Adaptive Rest Condition Potentials: Second Order Edge-Preserving Regularization

Authors:
Mariano Rivera;José L. Marroquín
Affiliations:
-;-
Venue:
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part I
Year:
2002

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Abstract

The propose of this paper is to introduce a new regularization formulation for inverse problems in computer vision and image processing that allows one to reconstruct second order piece-wise smooth images, that is, images consisting of an assembly of regions with almost constant value, almost constant slope or almost constant curvature. This formulation is based on the idea of using potential functions that correspond to springs or thin plates with an adaptive rest condition. Efficient algorithms for computing the solution, and examples illustrating the performance of this scheme, compared with other known regularization schemes are presented as well.