Uniqueness of the Gaussian Kernel for Scale-Space Filtering
IEEE Transactions on Pattern Analysis and Machine Intelligence
Computer Vision, Graphics, and Image Processing
Hierarchical Shape Description Via the Multiresolution Symmetric Axis Transform
IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Transactions on Pattern Analysis and Machine Intelligence
The Intensity Axis of Symmetry and Its Application to Image Segmentation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Scaling Theorems for Zero-Crossings
Scaling Theorems for Zero-Crossings
Smoothed Local Symmetries and Their Implementation
Smoothed Local Symmetries and Their Implementation
Finding Edges and Lines in Images
Finding Edges and Lines in Images
The multiresolution intensity axis of symmetry and its application to image segmentation
The multiresolution intensity axis of symmetry and its application to image segmentation
Relaxation Methods for Supervised Image Segmentation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Hierarchical volume analysis and visualization based on morphological operators
Proceedings of the conference on Visualization '98
Evaluation of Methods for Ridge and Valley Detection
IEEE Transactions on Pattern Analysis and Machine Intelligence
Edge Detection and Ridge Detection with Automatic Scale Selection
International Journal of Computer Vision
The Intensity Axis of Symmetry and Its Application to Image Segmentation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Recognizing marbling in dry-cured Iberian ham by multiscale analysis
Pattern Recognition Letters
Shape Models and Object Recognition
Shape, Contour and Grouping in Computer Vision
Efficient Image Segmentation Based on Wavelet and Watersheds for Video Objects Extraction
IEA/AIE '02 Proceedings of the 15th international conference on Industrial and engineering applications of artificial intelligence and expert systems: developments in applied artificial intelligence
Parallel Multiresolution Image Segmentation with Watershed Transformation
ParNum '99 Proceedings of the 4th International ACPC Conference Including Special Tracks on Parallel Numerics and Parallel Computing in Image Processing, Video Processing, and Multimedia: Parallel Computation
Topographic Feature Identification Based on Triangular Meshes
CAIP '01 Proceedings of the 9th International Conference on Computer Analysis of Images and Patterns
Creaseness Measures for CT and MR Image Registration
CVPR '98 Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition
Perceptual Scale-Space and Its Applications
International Journal of Computer Vision
Computation of the third-order partial derivatives from a digital elevation model
International Journal of Geographical Information Science
n-Dimensional Distribution Reduction Preserving its Structure
Proceedings of the 2006 conference on Artificial Intelligence Research and Development
Analysis of three-dimensional protein images
Journal of Artificial Intelligence Research
Image segmentation using iterative watersheding plus ridge detection
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
Parameter estimation for ridge detection in images with thin structures
CIARP'10 Proceedings of the 15th Iberoamerican congress conference on Progress in pattern recognition, image analysis, computer vision, and applications
Anisotropy creases delineate white matter structure in diffusion tensor MRI
MICCAI'06 Proceedings of the 9th international conference on Medical Image Computing and Computer-Assisted Intervention - Volume Part I
Multi-scale midline extraction using creaseness
ICAPR'05 Proceedings of the Third international conference on Pattern Recognition and Image Analysis - Volume Part II
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Two methods for identifying and analyzing the multiresolution behavior of ridges and valleys in grey-scale images are described. The first method uses the tools of differential geometry to focus on local image behavior. The resulting vertex curves mark the tops of ridges and bottoms of valleys in an image. The second method focuses on the global drainage patterns of rainfall on a terrain map. The resulting watershed boundaries also identify the tops of ridges and bottoms of valleys in an image. By following these two geometric representations through scale space, the authors build resolution hierarchies on ridges and valleys in the image that can be utilized for interactive image segmentation.