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Application of Angle-Preserving Parameterization: Remeshing

Application of Angle-Preserving Parameterization: Remeshing. Remeshing. Interactive Geometry Remeshing. [ Alliez et al., SIGGRAPH 2002]. Model. Measure curvature. Flatten it conformally. Density function in parameter space. Remeshing.

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Application of Angle-Preserving Parameterization: Remeshing

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  1. Application of Angle-Preserving Parameterization: Remeshing

  2. Remeshing

  3. Interactive Geometry Remeshing [Alliez et al., SIGGRAPH 2002] Model Measure curvature Flatten it conformally Density function in parameter space

  4. Remeshing • Remeshing type can be adjusted to the application’s needs original uniform adapted semi-regular

  5. Remeshing Examples

  6. Interactive Geometry Remeshing • Importance map created according to application needs filtering Area stretch Importance map filtering Curvatures

  7. Interactive Geometry Remeshing • Importance map is sampled by points – as in halftoning

  8. Interactive Geometry Remeshing • Importance map is sampled by points – as in halftoning (error diffusion process)

  9. Interactive Geometry Remeshing • Sampled points are triangulated using Delaunay • Using the parameterization, the 2D points are lifted back into 3D

  10. Interactive Geometry Remeshing

  11. Interactive Geometry Remeshing • More results

  12. Thank You

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