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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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interactive geometry remeshing
Interactive Geometry Remeshing

[Alliez et al., SIGGRAPH 2002]

Model

Measure curvature

Flatten it conformally

Density function in parameter space

remeshing1
Remeshing
  • Remeshing type can be adjusted to the application’s needs

original

uniform

adapted

semi-regular

interactive geometry remeshing1
Interactive Geometry Remeshing
  • Importance map created according to application needs

filtering

Area stretch

Importance map

filtering

Curvatures

interactive geometry remeshing2
Interactive Geometry Remeshing
  • Importance map is sampled by points – as in halftoning
interactive geometry remeshing3
Interactive Geometry Remeshing
  • Importance map is sampled by points – as in halftoning (error diffusion process)
interactive geometry remeshing4
Interactive Geometry Remeshing
  • Sampled points are triangulated using Delaunay
  • Using the parameterization, the 2D points are lifted back into 3D
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