Kinematic Reeb Graph Extraction Based on Heat Diffusion
Résumé
This paper presents a new approach of Reeb graph extraction adapted to 3D dynamic triangular Meshes. Particularly, we propose a new continuous scalar function, used for Reeb graph construction. This function is based on the heat diffusion properties. The restriction of the heat kernel to temporal domain makes the scalar function intrinsic and stable against perturbations. Due to the presence of neighborhood information in the heat kernel associated to each vertex, the proposed Reeb Graph extraction can be extremely useful as local shape descriptor for non-rigid shape retrieval. Experiments show that the proposed structural analysis technique achieves high accuracy and stability under topology changes and various perturbations through time.
Mots clés
computer graphics
graph theory
3D dynamic triangular meshes
Reeb graph construction
continuous scalar function
heat kernel restriction
kinematic Reeb graph extraction
local shape descriptor
neighborhood information
nonrigid shape retrieval
structural analysis technique
temporal domain
Accuracy
Feature extraction
Heating
Kernel
Kinematics
Shape
Three-dimensional displays
3D dynamic meshes
Heat diffusion
Heat kernel
Reeb graph