Title
An Eulerian approach for constructing a map between surfaces with different topologies.
Abstract
3D objects of the same kind often have different topologies, and finding correspondence between them is important for operations such as morphing, attribute transfer, and shape matching. This paper presents a novel method to find the surface correspondence between topologically different surfaces. The method is characterized by deforming the source polygonal mesh to match the target mesh by using the intermediate implicit surfaces, and by performing a topological surgery at the appropriate locations on the mesh. In particular, we propose a mathematically well-defined way to detect the topology change of surface by finding the non-degenerate saddle points of the velocity fields that tracks implicit surfaces. We show the effectiveness and possible applications of the proposed method through several experiments.
Year
DOI
Venue
2016
10.1111/cgf.12999
Comput. Graph. Forum
Field
DocType
Volume
Topology,Computer vision,Morphing,Polygon,Saddle point,Computer science,Algorithm,Theoretical computer science,Network topology,Eulerian path,Artificial intelligence,Polygonal modeling
Journal
35
Issue
ISSN
Citations 
7
0167-7055
0
PageRank 
References 
Authors
0.34
26
4
Name
Order
Citations
PageRank
Hangil Park160.79
Youngjin Cho212911.14
Seungbae Bang3283.42
Sung-Hee Lee433424.19