Pattern Spectrum and Multiscale Shape Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Nonlinear total variation based noise removal algorithms
Proceedings of the eleventh annual international conference of the Center for Nonlinear Studies on Experimental mathematics : computational issues in nonlinear science: computational issues in nonlinear science
Feature Detection with Automatic Scale Selection
International Journal of Computer Vision
Topographic Maps and Local Contrast Changes in Natural Images
International Journal of Computer Vision
Edge Detection by Helmholtz Principle
Journal of Mathematical Imaging and Vision
On Generalized Entropies and Scale-Space
SCALE-SPACE '97 Proceedings of the First International Conference on Scale-Space Theory in Computer Vision
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
SIAM Journal on Numerical Analysis
Geometric Description of Images as Topographic Maps
Geometric Description of Images as Topographic Maps
Fast computation of a contrast-invariant image representation
IEEE Transactions on Image Processing
Resolution- Independent Characteristic Scale Dedicated to Satellite Images
IEEE Transactions on Image Processing
Flat zones filtering, connected operators, and filters by reconstruction
IEEE Transactions on Image Processing
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This paper addresses the problem of defining a scale measure for digital images, that is, the problem of assigning a meaningful scale information to each pixel. We propose a method relying on the set of level lines of an image, the so-called topographic map. We make use of the hierarchical structure of level lines to associate a level line to each pixel, enabling the computation of local scales. This computation is made under the assumption that blur is constant over the image, and therefore adapted to the case of satellite images. We then investigate the link between the proposed definition of local scale and recent methods relying on total variation diffusion. Eventually, we perform various experiments illustrating the spatial accuracy of the proposed approach.