Title
Harmonic 1-form based skeleton extraction from examples
Abstract
This paper presents a method to extract skeletons using examples. Our method is based on the observation that many deformations in real-world applications are isometric or near isometric. By taking advantage of the intrinsic property of harmonic 1-form, i.e., it is determined by the metric and independent of the resolution and embedding, our method can easily find a consistent mapping between the reference and example poses which can be in different resolutions and triangulations. We first construct the skeleton-like Reeb graph of a harmonic function defined on the given poses. Then by examining the changes of mean curvatures, we identify the initial locations of joints. Finally we refine the joint locations by solving a constrained optimization problem. We demonstrate the efficacy of the proposed framework by pose space deformation, skeleton transfer, shape segmentation and pose-invariant shape signature.
Year
DOI
Venue
2009
10.1016/j.gmod.2008.12.008
Graphical Models
Keywords
Field
DocType
initial location,consistent mapping,shape segmentation,harmonic 1-form,pose-invariant shape signature,harmonic function,deformation transfer,near isometric,different resolution,intrinsic property,skeleton extraction,joint location,mean curvature
Topology,Mathematical optimization,Harmonic function,Embedding,Curvature,Segmentation,Computational geometry,Triangulation (social science),Mathematics,Constrained optimization,Reeb graph
Journal
Volume
Issue
ISSN
71
2
Graphical Models
Citations 
PageRank 
References 
9
0.47
45
Authors
3
Name
Order
Citations
PageRank
Ying He11264105.35
Xian Xiao21087.50
Hock-Soon Seah3936.11