Geometric Modeling

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We focus on the following problems in geometric modeling that are at the core of many problems in Graphics, CAD, scientific analysis and engineering designs.

 

circle23_blue.gif Reconstruction

A Curve Reconstruction

  

 

     Conservative crust

NN-crust

     Gathan

  

A reconsturcted curve in 3D with NN-crust

  

 

B Surface Reconstruction

B1. Surface from point cloud

 

 

Reconstructed club

Reconstructed mannequin

Reconstructed foot

B2. Surface from slices

Human heart

  Human pelvis

Boundary Reconstruction

circle23_blue.gif  Mesh simplication and sample decimation

 

red12_next.gif

 Mesh simplication

  

Decimation of samples at different levels 

circle23_blue.gif  Mesh Generation

A. Polyhedra meshing

B. Smooth surface meshing

 

C. Isosurface meshing

D. Piecewise smooth complexes

circle23_blue.gif Homology features

A Handle and tunnel loops

B Shortest homology basis and Optimal homologous cycles

circle23_blue.gif Shape features

A Medial axis

 

B Curve Skeleton

C Normal and feature approximation

D Dimension detection

 

E Shape segmentation and matching

E1. Shape matching

E2. Persistent HKS Matching

 *If you need more information, please contact Prof. Tamal K. Dey