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Curvature Regularization for Curves and Surfaces in a Global Optimization Framework

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Author

  • Petter Strandmark
  • Fredrik Kahl

Summary, in English

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.

Publishing year

2011

Language

English

Publication/Series

Lecture Notes in Computer Science

Document type

Conference paper

Publisher

Springer

Topic

  • Mathematics
  • Computer Vision and Robotics (Autonomous Systems)

Conference name

8th International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition (EMMCVPR), 2011

Conference date

2011-07-25 - 2011-07-27

Conference place

Saint Petersburg, Russian Federation

Status

Inpress

Research group

  • Mathematical Imaging Group