素材

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voronoi relaxation

lloyd's method

voronoi remesh : Isotropic Remeshing with Fast and Exact Computation of Restricted Voronoi Diagram.pdf

shape Approximation: Medial Spheres for Shape Approximation

voronoi stippling:Weighted Voronoi Stippling

Centroidal Voronoi Tessellations:Applications and Algorithms∗

Fast Dynamic Voronoi Treemaps

Unified Particle Physics for Real-Time Applications.

MeVisLab

ITK VTK

3dmed

using bound biharmonic to drive hierarchical mesh or tetrahedron.

using vonoroi to extract a coarser mesh.

caged mesh: contract using original method, expand by inserting the tetrahedron between the gap.

combine hierarchical PBD with ARAP

let the target postion deformation energe be 0, adopt the deform gradient to calculate deformation energe.

seg3d

imagevis

meshmixer: for 3d printer

boundary element method

lloyds方法呢,是将cell里面的点(例如:三角形的点)移到cell的质心的点.那么packing的东西就可以分解为平移与旋转部分, 平移就可以通过lloyds方法来解决,那么旋转怎么解决呢?

mesh(欧氏空间)->球坐标(spherical space)->min|E-G|->invariant signature

14/11/2016

as conformal as possible 其实上是点与一阶领域是一个cluster

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