Mesh Snapping: Robust Interactive Mesh Cutting Using Fast Geodesic Curvature Flow

This paper considers the problem of interactively finding the cutting contour to extract components from a given mesh. Some existing methods support cuts of arbitrary shape but require careful and tedious input from the user. Others need little user input however they are sensitive to user input and...

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Vydáno v:Computer graphics forum Ročník 29; číslo 2; s. 517 - 526
Hlavní autoři: Zhang, Juyong, Wu, Chunlin, Cai, Jianfei, Zheng, Jianmin, Tai, Xue-cheng
Médium: Journal Article
Jazyk:angličtina
Vydáno: Oxford, UK Blackwell Publishing Ltd 01.05.2010
Témata:
Algorithms
and systems
Computer graphics
Curvature
Customization
Cutting
Cutting speed
Cutting tools
I.3.5 [Computer Graphics]: Computational Geometry and Object Modeling-Geometric algorithms
I.3.5 [Computer Graphics]: Computational Geometry and Object Modeling—Geometric algorithms, languages, and systems
Image processing systems
languages
Mathematical analysis
Segmentation
Shape
Three dimensional
ISSN:0167-7055, 1467-8659
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Shrnutí:This paper considers the problem of interactively finding the cutting contour to extract components from a given mesh. Some existing methods support cuts of arbitrary shape but require careful and tedious input from the user. Others need little user input however they are sensitive to user input and need a postprocessing step to smooth the generated jaggy cutting contours. The popular geometric snake can be used to optimize the cutting contour, but it cannot deal with the topology change. In this paper, we propose a geodesic curvature flow based framework to overcome all these problems. Since in many cases the meaningful cutting contour on a 3D mesh is locally shortest in the sense of some weighted curve length, the geodesic curvature flow is an ideal tool for our problem. It evolves the cutting contour to the nearby local minimum. We should mention that the previous numerical scheme, discretized geodesic curvature flow (dGCF) is too slow and has not been applied to mesh segmentation. With a careful observation to dGCF, we devise here a fast computation scheme called fast geodesic curvature flow (FGCF), which only needs to solve a smaller and easier problem. The initial cutting contour is generated by a variant of random walks algorithm, which is very fast and gives reasonable cutting result with little user input. Experiment results on the benchmark mesh segmentation data set show that our proposed framework is robust to user input and capable of producing good results reflecting geometric features and human shape perception.
Bibliografie:istex:C77C541CF95A36141B4FE5FB7C5E054F9E691EFF
ArticleID:CGF1621
ark:/67375/WNG-HHLTHGK9-Z
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ISSN:0167-7055
1467-8659
DOI:10.1111/j.1467-8659.2009.01621.x