A Computational Approach to Edge Detection
IEEE Transactions on Pattern Analysis and Machine Intelligence
Numerical recipes in C (2nd ed.): the art of scientific computing
Numerical recipes in C (2nd ed.): the art of scientific computing
Fundamental Limitations on Projective Invariants of Planar Curves
IEEE Transactions on Pattern Analysis and Machine Intelligence
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
Extracting Meaningful Curves from Images
Journal of Mathematical Imaging and Vision
Statistics and Analysis of Shapes (Modeling and Simulation in Science, Engineering and Technology)
Statistics and Analysis of Shapes (Modeling and Simulation in Science, Engineering and Technology)
Image Analysis and Mathematical Morphology
Image Analysis and Mathematical Morphology
A Theory of Shape Identification
A Theory of Shape Identification
3D Edge Detection by Selection of Level Surface Patches
Journal of Mathematical Imaging and Vision
From Gestalt Theory to Image Analysis: A Probabilistic Approach
From Gestalt Theory to Image Analysis: A Probabilistic Approach
ASIFT: A New Framework for Fully Affine Invariant Image Comparison
SIAM Journal on Imaging Sciences
A Statistical Approach to the Matching of Local Features
SIAM Journal on Imaging Sciences
Morphological Shape Context: Semi-locality and Robust Matching in Shape Recognition
CIARP '09 Proceedings of the 14th Iberoamerican Conference on Pattern Recognition: Progress in Pattern Recognition, Image Analysis, Computer Vision, and Applications
LSD: A Fast Line Segment Detector with a False Detection Control
IEEE Transactions on Pattern Analysis and Machine Intelligence
A decision step for shape context matching
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
Geometric Description of Images as Topographic Maps
Geometric Description of Images as Topographic Maps
Affine plane curve evolution: a fully consistent scheme
IEEE Transactions on Image Processing
Fast computation of a contrast-invariant image representation
IEEE Transactions on Image Processing
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Mathematical Morphology proposes to extract shapes from images as connected components of level sets. These methods prove very suitable for shape recognition and analysis. We present a method to select the perceptually significant (i.e., contrasted) level lines (boundaries of level sets), using the Helmholtz principle as first proposed by Desolneux et al. Contrarily to the classical formulation by Desolneux et al. where level lines must be entirely salient, the proposed method allows to detect partially salient level lines, thus resulting in more robust and more stable detections. We then tackle the problem of combining two gestalts as a measure of saliency and propose a method that reinforces detections. Results in natural images show the good performance of the proposed methods.