Scaling Theorems for Zero Crossings
IEEE Transactions on Pattern Analysis and Machine Intelligence
Representation of local geometry in the visual system
Biological Cybernetics
Extensions of Scale-Space Filtering to Machine-Sensing Systems
IEEE Transactions on Pattern Analysis and Machine Intelligence
Generic Neighborhood Operators
IEEE Transactions on Pattern Analysis and Machine Intelligence
Differential and Integral Geometry of Linear Scale-Spaces
Journal of Mathematical Imaging and Vision
The Topological Structure of Scale-Space Images
Journal of Mathematical Imaging and Vision
A Dynamic Scale–Space Paradigm
Journal of Mathematical Imaging and Vision
Journal of Mathematical Imaging and Vision
Understanding and Modeling the Evolution of Critical Points under Gaussian Blurring
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part I
Calculations on Critical Points under Gaussian Blurring
SCALE-SPACE '99 Proceedings of the Second International Conference on Scale-Space Theories in Computer Vision
Using Catastrophe Theory to Derive Trees from Images
Journal of Mathematical Imaging and Vision
The Monogenic Scale Space on a Rectangular Domain and its Features
International Journal of Computer Vision
Exploring and exploiting the structure of saddle points in Gaussian scale space
Computer Vision and Image Understanding
Transitions of a Multi-scale Image Hierarchy Tree
SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision
The monogenic scale space on a bounded domain and its applications
Scale Space'03 Proceedings of the 4th international conference on Scale space methods in computer vision
Combining different types of scale space interest points using canonical sets
SSVM'07 Proceedings of the 1st international conference on Scale space and variational methods in computer vision
Towards a new paradigm for motion extraction
ICIAR'06 Proceedings of the Third international conference on Image Analysis and Recognition - Volume Part I
Optic flow from multi-scale dynamic anchor point attributes
ICIAR'06 Proceedings of the Third international conference on Image Analysis and Recognition - Volume Part I
Deep structure from a geometric point of view
DSSCV'05 Proceedings of the First international conference on Deep Structure, Singularities, and Computer Vision
DSSCV'05 Proceedings of the First international conference on Deep Structure, Singularities, and Computer Vision
| Hi-index | 0.15 |
A hitherto unnoticed singularity of scale space occurs only at isolated points in scale space. Thus it does not generically occur for single images, but it can occur occasionally in members of time sequences (say). It occurs at those critical points of the image at which the Laplacean of the illuminance vanishes (a nongeneric condition). The structure of scale space in an infinitesimal neighborhood of such a singularity is explored. The effect of the singularity of mappings between copies of an image at different levels of resolution is evaluated and checked with a numerical calculation.