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Geometry Synthesis on Surfaces Using Field-Guided Shape Grammars

Published: 01 February 2011 Publication History

Abstract

We show how to model geometric patterns on surfaces. We build on the concept of shape grammars to allow the grammars to be guided by a vector or tensor field. Our approach affords greater artistic freedom in design and enables the use of grammars to create patterns on manifold surfaces. We show several application examples in visualization, anisotropic tiling of mosaics, and geometry synthesis on surfaces. In contrast to previous work, we can create patterns that adapt to the underlying surface rather than distorting the geometry with a texture parameterization. Additionally, we are the first to model patterns with a global structure thanks to the ability to derive field-guided shape grammars on surfaces.

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  • (2022)geoTangle: Interactive Design of Geodesic Tangle Patterns on SurfacesACM Transactions on Graphics10.1145/348790941:2(1-17)Online publication date: 30-Apr-2022
  • (2022)Binary Image Carving for 3D PrintingComputer-Aided Design10.1016/j.cad.2019.05.028114:C(191-201)Online publication date: 20-Apr-2022
  • (2020)Autocomplete Element FieldsProceedings of the 2020 CHI Conference on Human Factors in Computing Systems10.1145/3313831.3376248(1-13)Online publication date: 21-Apr-2020
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  1. Geometry Synthesis on Surfaces Using Field-Guided Shape Grammars

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      Published In

      cover image IEEE Transactions on Visualization and Computer Graphics
      IEEE Transactions on Visualization and Computer Graphics  Volume 17, Issue 2
      February 2011
      132 pages

      Publisher

      IEEE Educational Activities Department

      United States

      Publication History

      Published: 01 February 2011

      Author Tags

      1. Shape grammars
      2. Shape grammars, tensor fields, vector fields, surfaces, geometry synthesis.
      3. geometry synthesis.
      4. surfaces
      5. tensor fields
      6. vector fields

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      Cited By

      View all
      • (2022)geoTangle: Interactive Design of Geodesic Tangle Patterns on SurfacesACM Transactions on Graphics10.1145/348790941:2(1-17)Online publication date: 30-Apr-2022
      • (2022)Binary Image Carving for 3D PrintingComputer-Aided Design10.1016/j.cad.2019.05.028114:C(191-201)Online publication date: 20-Apr-2022
      • (2020)Autocomplete Element FieldsProceedings of the 2020 CHI Conference on Human Factors in Computing Systems10.1145/3313831.3376248(1-13)Online publication date: 21-Apr-2020
      • (2018)gMotion: A Spatio-Temporal Grammar for the Procedural Generation of Motion GraphicsProceedings of the 44th Graphics Interface Conference10.20380/GI2018.14(100-107)Online publication date: 1-Jun-2018
      • (2017)Organized order in ornamentationProceedings of the symposium on Computational Aesthetics10.1145/3092912.3092913(1-9)Online publication date: 29-Jul-2017
      • (2016)Directional field synthesis, design, and processingProceedings of the 37th Annual Conference of the European Association for Computer Graphics: State of the Art Reports10.5555/3059330.3059332(545-572)Online publication date: 9-May-2016
      • (2016)Course notes rotational symmetries on surfacesSIGGRAPH ASIA 2016 Courses10.1145/2988458.2988502(1-13)Online publication date: 28-Nov-2016
      • (2016)Directional field synthesis, design, and processingSIGGRAPH ASIA 2016 Courses10.1145/2988458.2988478(1-30)Online publication date: 28-Nov-2016
      • (2016)gTangleACM Transactions on Graphics10.1145/2980179.298241735:6(1-11)Online publication date: 5-Dec-2016
      • (2016)Representing and scheduling procedural generation using operator graphsACM Transactions on Graphics10.1145/2980179.298022735:6(1-12)Online publication date: 5-Dec-2016
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