Title
Higher-Order Feature-Preserving Geometric Regularization
Abstract
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.
Year
DOI
Venue
2010
10.1137/090751694
SIAM J. Imaging Sciences
Keywords
Field
DocType
fourth-order regularization method,regularization technique,higher-order feature-preserving geometric regularization,affine function,geometric noise,geometric texture,significant geometric feature,external driving force,methods leverage idea,active contour model,aerial image,higher order,shape optimization,total variation,transition zone,differential geometry,segmentation,image processing,scale space
Active contour model,Affine transformation,Mathematical optimization,Polygon,Segmentation,Image processing,Regularization (mathematics),Mathematics,Piecewise,Computation
Journal
Volume
Issue
ISSN
3
1
1936-4954
Citations 
PageRank 
References 
4
0.43
24
Authors
2
Name
Order
Citations
PageRank
Marc Droske119412.12
Andrea Bertozzi211112.77