Scaling Theorems for Zero Crossings
IEEE Transactions on Pattern Analysis and Machine Intelligence
Uniqueness of the Gaussian Kernel for Scale-Space Filtering
IEEE Transactions on Pattern Analysis and Machine Intelligence
Scale-Based Description and Recognition of Planar Curves and Two-Dimensional Shapes
IEEE Transactions on Pattern Analysis and Machine Intelligence
Introduction to mathematical morphology
Computer Vision, Graphics, and Image Processing
Image Analysis and Mathematical Morphology
Image Analysis and Mathematical Morphology
Pattern Spectrum and Multiscale Shape Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
The Geometry of Basis Sets for Morphologic Closing
IEEE Transactions on Pattern Analysis and Machine Intelligence
Some Sequential Algorithms for a Generalized Distance Transformation Based on Minkowski Operations
IEEE Transactions on Pattern Analysis and Machine Intelligence
Scale-Space Properties of the Multiscale Morphological Dilation-Erosion
IEEE Transactions on Pattern Analysis and Machine Intelligence
Scale-Space From Nonlinear Filters
IEEE Transactions on Pattern Analysis and Machine Intelligence
Multiscale Nonlinear Decomposition: The Sieve Decomposition Theorem
IEEE Transactions on Pattern Analysis and Machine Intelligence
Scale-Space Using Mathematical Morphology
IEEE Transactions on Pattern Analysis and Machine Intelligence
A General Framework for Geometry-Driven Evolution Equations
International Journal of Computer Vision
A Subdivision Scheme for Continuous-Scale B-Splinesand Affine-Invariant Progressive Smoothing
Journal of Mathematical Imaging and Vision
Optimal Local Weighted Averaging Methods in Contour Smoothing
IEEE Transactions on Pattern Analysis and Machine Intelligence
On the Scale-Space Theorem of Chen and Yan
IEEE Transactions on Pattern Analysis and Machine Intelligence
An edge preserving noise smoothing technique using multiscale morphology
Signal Processing
IEEE Transactions on Pattern Analysis and Machine Intelligence
Openings Can Introduce Zero Crossings in Boundary Curvature
IEEE Transactions on Pattern Analysis and Machine Intelligence
The Morphological Structure of Images: The Differential Equations of Morphological Scale-Space
IEEE Transactions on Pattern Analysis and Machine Intelligence
Image Manipulation Using M-filters in a Pyramidal Computer Model
IEEE Transactions on Pattern Analysis and Machine Intelligence
Fractal Analysis of Bone Images
MMBIA '96 Proceedings of the 1996 Workshop on Mathematical Methods in Biomedical Image Analysis (MMBIA '96)
Comparison of Multiscale Representations for a Linking-Based Image Segmentation Model
MMBIA '96 Proceedings of the 1996 Workshop on Mathematical Methods in Biomedical Image Analysis (MMBIA '96)
A multiscale elastic registration scheme for retinal angiograms
Computer Vision and Image Understanding
Object-Based Image Analysis Using Multiscale Connectivity
IEEE Transactions on Pattern Analysis and Machine Intelligence
Improving the accuracy of isotropic granulometries
Pattern Recognition Letters
2D Euclidean distance transform algorithms: A comparative survey
ACM Computing Surveys (CSUR)
Local invariant feature detectors: a survey
Foundations and Trends® in Computer Graphics and Vision
Fast segmentation of bone in CT images using 3D adaptive thresholding
Computers in Biology and Medicine
Feature migration in morphological scale space
ICASSP'93 Proceedings of the 1993 IEEE international conference on Acoustics, speech, and signal processing: digital speech processing - Volume III
Toggle and top-hat based morphological contrast operators
Computers and Electrical Engineering
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It is argued that the mathematical morphology method seems to be more reasonable and powerful in studying certain multiscaling vision problems than the approach that uses derivatives of Gaussian-shaped filters of different sizes. To show the validity of this method, the authors concentrated on an application that involves forming scale-space image of a 2-D shape using morphological opening filtering. A proof is given to show that morphological opening filtering has a property of not introducing additional zero-crossings as one moves to a coarser scale. This is a different result from the conclusion by A.L. Yuille and T.A. Poggio that the Gaussian filter is the only filter with this property. In addition, opening filtering is computationaly simpler than the Gaussian filter.