WO2023020057A1 - Fire spreading simulation acceleration method and system based on model simplification - Google Patents
Fire spreading simulation acceleration method and system based on model simplification Download PDFInfo
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- the invention relates to the field of geographic information processing, in particular to a method and system for accelerating fire spread simulation based on model simplification.
- the premise of constructing the isolation zone is to predict the time-varying process of the disaster-affected area as quickly and accurately as possible, and at the same time design the control strategy and quantify its impact on the disaster-affected area.
- the spreading control model based on discrete differential inclusion is usually used to simulate the dynamic spreading process of forest fires. If there are too many discrete points, it will lead to an excessive amount of calculation when using this discrete model to perform numerical simulation of the disaster-affected area.
- the object of the present invention is to provide a fire spread simulation acceleration method and system based on model simplification, which can greatly increase the speed of dynamic spread simulation on the premise of ensuring the accuracy of the model as much as possible.
- the first technical solution adopted in the present invention is: a method for accelerating the simulation of fire spread based on model simplification, comprising the following steps:
- the step of obtaining forest fire fire point monitoring data and extracting the disaster-affected area boundary of forest fire to obtain the disaster-affected area boundary information specifically includes:
- the step of determining the speed set of the key parameters of the sprawl model according to the boundary information of the disaster area and constructing the initial sprawl model specifically includes:
- step of simplifying the initial spreading model to obtain the simplified discrete spreading model specifically includes:
- the step of judging whether each 4-point group is in a small triangular area together specifically includes:
- ⁇ 1 , ⁇ 2 , and ⁇ 3 represent convex combination coefficients, which satisfy the following expressions:
- the second technical solution adopted by the present invention is: a fire spread simulation acceleration system based on model simplification, comprising:
- the information extraction module is used to obtain forest fire fire point monitoring data and extract the boundary of the affected area of the forest fire to obtain the boundary information of the affected area;
- the initial model construction module is used to determine the speed set of the key parameters of the sprawl model according to the boundary information of the disaster area and construct the initial sprawl model;
- the simplification module is used to simplify the initial spread model to obtain a simplified discrete spread model
- the dynamic simulation module performs dynamic simulation of the disaster-affected area based on the simplified discrete sprawl model.
- the present invention initially constructs the spread and simplifies the model, reduces redundant data, and doubles the time required to complete the dynamic simulation of the disaster-affected area while ensuring the prediction accuracy. Provide more time for follow-up disaster prediction, control strategy design, and disaster relief scheduling, which can reduce the damage caused by disasters and reduce losses.
- Fig. 1 is a kind of step flow chart of the fire spread simulation acceleration method based on model simplification of the present invention
- Fig. 2 is a schematic diagram of a selected region, a discrete point and a velocity set thereof according to a specific embodiment of the present invention
- Fig. 3 is a schematic diagram of a discrete point and its velocity set amplification according to a specific embodiment of the present invention
- Fig. 4 is a schematic diagram of a velocity set at a single discrete point according to a specific embodiment of the present invention.
- Fig. 5 is a schematic diagram of discrete points and their velocity sets in the same small triangle according to a specific embodiment of the present invention.
- Fig. 6 is a schematic diagram of a simplified initial spreading model according to a specific embodiment of the present invention.
- Fig. 7 is a schematic diagram of discrete points and their velocity sets in the area before simplification according to a specific embodiment of the present invention.
- Fig. 8 is a schematic diagram of discrete points and their velocity sets in the area after simplification according to a specific embodiment of the present invention.
- Fig. 9 is a structural block diagram of a fire spread simulation acceleration system based on model simplification in the present invention.
- the present invention provides a kind of fire spread simulation acceleration method based on model simplification, and this method comprises the following steps:
- the step of obtaining the forest fire fire point monitoring data and extracting the disaster-affected area boundary of the forest fire to obtain the disaster-affected area boundary information specifically includes:
- the step of determining the speed set of the key parameters of the spreading model according to the boundary information of the disaster-affected area and constructing the initial spreading model specifically includes:
- the velocity set at the discrete point is set.
- the central point represents the position of the discrete point
- the peripheral points represent the maximum spread of the modulus in a limited number of directions.
- the end point of the velocity vector, the length of the dotted line represents the modulus length of the velocity vector, therefore, the velocity vector represented by the peripheral point can be expressed by the following formula:
- f(x) (v*cos ⁇ ,v*sin ⁇ ), f(x) ⁇ F(x).
- v is the modulus length of the velocity vector, that is, the length of the dotted line between the center point and the peripheral point, and ⁇ is the angle between the dotted line and the coordinate axis.
- the step of simplifying the initial spreading model to obtain the simplified discrete spreading control model specifically includes:
- the selected k 4-point groups there may be 4-point groups with null values, and an operation of removing null values is required.
- the n discrete points in the original model are either correctly divided into 4-point groups belonging to the same small triangle as it, or they have not been correctly classified and are stored in the residue array.
- the class represented by each group in these k' 4-point groups already contains all the points that belong to the same small triangle as the 4-point group
- FIG. 7 for n discrete points and their velocity sets in the region before simplification
- FIG. 8 for m discrete points and their velocity sets after simplification.
- the problem of simplifying the initial spreading model specifically includes:
- This step specifically includes:
- the judgment condition for judging whether it is non-collinear is Rank is 2.
- the expression of the preset reconstruction formula is as follows:
- ⁇ 1 , ⁇ 2 , and ⁇ 3 represent convex combination coefficients, which satisfy the following expressions:
- a fire spread simulation acceleration system based on model simplification includes:
- the information extraction module is used to obtain forest fire fire point monitoring data and extract the boundary of the affected area of the forest fire to obtain the boundary information of the affected area;
- the initial model construction module is used to determine the speed set of the key parameters of the sprawl model according to the boundary information of the disaster area and construct the initial sprawl model;
- the simplification module is used to simplify the initial spread model to obtain a simplified discrete spread model
- the dynamic simulation module performs dynamic simulation of the disaster-affected area based on the simplified discrete sprawl model.
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Abstract
Disclosed in the present invention are a fire spreading simulation acceleration method and system based on model simplification. The method comprises: acquiring forest fire point monitoring data and extracting an affected area boundary of a forest fire, so as to obtain affected area boundary information; determining speed sets of key parameters of a spreading model according to the affected area boundary information, and constructing an initial spreading model; simplifying the initial spreading model to obtain a simplified discrete spreading model; and dynamically simulating an affected area on the basis of the simplified discrete spreading model. The system comprises: an information extraction model, an initial model construction model, a simplification module and a dynamic simulation model. By means of the present invention, the time required for completing dynamic simulation of an affected area can be reduced while the prediction precision is ensured. The fire spreading simulation acceleration method and system based on model simplification in the present invention can be widely applied in the field of geographic information processing.
Description
本发明涉及地理信息处理领域,尤其涉及一种基于模型简化的火灾蔓延模拟加速方法及系统。The invention relates to the field of geographic information processing, in particular to a method and system for accelerating fire spread simulation based on model simplification.
在世界范围内,蔓延性灾害频发,威胁生态环境、生命与财产安全。下面以森林火灾为例介绍蔓延控制。大规模森林火灾难以人工扑灭,通常需要有效地建立隔离带,以遏制蔓延或保护人类和动物的栖息地。而构建隔离带的前提是,要尽可能快速准确地预测出受灾区域随时间变化的过程且同时设计控制策略并量化其对受灾区域的影响。Worldwide, sprawling disasters occur frequently, threatening the ecological environment, life and property safety. The following takes forest fire as an example to introduce the spread control. Large-scale forest fires are difficult to extinguish manually and often require effective containment to contain the spread or protect human and animal habitats. The premise of constructing the isolation zone is to predict the time-varying process of the disaster-affected area as quickly and accurately as possible, and at the same time design the control strategy and quantify its impact on the disaster-affected area.
在现有蔓延性灾害的研究中,通常使用基于离散微分包含的蔓延控制模型来模拟出森林火灾动态蔓延过程,但是目前选取的有限个离散点及其速度集在数目方面没有明确限定,如果选取的离散点过多,会导致利用该离散模型对受灾区域进行数值仿真时计算量过大。In the existing research on spreading disasters, the spreading control model based on discrete differential inclusion is usually used to simulate the dynamic spreading process of forest fires. If there are too many discrete points, it will lead to an excessive amount of calculation when using this discrete model to perform numerical simulation of the disaster-affected area.
为了解决上述技术问题,本发明的目的是提供一种基于模型简化的火灾蔓延模拟加速方法及系统,能够在尽可能保障模型准确率的前提下,大幅提升蔓延动态仿真速度。In order to solve the above-mentioned technical problems, the object of the present invention is to provide a fire spread simulation acceleration method and system based on model simplification, which can greatly increase the speed of dynamic spread simulation on the premise of ensuring the accuracy of the model as much as possible.
本发明所采用的第一技术方案是:一种基于模型简化的火灾蔓延模拟加速方法,包括以下步骤:The first technical solution adopted in the present invention is: a method for accelerating the simulation of fire spread based on model simplification, comprising the following steps:
S1、获取森林火灾火点监测数据并提取森林火灾的受灾区域边界,得到受灾区域边界信息;S1. Obtain forest fire fire point monitoring data and extract the boundary of the affected area of the forest fire to obtain the boundary information of the affected area;
S2、根据受灾区域边界信息确定蔓延模型关键参数的速度集并构建初始蔓延模型;S2. Determine the speed set of the key parameters of the spreading model according to the boundary information of the disaster-affected area and construct the initial spreading model;
S3、对初始蔓延模型进行简化,得到简化后的离散蔓延模型;S3. Simplifying the initial spreading model to obtain a simplified discrete spreading model;
S4、基于简化后的离散蔓延模型进行受灾区域动态仿真。S4. Perform dynamic simulation of the disaster-affected area based on the simplified discrete sprawl model.
进一步,所述获取森林火灾火点监测数据并提取森林火灾的受灾区域边界,得到受灾区域边界信息这一步骤,其具体包括:Further, the step of obtaining forest fire fire point monitoring data and extracting the disaster-affected area boundary of forest fire to obtain the disaster-affected area boundary information specifically includes:
S11、从森林火灾火点监测网站上下载由卫星探测得到的地表温度数据并读取该地表温度数据中的原始热红外数据集;S11. Download the surface temperature data obtained by satellite detection from the forest fire fire point monitoring website and read the original thermal infrared data set in the surface temperature data;
S12、根据原始热红外数据集筛选火点信息;S12. Screen fire point information according to the original thermal infrared data set;
S13、根据火点信息提取得到实际的森林火灾的受灾区域边界。S13. Extracting the actual boundary of the affected area of the forest fire according to the fire point information.
进一步,所述根据受灾区域边界信息确定蔓延模型关键参数的速度集并构建初始蔓延模型这一步骤,其具体包括:Further, the step of determining the speed set of the key parameters of the sprawl model according to the boundary information of the disaster area and constructing the initial sprawl model specifically includes:
S21、选择研究区域Ω并在研究区域Ω内生成n个离散点:x
1,x
2,x
3,…,x
n∈Ω,并为这n个离散点设置对应的速度集:F(x
1),F(x
2),F(x
3),…,F(x
n)。
S21. Select the research area Ω and generate n discrete points in the research area Ω: x 1 , x 2 , x 3 ,…, x n ∈ Ω, and set the corresponding velocity set for these n discrete points: F(x 1 ), F(x 2 ), F(x 3 ),…,F(x n ).
进一步,所述对初始蔓延模型进行简化,得到简化后的离散蔓延模型这一步骤,其具体包括:Further, the step of simplifying the initial spreading model to obtain the simplified discrete spreading model specifically includes:
S31、将小三角形区域内的还未正确分类的离散点根据它们之间欧式距离的大小粗分类为k组数据子集;S31. Roughly classify the discrete points in the small triangle area that have not been correctly classified into k groups of data subsets according to the size of the Euclidean distance between them;
S32、遍历这k组数据子集,在每组数据子集中选择4个离散点作为一个4点组,4点组数量为k组;S32. Traverse the k sets of data subsets, select 4 discrete points in each set of data subsets as a 4-point group, and the number of 4-point groups is k groups;
S33、判断每个4点组是否同处于一个的小三角形区域内;S33, judging whether each group of 4 points is in the same small triangle area;
S34、保留包含在同一个小三角形内的4点组并将不处于同一小三角形的4点组设为空值;S34. Keep the 4-point groups included in the same small triangle and set the 4-point groups that are not in the same small triangle as null values;
S35、遍历所有非空的4点组,去掉属于同一个小三角形的多余的4点组,剩余4点组的数量为k'组;S35, traverse all non-empty 4-point groups, remove redundant 4-point groups belonging to the same small triangle, and the number of remaining 4-point groups is k' groups;
S36、遍历区域内n个离散点,判断到离散点x
i和某个4点组属于相同小三角形,则将离散点x
i加入该4点组所代表的类,判断到离散点x
i不属于k'个4点组中的任意一组,则将该点加入到residue数组中,所述residue数组用于存储下次迭代需要遍历的离散点;
S36. Traversing n discrete points in the area, and judging that the discrete point x i and a certain 4-point group belong to the same small triangle, then adding the discrete point xi to the class represented by the 4-point group, judging that the discrete point x i does not Belong to any one of the k' 4-point groups, then add the point to the residue array, and the residue array is used to store the discrete points that need to be traversed in the next iteration;
S37、将k'个4点组每个组所代表的类的凸包边界点加入到residue数组中并去重,将k'个4点组每个组所代表的类的凸包边界加入到final_TB数组中并去重。S37. Add the convex hull boundary points of the class represented by each group of k' 4-point groups to the residue array and remove the duplicates, and add the convex hull boundary points of the class represented by each group of k' 4-point groups to final_TB array and deduplication.
S38、循环步骤S31-S37直至residue数组与final_TB数组完全一致,得到简化模型所需的离散点及其速度集,生成简化后的离散蔓延模型。S38. Repeat steps S31-S37 until the residue array is completely consistent with the final_TB array, obtain discrete points and their velocity sets required by the simplified model, and generate a simplified discrete spread model.
进一步,所述判断每个4点组是否同处于一个的小三角形区域内这一步骤,其具体包括:Further, the step of judging whether each 4-point group is in a small triangular area together specifically includes:
S331、在每个4点组寻找3个离散点,判断这3个点x
1,x
2,x
3是否不共线,判断到点x
1,x
2,x
3不共线,转到步骤S312,否则,继续寻找不共线的3个离散点;
S331. Find 3 discrete points in each 4-point group, judge whether these 3 points x 1 , x 2 , x 3 are not collinear, judge that the points x 1 , x 2 , x 3 are not collinear, go to step S312, otherwise, continue to search for 3 discrete points that are not collinear;
S332、在4点组中选不共线的三点之外的点作为第4个点x
4并根据预设重构公式近似重构得到
S332. Select a point other than the three non-collinear points in the 4-point group as the fourth point x 4 , and obtain the approximate reconstruction according to the preset reconstruction formula
S333、计算速度集之间的误差
判断到误差小于预设阈值,则找到属于同一个小三角形的4点组。
S333. Calculate the error between speed sets If it is judged that the error is less than the preset threshold, then find the group of 4 points belonging to the same small triangle.
进一步,所述预设重构公式的表达式如下:Further, the expression of the preset reconstruction formula is as follows:
β
1+β
2+β
3=1.
β 1 +β 2 +β 3 =1.
上式中,β
1,β
2,β
3表示凸组合系数,该系数满足的表达式如下:
In the above formula, β 1 , β 2 , and β 3 represent convex combination coefficients, which satisfy the following expressions:
x
4=β
1·x
1+β
2·x
2+β
3·x
3,β
1+β
2+β
3=1.
x 4 =β 1 ·x 1 +β 2 ·x 2 +β 3 ·x 3 ,β 1 +β 2 +β 3 =1.
本发明所采用的第二技术方案是:一种基于模型简化的火灾蔓延模拟加速系统,包括:The second technical solution adopted by the present invention is: a fire spread simulation acceleration system based on model simplification, comprising:
信息提取模块,用于获取森林火灾火点监测数据并提取森林火灾的受灾区域边界,得到受灾区域边界信息;The information extraction module is used to obtain forest fire fire point monitoring data and extract the boundary of the affected area of the forest fire to obtain the boundary information of the affected area;
初始模型构建模块,用于根据受灾区域边界信息确定蔓延模型关键参数的速度集并构建初始蔓延模型;The initial model construction module is used to determine the speed set of the key parameters of the sprawl model according to the boundary information of the disaster area and construct the initial sprawl model;
简化模块,用于对初始蔓延模型进行简化,得到简化后的离散蔓延模型;The simplification module is used to simplify the initial spread model to obtain a simplified discrete spread model;
动态仿真模块,基于简化后的离散蔓延模型进行受灾区域动态仿真。The dynamic simulation module performs dynamic simulation of the disaster-affected area based on the simplified discrete sprawl model.
本发明方法及系统的有益效果是:本发明先初步构建蔓延并对模型进行简化,减少冗余数据,在保证预测精度的情况下,成倍地减小完成受灾区域动态仿真所需的时间,为后续灾害预测、控制策略设计、以及救灾调度等工作提供更宽裕的时间,进而可以降低灾害造成的破坏、减少损失。The beneficial effects of the method and system of the present invention are: the present invention initially constructs the spread and simplifies the model, reduces redundant data, and doubles the time required to complete the dynamic simulation of the disaster-affected area while ensuring the prediction accuracy. Provide more time for follow-up disaster prediction, control strategy design, and disaster relief scheduling, which can reduce the damage caused by disasters and reduce losses.
图1是本发明一种基于模型简化的火灾蔓延模拟加速方法的步骤流程图;Fig. 1 is a kind of step flow chart of the fire spread simulation acceleration method based on model simplification of the present invention;
图2是本发明具体实施例选择区域和离散点及其速度集的示意图;Fig. 2 is a schematic diagram of a selected region, a discrete point and a velocity set thereof according to a specific embodiment of the present invention;
图3是本发明具体实施例离散点及其速度集放大的示意图;Fig. 3 is a schematic diagram of a discrete point and its velocity set amplification according to a specific embodiment of the present invention;
图4是本发明具体实施例单个离散点处的速度集的示意图;Fig. 4 is a schematic diagram of a velocity set at a single discrete point according to a specific embodiment of the present invention;
图5是本发明具体实施例处于同一个小三角形的离散点及其速度集的示意图;Fig. 5 is a schematic diagram of discrete points and their velocity sets in the same small triangle according to a specific embodiment of the present invention;
图6是本发明具体实施例对初始蔓延模型进行简化的示意图;Fig. 6 is a schematic diagram of a simplified initial spreading model according to a specific embodiment of the present invention;
图7是本发明具体实施例简化前区域内的离散点及其速度集的示意图;Fig. 7 is a schematic diagram of discrete points and their velocity sets in the area before simplification according to a specific embodiment of the present invention;
图8是本发明具体实施例简化后区域内的离散点及其速度集的示意图;Fig. 8 is a schematic diagram of discrete points and their velocity sets in the area after simplification according to a specific embodiment of the present invention;
图9是本发明一种基于模型简化的火灾蔓延模拟加速系统的结构框图。Fig. 9 is a structural block diagram of a fire spread simulation acceleration system based on model simplification in the present invention.
下面结合附图和具体实施例对本发明做进一步的详细说明。对于以下实施例中的步骤编号,其仅为了便于阐述说明而设置,对步骤之间的顺序不做任何限定,实施例中的各步骤的执行顺序均可根据本领域技术人员的理解来进行适应性调整。The present invention will be further described in detail below in conjunction with the accompanying drawings and specific embodiments. For the step numbers in the following embodiments, it is only set for the convenience of illustration and description, and the order between the steps is not limited in any way. The execution order of each step in the embodiments can be adapted according to the understanding of those skilled in the art sexual adjustment.
参照图1,本发明提供了一种基于模型简化的火灾蔓延模拟加速方法,该方法包括以下步骤:With reference to Fig. 1, the present invention provides a kind of fire spread simulation acceleration method based on model simplification, and this method comprises the following steps:
S1、获取森林火灾火点监测数据并提取森林火灾的受灾区域边界,得到受灾区域边界信息;S1. Obtain forest fire fire point monitoring data and extract the boundary of the affected area of the forest fire to obtain the boundary information of the affected area;
S2、根据受灾区域边界信息确定蔓延模型关键参数的速度集并构建初始蔓延模型;S2. Determine the speed set of the key parameters of the spreading model according to the boundary information of the disaster-affected area and construct the initial spreading model;
S3、对初始蔓延模型进行简化,得到简化后的离散蔓延模型;S3. Simplifying the initial spreading model to obtain a simplified discrete spreading model;
S4、基于简化后的离散蔓延模型进行受灾区域动态仿真。S4. Perform dynamic simulation of the disaster-affected area based on the simplified discrete sprawl model.
进一步作为本方法的优选实施例,所述获取森林火灾火点监测数据并提取森林火灾的受灾区域边界,得到受灾区域边界信息这一步骤,其具体包括:Further as a preferred embodiment of this method, the step of obtaining the forest fire fire point monitoring data and extracting the disaster-affected area boundary of the forest fire to obtain the disaster-affected area boundary information specifically includes:
S11、从森林火灾火点监测网站上下载由卫星探测得到的地表温度数据并读取该地表温度数据中的原始热红外数据集;S11. Download the surface temperature data obtained by satellite detection from the forest fire fire point monitoring website and read the original thermal infrared data set in the surface temperature data;
S12、根据原始热红外数据集筛选火点信息;S12. Screen fire point information according to the original thermal infrared data set;
具体地,读取热红外数据集中的DN值并计算第22波段和第31波段的辐射亮度,然后利用辐射亮度计算波段22和波段31的亮度温度值,根据第22波段和第31波段的亮度温度值筛选火点信息。Specifically, read the DN value in the thermal infrared data set and calculate the radiance of the 22nd and 31st bands, and then use the radiance to calculate the brightness temperature values of the 22nd and 31st bands, according to the brightness of the 22nd and 31st bands Fire point information is filtered by the temperature value.
S13、根据火点信息提取得到实际的森林火灾的受灾区域边界。S13. Extracting the actual boundary of the affected area of the forest fire according to the fire point information.
进一步作为本方法的优选实施例,所述根据受灾区域边界信息确定蔓延模型关键参数的速度集并构建初始蔓延模型这一步骤,其具体包括:Further as a preferred embodiment of this method, the step of determining the speed set of the key parameters of the spreading model according to the boundary information of the disaster-affected area and constructing the initial spreading model specifically includes:
S21、选择研究区域Ω并在研究区域Ω内生成n个离散点:x
1,x
2,x
3,…,x
n∈Ω,并根据为受灾区域边界信息这n个离散点设置对应的速度集:F(x
1),F(x
2),F(x
3),…,F(x
n);
S21. Select the research area Ω and generate n discrete points in the research area Ω: x 1 , x 2 , x 3 ,..., x n ∈ Ω, and set the corresponding speed according to the n discrete points for the boundary information of the disaster area Set: F(x 1 ),F(x 2 ),F(x 3 ),…,F(x n );
具体地,选择一个128km×128km的研究区域Ω=[-64,64]×[-64,64],
在区域Ω内随机选择n个离散点x={x
1,x
2,x
3,…,x
n},定义点x
i处的速度集为F(x
i),1≤i≤n,n≈400,生成效果如图2。其中方框表示研究区域Ω的边界,每个点簇表示离散点及其速度集。离散点及其速度集的放大图参照图3,其中方框表示选中区域,交叉点表示离散点,交叉点周围的圆点表示离散点的速度集。
Specifically, select a 128km×128km research area Ω=[-64,64]×[-64,64], Randomly select n discrete points x={x 1 ,x 2 ,x 3 ,…,x n } in the area Ω, define the velocity set at point x i as F( xi ), 1≤i≤n,n ≈400, the generated effect is shown in Figure 2. where the box represents the boundary of the study area Ω, and each point cluster represents a discrete point and its velocity set. Refer to Figure 3 for the enlarged view of the discrete point and its velocity set, where the box indicates the selected area, the intersection indicates the discrete point, and the dots around the intersection indicate the velocity set of the discrete point.
另外,以受灾区域边界信息作为实际数据支撑,设置离散点处的速度集,速度集的示意图参照图4,中心点代表离散点所在的位置,外围点表示在有限个方向上模长最大的蔓延速度向量的终点,虚线的长度表示速度向量的模长,因此,外围点处的所代表速度向量可以用下面公式表示:In addition, with the boundary information of the affected area as the actual data support, the velocity set at the discrete point is set. Refer to Figure 4 for the schematic diagram of the velocity set. The central point represents the position of the discrete point, and the peripheral points represent the maximum spread of the modulus in a limited number of directions. The end point of the velocity vector, the length of the dotted line represents the modulus length of the velocity vector, therefore, the velocity vector represented by the peripheral point can be expressed by the following formula:
f(x)=(v*cosθ,v*sinθ),f(x)∈F(x).f(x)=(v*cosθ,v*sinθ), f(x)∈F(x).
上式中,v是速度向量的模长,即中心点到外围点之间虚线的长度,θ为该虚线与坐标轴之间的夹角。In the above formula, v is the modulus length of the velocity vector, that is, the length of the dotted line between the center point and the peripheral point, and θ is the angle between the dotted line and the coordinate axis.
进一步作为本方法的优选实施例,参照图6,所述对初始蔓延模型进行简化,得到简化后的离散蔓延控制模型这一步骤,其具体包括:Further as a preferred embodiment of the method, referring to Fig. 6, the step of simplifying the initial spreading model to obtain the simplified discrete spreading control model specifically includes:
S31、将小三角形区域内的还未正确分类的离散点根据它们之间欧式距离的大小粗分类为k组数据子集;S31. Roughly classify the discrete points in the small triangle area that have not been correctly classified into k groups of data subsets according to the size of the Euclidean distance between them;
S32、遍历这k组数据子集,在每组数据子集中选择4个离散点作为一个4点组,4点组数量为k组;S32. Traverse the k sets of data subsets, select 4 discrete points in each set of data subsets as a 4-point group, and the number of 4-point groups is k groups;
S33、判断每个4点组是否同处于一个的小三角形区域内;S33, judging whether each group of 4 points is in the same small triangle area;
S34、保留包含在同一个小三角形内的4点组并将不处于同一小三角形的4点组设为空值;S34. Keep the 4-point groups included in the same small triangle and set the 4-point groups that are not in the same small triangle as null values;
具体地,选出来的k个4点组中可能存在为空值的4点组,需要进行去除空值操作。Specifically, among the selected k 4-point groups, there may be 4-point groups with null values, and an operation of removing null values is required.
S35、遍历所有非空的4点组,去掉属于同一个小三角形的多余的4点组,剩余4点组的数量为k'组;S35, traverse all non-empty 4-point groups, remove redundant 4-point groups belonging to the same small triangle, and the number of remaining 4-point groups is k' groups;
S36、遍历区域内n个离散点,判断到离散点x
i和某个4点组属于相同小三角形,则将离散点x
i加入该4点组所代表的类,判断到离散点x
i不属于k'个4点组中的任意一组,则将该点加入到residue数组中,所述residue数组用于存储下次迭代需要遍历的离散点;
S36. Traversing n discrete points in the area, and judging that the discrete point x i and a certain 4-point group belong to the same small triangle, then adding the discrete point xi to the class represented by the 4-point group, judging that the discrete point x i does not Belong to any one of the k' 4-point groups, then add the point to the residue array, and the residue array is used to store the discrete points that need to be traversed in the next iteration;
具体地,完成上述步骤之后,原模型中的n个离散点,要么被正确划分到和它属于同一小三角形的4点组中,要么还未被正确分类而被存储到了residue数组中。这k'个4点组中每个组所代表的类,已经包含了所有和该4点组属于同一小三角形的点Specifically, after the above steps are completed, the n discrete points in the original model are either correctly divided into 4-point groups belonging to the same small triangle as it, or they have not been correctly classified and are stored in the residue array. The class represented by each group in these k' 4-point groups already contains all the points that belong to the same small triangle as the 4-point group
S37、将k'个4点组每个组所代表的类的凸包边界点加入到residue数组中并去重,将k'个4点组每个组所代表的类的凸包边界加入到final_TB数组中并去重。S37. Add the convex hull boundary points of the class represented by each group of k' 4-point groups to the residue array and remove the duplicates, and add the convex hull boundary points of the class represented by each group of k' 4-point groups to final_TB array and deduplication.
S38、循环步骤S31-S37直至rdsidue数组与final_TB数组完全一致,得到简化模型所需的离散点及其速度集,生成简化后的离散蔓延模型。S38. Repeat steps S31-S37 until the rdsidue array is completely consistent with the final_TB array, obtain discrete points and their velocity sets required by the simplified model, and generate a simplified discrete-spread model.
具体地,简化前的区域内n个离散点及其速度集参照图7,简化后的m个离散点及其速度集参照图8。Specifically, refer to FIG. 7 for n discrete points and their velocity sets in the region before simplification, and refer to FIG. 8 for m discrete points and their velocity sets after simplification.
进一步作为本方法优选实施例,所述对初始蔓延模型进行简化这一问题,其具体包括:Further as a preferred embodiment of this method, the problem of simplifying the initial spreading model specifically includes:
S39、对模型进行简化,在区域内找到最具有代表性的m个离散点,其中m<<n。用这m个离散点处的速度集近似刻画重构出区域内所有n个点处的速度集,并使得近似重构得到的速度集和真实的速度集之间的误差之和最小。因此,该蔓延控制模型简化问题的数学描述为:S39. Simplify the model, and find the most representative m discrete points in the region, where m<<n. The velocity sets at the m discrete points are used to approximate and reconstruct the velocity sets at all n points in the region, and the sum of errors between the approximately reconstructed velocity sets and the real velocity sets is minimized. Therefore, the mathematical description of the simplified problem of the sprawl control model is:
x
k∈Δy
k1y
k2y
k3,1≤k≤n.
x k ∈Δy k1 y k2 y k3 , 1≤k≤n.
进一步作为本方法优选实施例,所述判断每个4点组是否同处于一个的小三角形区域内Further as a preferred embodiment of this method, said judging whether each group of 4 points is in a small triangular area
这一步骤,其具体包括:This step specifically includes:
S331、在每个4点组寻找3个离散点,判断这3个点x
1,x
2,x
3是否不共线,判断到点x
1,x
2,x
3不共线,转到步骤S312,否则,继续寻找不共线的3个离散点;
S331. Find 3 discrete points in each 4-point group, judge whether these 3 points x 1 , x 2 , x 3 are not collinear, judge that the points x 1 , x 2 , x 3 are not collinear, go to step S312, otherwise, continue to search for 3 discrete points that are not collinear;
具体地,判断是否不共线的判断条件是
秩为2。
Specifically, the judgment condition for judging whether it is non-collinear is Rank is 2.
S332、在4点组中选不共线的三点之外的点作为第4个点x
4并根据预设重构公式近似重
S332. In the 4-point group, select a point other than the three points that are not collinear as the fourth point x 4 , and approximate reconstruction according to the preset reconstruction formula
S333、计算速度集之间的误差
判断到误差小于预设阈值,则找到属于
S333. Calculate the error between speed sets If it is judged that the error is less than the preset threshold, then find the
同一个小三角形的4点组。Group of 4 points of the same small triangle.
进一步作为本方法优选实施例,所述预设重构公式的表达式如下:Further as a preferred embodiment of this method, the expression of the preset reconstruction formula is as follows:
β
1+β
2+β
3=1.
β 1 +β 2 +β 3 =1.
上式中,β
1,β
2,β
3表示凸组合系数,该系数满足的表达式如下:
In the above formula, β 1 , β 2 , and β 3 represent convex combination coefficients, which satisfy the following expressions:
x
4=β
1·x
1+β
2·x
2+β
3·x
3,β
1+β
2+β
3=1.
x 4 =β 1 ·x 1 +β 2 ·x 2 +β 3 ·x 3 ,β 1 +β 2 +β 3 =1.
如图9所示,一种基于模型简化的火灾蔓延模拟加速系统,包括:As shown in Figure 9, a fire spread simulation acceleration system based on model simplification includes:
信息提取模块,用于获取森林火灾火点监测数据并提取森林火灾的受灾区域边界,得到受灾区域边界信息;The information extraction module is used to obtain forest fire fire point monitoring data and extract the boundary of the affected area of the forest fire to obtain the boundary information of the affected area;
初始模型构建模块,用于根据受灾区域边界信息确定蔓延模型关键参数的速度集并构建初始蔓延模型;The initial model construction module is used to determine the speed set of the key parameters of the sprawl model according to the boundary information of the disaster area and construct the initial sprawl model;
简化模块,用于对初始蔓延模型进行简化,得到简化后的离散蔓延模型;The simplification module is used to simplify the initial spread model to obtain a simplified discrete spread model;
动态仿真模块,基于简化后的离散蔓延模型进行受灾区域动态仿真。The dynamic simulation module performs dynamic simulation of the disaster-affected area based on the simplified discrete sprawl model.
上述方法实施例中的内容均适用于本系统实施例中,本系统实施例所具体实现的功能与上述方法实施例相同,并且达到的有益效果与上述方法实施例所达到的有益效果也相同。The content in the above-mentioned method embodiments is applicable to this system embodiment. The specific functions realized by this system embodiment are the same as those of the above-mentioned method embodiments, and the beneficial effects achieved are also the same as those achieved by the above-mentioned method embodiments.
以上是对本发明的较佳实施进行了具体说明,但本发明创造并不限于所述实施例,熟悉本领域的技术人员在不违背本发明精神的前提下还可做作出种种的等同变形或替换,这些等同的变形或替换均包含在本申请权利要求所限定的范围内。The above is a specific description of the preferred implementation of the present invention, but the invention is not limited to the described embodiments, and those skilled in the art can also make various equivalent deformations or replacements without violating the spirit of the present invention. , these equivalent modifications or replacements are all within the scope defined by the claims of the present application.
Claims (7)
- 一种基于模型简化的火灾蔓延模拟加速方法,其特征在于,包括以下步骤:A fire spread simulation acceleration method based on model simplification, characterized in that it comprises the following steps:S1、获取森林火灾火点监测数据并提取森林火灾的受灾区域边界,得到受灾区域边界信息;S1. Obtain forest fire fire point monitoring data and extract the boundary of the affected area of the forest fire to obtain the boundary information of the affected area;S2、根据受灾区域边界信息确定蔓延模型关键参数的速度集并构建初始蔓延模型;S2. Determine the speed set of the key parameters of the spreading model according to the boundary information of the disaster-affected area and construct the initial spreading model;S3、对初始蔓延模型进行简化,得到简化后的离散蔓延模型;S3. Simplifying the initial spreading model to obtain a simplified discrete spreading model;S4、基于简化后的离散蔓延模型进行受灾区域动态仿真。S4. Perform dynamic simulation of the disaster-affected area based on the simplified discrete sprawl model.
- 根据权利要求1所述一种基于模型简化的火灾蔓延模拟加速方法,其特征在于,所述获取森林火灾火点监测数据并提取森林火灾的受灾区域边界,得到受灾区域边界信息这一步骤,其具体包括:According to claim 1, a method for accelerating the simulation of fire spread based on model simplification, characterized in that, the step of obtaining forest fire fire point monitoring data and extracting the disaster-affected area boundary of forest fire to obtain the disaster-affected area boundary information, comprises Specifically include:S11、从森林火灾火点监测网站上下载由卫星探测得到的地表温度数据并读取该地表温度数据中的原始热红外数据集;S11. Download the surface temperature data obtained by satellite detection from the forest fire fire point monitoring website and read the original thermal infrared data set in the surface temperature data;S12、根据原始热红外数据集筛选火点信息;S12. Screen fire point information according to the original thermal infrared data set;S13、根据火点信息提取得到实际的森林火灾的受灾区域边界。S13. Extracting the actual boundary of the affected area of the forest fire according to the fire point information.
- 根据权利要求2所述一种基于模型简化的火灾蔓延模拟加速方法,其特征在于,所述根据受灾区域边界信息确定蔓延模型关键参数的速度集并构建初始蔓延模型这一步骤,其具体包括:A fire spread simulation acceleration method based on model simplification according to claim 2, characterized in that the step of determining the speed set of the key parameters of the spread model and constructing the initial spread model according to the boundary information of the disaster area includes:选择研究区域Ω并在研究区域Ω内生成n个离散点:x 1,x 2,x 3,…,x n∈Ω,并为这n个离散点设置对应的速度集:F(x 1),F(x 2),F(x 3),…,F(x n)。 Select the research area Ω and generate n discrete points in the research area Ω: x 1 , x 2 , x 3 ,…, x n ∈ Ω, and set the corresponding velocity set for these n discrete points: F(x 1 ) ,F(x 2 ),F(x 3 ),…,F(x n ).
- 根据权利要求3所述一种基于模型简化的火灾蔓延模拟加速方法,其特征在于,所述对初始蔓延模型进行简化,得到简化后的离散蔓延模型这一步骤,其具体包括:A fire spread simulation acceleration method based on model simplification according to claim 3, wherein the step of simplifying the initial spread model to obtain a simplified discrete spread model specifically includes:S31、将小三角形区域内的还未正确分类的离散点根据它们之间欧式距离的大小粗分类为k组数据子集;S31. Roughly classify the discrete points in the small triangle area that have not been correctly classified into k groups of data subsets according to the size of the Euclidean distance between them;S32、遍历这k组数据子集,在每组数据子集中选择4个离散点作为一个4点组,4点组数量为k组;S32. Traverse the k sets of data subsets, select 4 discrete points in each set of data subsets as a 4-point group, and the number of 4-point groups is k groups;S33、判断每个4点组是否同处于一个的小三角形区域内;S33, judging whether each group of 4 points is in the same small triangle area;S34、保留包含在同一个小三角形内的4点组并将不处于同一小三角形的4点组设为空值;S34. Keep the 4-point groups included in the same small triangle and set the 4-point groups that are not in the same small triangle as null values;S35、遍历所有非空的4点组,去掉属于同一个小三角形的多余的4点组,剩余4点组的数量为k'组;S35, traverse all non-empty 4-point groups, remove redundant 4-point groups belonging to the same small triangle, and the number of remaining 4-point groups is k' groups;S36、遍历区域内n个离散点,判断到离散点x i和某个4点组属于相同小三角形,则 将离散点x i加入该4点组所代表的类;判断到离散点x i不属于k'个4点组中的任意一组,则将该点加入到residue数组中,所述residue数组用于存储下次迭代需要遍历的离散点; S36. Traversing n discrete points in the area, and judging that the discrete point x i and a certain 4-point group belong to the same small triangle, then adding the discrete point xi to the class represented by the 4-point group; judging that the discrete point xi does not Belong to any one of the k' 4-point groups, then add the point to the residue array, and the residue array is used to store the discrete points that need to be traversed in the next iteration;S37、将k'个4点组每个组所代表的类的凸包边界点加入到residue数组中并去重,将k'个4点组每个组所代表的类的凸包边界加入到final_TB数组中并去重,所述final_TB数组用于存放已知凸包边界点;S37. Add the convex hull boundary points of the class represented by each group of k' 4-point groups to the residue array and remove the duplicates, and add the convex hull boundary points of the class represented by each group of k' 4-point groups to In the final_TB array and deduplication, the final_TB array is used to store known convex hull boundary points;S38、循环步骤S31-S37直至residue数组与final_TB数组完全一致,得到简化模型所需的离散点及其速度集,生成简化后的离散蔓延模型。S38. Repeat steps S31-S37 until the residue array is completely consistent with the final_TB array, obtain discrete points and their velocity sets required by the simplified model, and generate a simplified discrete spread model.
- 根据权利要求4所述一种基于模型简化的火灾蔓延模拟加速方法,其特征在于,所述判断每个4点组是否同处于一个的小三角形区域内这一步骤,其具体包括:According to claim 4, a method for simulating fire spread based on model simplification, wherein the step of judging whether each 4-point group is in the same small triangular area includes:S331、在每个4点组寻找3个离散点,判断这3个点x 1,x 2,x 3是否不共线,判断到点x 1,x 2,x 3不共线,转到步骤S312,否则,继续寻找不共线的3个离散点; S331. Find 3 discrete points in each 4-point group, judge whether these 3 points x 1 , x 2 , x 3 are not collinear, judge that the points x 1 , x 2 , x 3 are not collinear, go to step S312, otherwise, continue to search for 3 discrete points that are not collinear;S332、在4点组中选不共线的三点之外的点作为第4个点x 4并根据预设重构公式近似重构得到 S332. Select a point other than the three non-collinear points in the 4-point group as the fourth point x 4 , and obtain the approximate reconstruction according to the preset reconstruction formula
- 根据权利要求5所述一种基于模型简化的火灾蔓延模拟加速方法,其特征在于,所述预设重构公式的表达式如下:A method for accelerating fire spread simulation based on model simplification according to claim 5, wherein the expression of the preset reconstruction formula is as follows:上式中,β 1,β 2,β 3表示凸组合系数,该系数满足的表达式如下: In the above formula, β 1 , β 2 , and β 3 represent convex combination coefficients, which satisfy the following expressions:x 4=β 1·x 1+β 2·x 2+β 3·x 3,β 1+β 2+β 3=1. x 4 =β 1 ·x 1 +β 2 ·x 2 +β 3 ·x 3 ,β 1 +β 2 +β 3 =1.
- 一种基于模型简化的火灾蔓延模拟加速系统,其特征在于,包括:A fire spread simulation acceleration system based on model simplification, characterized in that it includes:信息提取模块,用于获取森林火灾火点监测数据并提取森林火灾的受灾区域边界,得到受灾区域边界信息;The information extraction module is used to obtain forest fire fire point monitoring data and extract the boundary of the affected area of the forest fire to obtain the boundary information of the affected area;初始模型构建模块,用于根据受灾区域边界信息确定蔓延模型关键参数的速度集并构建初始蔓延模型;The initial model construction module is used to determine the speed set of the key parameters of the sprawl model according to the boundary information of the disaster area and construct the initial sprawl model;简化模块,用于对初始蔓延模型进行简化,得到简化后的离散蔓延模型;The simplification module is used to simplify the initial spread model to obtain a simplified discrete spread model;动态仿真模块,基于简化后的离散蔓延模型进行受灾区域动态仿真。The dynamic simulation module performs dynamic simulation of the disaster-affected area based on the simplified discrete sprawl model.
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