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  Mesh Segmentation Driven by Gaussian Curvature

Yamauchi, H., Gumhold, S., Zayer, R., & Seidel, H.-P. (2005). Mesh Segmentation Driven by Gaussian Curvature. The Visual Computer, 21, 649-658.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-270A-F Version Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-270B-D
Genre: Journal Article

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v4617777klj4qj45.pdf (Publisher version), 636KB
 
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 Creators:
Yamauchi, Hitoshi1, Author           
Gumhold, Stefan1, Author           
Zayer, Rhaleb1, Author           
Seidel, Hans-Peter1, Author           
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1Computer Graphics, MPI for Informatics, Max Planck Society, ou_40047              

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 Abstract: Mesh parameterization is a fundamental problem in computer graphics as it allows for texture mapping and facilitates a lot of mesh processing tasks. Although there exists a variety of good parameterization methods for meshes that are topologically equivalent to a disc, the segmentation into nicely parameterizable charts of higher genus meshes has been studied less. In this paper we propose a new segmentation method for the generation of charts that can be flattened efficiently. The integrated Gaussian curvature is used to measure the developability of a chart and a robust and simple scheme is proposed to integrate the Gaussian curvature. The segmentation approach evenly distributes Gaussian curvature over the charts and automatically ensures disc-like topology of each chart. For numerical stability, we use area on the Gauss map to represent Gaussian curvature. Resulting parameterization shows that charts generated in this way have less distortion compared to charts generated by other methods.

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Language(s): eng - English
 Dates: 2006-01-172005
 Publication Status: Issued
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 Rev. Type: Peer
 Identifiers: eDoc: 278962
Other: Local-ID: C125675300671F7B-CE914B4A765CDD20C125709D0053CAFE-YamauchiMSDGC2005
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Title: The Visual Computer
Source Genre: Journal
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Pages: - Volume / Issue: 21 Sequence Number: - Start / End Page: 649 - 658 Identifier: ISSN: 0178-2789