An Eulerian Approach for Constructing a Map Between Surfaces With Different Topologies
No Thumbnail Available
Date
2016
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association and John Wiley & Sons Ltd.
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.
Description
@article{10.1111:cgf.12999,
journal = {Computer Graphics Forum},
title = {{An Eulerian Approach for Constructing a Map Between Surfaces With Different Topologies}},
author = {Park, Hangil and Cho, Youngjin and Bang, Seungbae and Lee, Sung-Hee},
year = {2016},
publisher = {The Eurographics Association and John Wiley & Sons Ltd.},
ISSN = {1467-8659},
DOI = {10.1111/cgf.12999}
}