Active polyhedron: surface evolution theory applied to deformable meshes

This paper presents a novel 3D deformable surface that we call an active polyhedron. Rooted in surface evolution theory, an active polyhedron is a polyhedral surface whose vertices deform to minimize a regional and/or boundary-based energy functional. Unlike continuous active surface models, the ver...

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Bibliographic Details
Published in2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05) Vol. 2; pp. 84 - 91 vol. 2
Main Authors Slabaugh, G., Unal, G.
Format Conference Proceeding
LanguageEnglish
Published IEEE 2005
Subjects
Acoustic noise
Active noise reduction
Deformable models
Electrostatics
Image reconstruction
Image segmentation
Noise robustness
Speckle
Surface reconstruction
Ultrasonic imaging
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Summary:This paper presents a novel 3D deformable surface that we call an active polyhedron. Rooted in surface evolution theory, an active polyhedron is a polyhedral surface whose vertices deform to minimize a regional and/or boundary-based energy functional. Unlike continuous active surface models, the vertex motion of an active polyhedron is computed by integrating speed terms over polygonal faces of the surface. The resulting ordinary differential equations (ODEs) provide improved robustness to noise and allow for larger time steps compared to continuous active surfaces implemented with level set methods. We describe an electrostatic regularization technique that achieves global regularization while better preserving sharper local features. Experimental results demonstrate the effectiveness of an active polyhedron in solving segmentation problems as well as surface reconstruction from unorganized points.
ISBN:0769523722
9780769523729
ISSN:1063-6919
1063-6919
DOI:10.1109/CVPR.2005.60