Article

Consistent mesh parameterizations

Authors:

Emil Praun,

Wim Sweldens,

Peter SchröderAuthors Info & Claims

SIGGRAPH '01: Proceedings of the 28th annual conference on Computer graphics and interactive techniques

Pages 179 - 184

https://doi.org/10.1145/383259.383277

Published: 01 August 2001 Publication History

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Abstract

A basic element of Digital Geometry Processing algorithms is the establishment of a smooth parameterization for a given model. In this paper we propose an algorithm which establishes parameterizations for a set of models. The parameterizations are called consistent because they share the same base domain and respect features. They give immediate correspondences between models and allow remeshes with the same connectivity. Such remeshes form the basis for a large class of algorithms, including principal component analysis, wavelet transforms, detail and texture transfer between models, and n-way shape blending. We demonstrate the versatility of our algorithm with a number of examples.

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Cited By

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Liu SJi YGuo JLiu LFu X(2024)Smooth Bijective Projection in a High-order ShellACM Transactions on Graphics10.1145/365820743:4(1-13)Online publication date: 19-Jul-2024
https://dl.acm.org/doi/10.1145/3658207
Livesu M(2024)Advancing Front Surface MappingComputer Graphics Forum10.1111/cgf.1502643:2Online publication date: 30-Apr-2024
https://doi.org/10.1111/cgf.15026
Brückler HCampen M(2023)Collapsing Embedded Cell Complexes for Safer Hexahedral MeshingACM Transactions on Graphics10.1145/361838442:6(1-24)Online publication date: 5-Dec-2023
https://dl.acm.org/doi/10.1145/3618384
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Index Terms

Consistent mesh parameterizations
1. Computing methodologies
  1. Computer graphics
2. Theory of computation
  1. Randomness, geometry and discrete structures
    1. Computational geometry

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SIGGRAPH '03: ACM SIGGRAPH 2003 Papers

Good parameterizations are of central importance in many digital geometry processing tasks. Typically the behavior of such processing algorithms is related to the smoothness of the parameterization and how much distortion it contains. Since a ...

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SIGGRAPH '01: Proceedings of the 28th annual conference on Computer graphics and interactive techniques

August 2001

600 pages

ISBN:158113374X

DOI:10.1145/383259

Chairman:
Lynn Pocock
New York Inst. of Technology

Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Published: 01 August 2001

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SIGGRAPH '01 Paper Acceptance Rate 65 of 300 submissions, 22%;

Overall Acceptance Rate 1,822 of 8,601 submissions, 21%

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Liu SJi YGuo JLiu LFu X(2024)Smooth Bijective Projection in a High-order ShellACM Transactions on Graphics10.1145/365820743:4(1-13)Online publication date: 19-Jul-2024
https://dl.acm.org/doi/10.1145/3658207
Livesu M(2024)Advancing Front Surface MappingComputer Graphics Forum10.1111/cgf.1502643:2Online publication date: 30-Apr-2024
https://doi.org/10.1111/cgf.15026
Brückler HCampen M(2023)Collapsing Embedded Cell Complexes for Safer Hexahedral MeshingACM Transactions on Graphics10.1145/361838442:6(1-24)Online publication date: 5-Dec-2023
https://dl.acm.org/doi/10.1145/3618384
Cherchi GLivesu M(2023)VOLMAP: a Large Scale Benchmark for Volume Mappings to Simple Base DomainsComputer Graphics Forum10.1111/cgf.1491542:5Online publication date: 10-Aug-2023
https://doi.org/10.1111/cgf.14915
Schmidt PPieper DKobbelt L(2023)Surface Maps via Adaptive TriangulationsComputer Graphics Forum10.1111/cgf.1474742:2(103-117)Online publication date: 23-May-2023
https://doi.org/10.1111/cgf.14747
Xie WWang MLin DShi BJiang J(2023)Surface Geometry Processing: An Efficient Normal-based Detail RepresentationIEEE Transactions on Pattern Analysis and Machine Intelligence10.1109/TPAMI.2023.3296509(1-16)Online publication date: 2023
https://doi.org/10.1109/TPAMI.2023.3296509
Takayama K(2022)Compatible intrinsic triangulationsACM Transactions on Graphics10.1145/3528223.353017541:4(1-12)Online publication date: 22-Jul-2022
https://dl.acm.org/doi/10.1145/3528223.3530175
Lee KSong H(2021)Automation of 3D average human body shape modeling using Rhino and Grasshopper AlgorithmFashion and Textiles10.1186/s40691-021-00249-68:1Online publication date: 15-Jun-2021
https://doi.org/10.1186/s40691-021-00249-6
Morreale LAigerman NKim VMitra N(2021)Neural Surface Maps2021 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR)10.1109/CVPR46437.2021.00461(4637-4646)Online publication date: Jun-2021
https://doi.org/10.1109/CVPR46437.2021.00461
Jiang ZSchneider TZorin DPanozzo D(2020)Bijective projection in a shellACM Transactions on Graphics10.1145/3414685.341776939:6(1-18)Online publication date: 27-Nov-2020
https://dl.acm.org/doi/10.1145/3414685.3417769
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Geometrically Consistent Mesh Modification

Globally smooth parameterizations with low distortion

Globally smooth parameterizations with low distortion

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