Singularity Theory and Phantom Edges in Scale Space
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Three-Module Strategy for Edge Detection
IEEE Transactions on Pattern Analysis and Machine Intelligence
Behavior of Edges in Scale Space
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Multiscanning Approach Based on Morphological Filtering
IEEE Transactions on Pattern Analysis and Machine Intelligence
Pattern Spectrum and Multiscale Shape Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Image Representation by Sign Information
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Hitherto Unnoticed Singularity of Scale-Space
IEEE Transactions on Pattern Analysis and Machine Intelligence
Scale-Space and Edge Detection Using Anisotropic Diffusion
IEEE Transactions on Pattern Analysis and Machine Intelligence
Scaling Theorems for Zero-Crossings
IEEE Transactions on Pattern Analysis and Machine Intelligence
Extensions of Scale-Space Filtering to Machine-Sensing Systems
IEEE Transactions on Pattern Analysis and Machine Intelligence
Generalized E-filter and Its Application to Edge Detection
IEEE Transactions on Pattern Analysis and Machine Intelligence
Robust Contour Decomposition Using a Constant Curvature Criterion
IEEE Transactions on Pattern Analysis and Machine Intelligence
Shape Representation by Multiscale Contour Approximation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Adaptive Smoothing: A General Tool for Early Vision
IEEE Transactions on Pattern Analysis and Machine Intelligence
Directional Analysis of Images in Scale Space
IEEE Transactions on Pattern Analysis and Machine Intelligence
Characterization of Signals from Multiscale Edges
IEEE Transactions on Pattern Analysis and Machine Intelligence
Scale-Based Detection of Corners of Planar Curves
IEEE Transactions on Pattern Analysis and Machine Intelligence
Reasoning About Edges in Scale Space
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Theory of Multiscale, Curvature-Based Shape Representation for Planar Curves
IEEE Transactions on Pattern Analysis and Machine Intelligence
Constrained Regularized Differentiation
IEEE Transactions on Pattern Analysis and Machine Intelligence
On the Edge Location Error for Local Maximum and Zero-Crossing Edge Detectors
IEEE Transactions on Pattern Analysis and Machine Intelligence
Area and Length Preserving Geometric Invariant Scale-Spaces
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
Scaling Theorems for Zero Crossings of Bandlimited Signals
IEEE Transactions on Pattern Analysis and Machine Intelligence
Iterative Smoothed Residuals: A Low-Pass Filter for Smoothing With Controlled Shrinkage
IEEE Transactions on Pattern Analysis and Machine Intelligence
Scale-Space Properties of Quadratic Feature Detectors
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Transform for Multiscale Image Segmentation by Integrated Edge and Region Detection
IEEE Transactions on Pattern Analysis and Machine Intelligence
Scale-Space Using Mathematical Morphology
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Subdivision Scheme for Continuous-Scale B-Splinesand Affine-Invariant Progressive Smoothing
Journal of Mathematical Imaging and Vision
Learning Qualitative Models of Dynamic Systems
Machine Learning - special issue on inductive logic programming
Affine Morphological Multiscale Analysis of Corners andMultiple Junctions
International Journal of Computer Vision
Migration Processes I: The Continuous Case
Journal of Mathematical Imaging and Vision
Differential and Integral Geometry of Linear Scale-Spaces
Journal of Mathematical Imaging and Vision
Feature Detection with Automatic Scale Selection
International Journal of Computer Vision
Edge Detection and Ridge Detection with Automatic Scale Selection
International Journal of Computer Vision
Orientation Space Filtering for Multiple Orientation Line Segmentation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Clustering by Scale-Space Filtering
IEEE Transactions on Pattern Analysis and Machine Intelligence
On Computing Structural Changes in Evolving Surfaces and their Appearance
International Journal of Computer Vision
On the Recognition and Location of Partially Occluded Objects
Journal of Intelligent and Robotic Systems
Invariant Representation and Matching of Space Curves
Journal of Intelligent and Robotic Systems
Linear Scale-Space has First been Proposed in Japan
Journal of Mathematical Imaging and Vision
A Dynamic Scale–Space Paradigm
Journal of Mathematical Imaging and Vision
Detection, Localization, and Estimation of Edges
IEEE Transactions on Pattern Analysis and Machine Intelligence
The L/sub 2/-Polynomial Spline Pyramid
IEEE Transactions on Pattern Analysis and Machine Intelligence
Effective Scale: A Natural Unit for Measuring Scale-Space Lifetime
IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Transactions on Pattern Analysis and Machine Intelligence
Stability of Phase Information
IEEE Transactions on Pattern Analysis and Machine Intelligence
Bar Code Waveform Recognition Using Peak Locations
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Syntactic Approach to Scale-Space-Based Corner Description
IEEE Transactions on Pattern Analysis and Machine Intelligence
An Extended Class of Scale-Invariant and Recursive Scale Space Filters
IEEE Transactions on Pattern Analysis and Machine Intelligence
On Critical Point Detection of Digital Shapes
IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Transactions on Pattern Analysis and Machine Intelligence
Multivariate Saddle Point Detection for Statistical Clustering
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part III
Scale Space Range Image Aspect Graph
SCALE-SPACE '99 Proceedings of the Second International Conference on Scale-Space Theories in Computer Vision
Color image segmentation based on edge-preservation smoothing and soft C-means clustering
Machine Graphics & Vision International Journal - Special issue on latest results in colour image processing and applications
Estimating adaptive kernels from local image grey value changes
ICIP '95 Proceedings of the 1995 International Conference on Image Processing (Vol.2)-Volume 2 - Volume 2
Smart Nonlinear Diffusion: A Probabilistic Approach
IEEE Transactions on Pattern Analysis and Machine Intelligence
The Monogenic Scale-Space: A Unifying Approach to Phase-Based Image Processing in Scale-Space
Journal of Mathematical Imaging and Vision
Lucas/Kanade meets Horn/Schunck: combining local and global optic flow methods
International Journal of Computer Vision
Computer Vision and Image Understanding
Scale-space based feature point detection for digital ink
ACM SIGGRAPH 2006 Courses
Image and Vision Computing
Multiscale representation for automatic identification of structures in medical images
Computers in Biology and Medicine
Scale-space based feature point detection for digital ink
ACM SIGGRAPH 2007 courses
Fast frequency estimation by zero crossings of differential spline wavelet transform
EURASIP Journal on Applied Signal Processing
Foundations and Trends® in Computer Graphics and Vision
Detection and characterization of physiological states in bioprocesses based on Hölder exponent
Knowledge-Based Systems
A Mathematical Operator for Automatic and Real Time Analysis of Sequences of Vascular Images
MDA '08 Proceedings of the 3rd international conference on Advances in Mass Data Analysis of Images and Signals in Medicine, Biotechnology, Chemistry and Food Industry
Macro-informatics of cognition and its application for design
Advanced Engineering Informatics
SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision
Computer Vision and Image Understanding
Empirical analysis of blood plasma LIBS images using different nonlinear diffusion techniques
SIP '07 Proceedings of the Ninth IASTED International Conference on Signal and Image Processing
Multi-edge detection by isotropical 2-D ISEF cascade
Pattern Recognition
Temporal structure tree in digital linear scale space
Scale Space'03 Proceedings of the 4th international conference on Scale space methods in computer vision
On the number of modes of a Gaussian mixture
Scale Space'03 Proceedings of the 4th international conference on Scale space methods in computer vision
Piecewise approximation of contours through scale-space selection of dominant points
IEEE Transactions on Image Processing
On the convergence of planar curves under smoothing
IEEE Transactions on Image Processing
Perception-motivated interpolation of image sequences
ACM Transactions on Applied Perception (TAP)
Review article: Edge and line oriented contour detection: State of the art
Image and Vision Computing
Oriented filters for object recognition: an empirical study
FGR' 04 Proceedings of the Sixth IEEE international conference on Automatic face and gesture recognition
Journal of Mathematical Imaging and Vision
Automation of hessian-based tubularity measure response function in 3D biomedical images
Journal of Biomedical Imaging - Special issue on modern mathematics in biomedical imaging
Edge-based compression of cartoon-like images with homogeneous diffusion
Pattern Recognition
Multiscale extension of the gravitational approach to edge detection
CAEPIA'11 Proceedings of the 14th international conference on Advances in artificial intelligence: spanish association for artificial intelligence
Image scale-space from the heat kernel
CIARP'05 Proceedings of the 10th Iberoamerican Congress conference on Progress in Pattern Recognition, Image Analysis and Applications
CIARP'05 Proceedings of the 10th Iberoamerican Congress conference on Progress in Pattern Recognition, Image Analysis and Applications
Tree-Based tracking of temporal image
GbRPR'05 Proceedings of the 5th IAPR international conference on Graph-Based Representations in Pattern Recognition
Combinatorial properties of scale space singular points
IWCIA'06 Proceedings of the 11th international conference on Combinatorial Image Analysis
Towards plenoptic raumzeit reconstruction
Proceedings of the 2010 international conference on Video Processing and Computational Video
Add isotropic Gaussian kernels at own risk: more and more resilient modes in higher dimensions
Proceedings of the twenty-eighth annual symposium on Computational geometry
Multiscale edge detection based on Gaussian smoothing and edge tracking
Knowledge-Based Systems
Full length article: Singular integrals, scale-space and wavelet transforms
Journal of Approximation Theory
| Hi-index | 0.15 |
We characterize some properties of the zero crossings of the Laplacian of signals驴in particular images驴filtered with linear filters, as a function of the scale of the filter (extending recent work by Witkin [16]). We prove that in any dimension the only filter that does not create generic zero crossings as the scale increases is the Gaussian. This result can be generalized to apply to level crossings of any linear differential operator: it applies in particular to ridges and ravines in the image intensity. In the case of the second derivative along the gradient, there is no filter that avoids creation of zero crossings, unless the filtering is performed after the derivative is applied.