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Curvature Regularization for Curves and Surfaces in a Global Optimization Framework

Strandmark, Petter LU and Kahl, Fredrik LU (2011) 8th International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition (EMMCVPR), 2011 In Lecture Notes in Computer Science
Abstract
Length and area regularization are commonplace for inverse problems today. It has however turned out to be much more difficult to incorporate a curvature prior. In this paper we propose several improvements to a recently proposed framework based on global optimization. We identify and solve an issue with extraneous arcs in the original formulation by introducing region consistency constraints. The mesh geometry is analyzed both from a theoretical and experimental viewpoint and hexagonal meshes are shown to be superior. We demonstrate that adaptively generated meshes significantly improve the performance. Our final contribution is that we generalize the framework to handle mean curvature regularization for 3D surface completion and... (More)
Length and area regularization are commonplace for inverse problems today. It has however turned out to be much more difficult to incorporate a curvature prior. In this paper we propose several improvements to a recently proposed framework based on global optimization. We identify and solve an issue with extraneous arcs in the original formulation by introducing region consistency constraints. The mesh geometry is analyzed both from a theoretical and experimental viewpoint and hexagonal meshes are shown to be superior. We demonstrate that adaptively generated meshes significantly improve the performance. Our final contribution is that we generalize the framework to handle mean curvature regularization for 3D surface completion and segmentation. (Less)
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organization
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Chapter in Book/Report/Conference proceeding
publication status
in press
subject
in
Lecture Notes in Computer Science
publisher
Springer
conference name
8th International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition (EMMCVPR), 2011
language
English
LU publication?
yes
id
9c45a964-63eb-4731-aa6f-9562523a9e17 (old id 1966791)
alternative location
http://www.maths.lth.se/vision/publdb/reports/pdf/strandmark-kahl-e-11.pdf
date added to LUP
2011-06-01 17:24:16
date last changed
2016-04-16 08:12:22
@misc{9c45a964-63eb-4731-aa6f-9562523a9e17,
  abstract     = {Length and area regularization are commonplace for inverse problems today. It has however turned out to be much more difficult to incorporate a curvature prior. In this paper we propose several improvements to a recently proposed framework based on global optimization. We identify and solve an issue with extraneous arcs in the original formulation by introducing region consistency constraints. The mesh geometry is analyzed both from a theoretical and experimental viewpoint and hexagonal meshes are shown to be superior. We demonstrate that adaptively generated meshes significantly improve the performance. Our final contribution is that we generalize the framework to handle mean curvature regularization for 3D surface completion and segmentation.},
  author       = {Strandmark, Petter and Kahl, Fredrik},
  language     = {eng},
  publisher    = {ARRAY(0xb0ee148)},
  series       = {Lecture Notes in Computer Science},
  title        = {Curvature Regularization for Curves and Surfaces in a Global Optimization Framework},
  year         = {2011},
}