Higher-Order Feature-Preserving Geometric Regularization

13 years 2 months ago

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We introduce two fourth-order regularization methods that remove geometric noise without destroying signiﬁcant geometric features. These methods leverage ideas from image denoising and simpliﬁcation of high contrast images in which piecewise aﬃne functions are preserved up to inﬁnitesimally small transition zones. We combine the regularization techniques with active contour models and apply them to segmentation of polygonal objects in aerial images. To avoid loss of features during the computation of the external driving forces we use total-variation based inverse scale-space techniques on the input data. Furthermore, we use the models for feature-preserving removal of geometric texture on surfaces.

Marc Droske, Andrea Bertozzi

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