Triangulation of uniform particle systems: its application to the implicit surface texturing F. Levet, X. Granier, C. Schlick IPARLA Project (INRIA futurs,

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Presentation transcript:

Triangulation of uniform particle systems: its application to the implicit surface texturing F. Levet, X. Granier, C. Schlick IPARLA Project (INRIA futurs, LaBRI) University of Bordeaux 1 - FRANCE

Outline of the presentation  Presentation of particle systems  Mesh creation from uniform particles Triangulation Tesselation  Texturation  Results

A particle-based system  Witkin and Heckbert [94]  Sampling Split/death criterion Particles migration Adaptive repulsion Uniform distribution

Some improvements  Isotropic sampling With an energy function  Crossno and Angel [97]  Rosh et al. [97]  Meyer et al. [05] With repulsion forces  Turk [91]  Pauly et al. [02]  Levet et al. [05]  Galin et al [06] Uniform case Non-uniform case Each one but slower Anisotropic sampling BlobTree

Triangulation of the particles  Crossno et Angel, SpiralingEdge [99] Uniform and non-uniform Result  very complex algorithm Lots of special cases  Adapted triangulation to the uniform case

An adapted triangulation  Distance between neighboring particles Near 2r (r the repulsion radius)

An adapted triangulation  Approach Gather the particles (with a 3r distance) Polygonize them as a ring p p 1 p 2 p 3 p 4 p 5 p 0

An adapted triangulation  Approach Gather the particles (with a 3r distance) Polygonize them as a ring

An adapted triangulation  Results Intersections between triangles

An adapted triangulation  Results Intersections between triangles Three bad configurations

Results  Quasi-equilateral triangles  Very fast # particlesTriangulation time# triangles

Triangle tesselation  Triangulation of the particules Minimization of the deformations  Few particules Subdivision of the obtained triangles  Projection

Texturation with particle systems  Turk [92] Expensive for high frequency details  Pedersen [95] Defines a set of patches Complex to avoid deformation  Zonenschein [97, 98] Particles follow the gradient field Not robust with high-order genus surfaces

Texturation  Neyret et Cani [99] 1. Original mesh

 Neyret et Cani [99] 1. Original mesh 2. Simplified mesh Texturation

 Neyret et Cani [99] 1. Original mesh 2. Simplified mesh 3. Texturation support Texturation

 Neyret et Cani [99] 1. Original mesh 2. Simplified mesh 3. Texturation support 4. Local parametrization Texturation

 Neyret et Cani [99] 1. Original mesh 2. Simplified mesh 3. Texturation support 4. Local parametrization Texturation

 Neyret et Cani [99] 1. Original mesh 2. Simplified mesh 3. Texturation support 4. Local parametrization Texturation

 Triangles : Texture mesh  Subdivision : parametrization Texturation

Results

Conclusion  Fast triangulation of uniform particles  On-the-fly mesh refinement  2D pattern-based texturing of immplicit surfaces

Future works  Texturing of huge scanned objects  Curvature informations  Local edition of the particle system