Simulating the Grassfire Transform Using an Active Contour Model
IEEE Transactions on Pattern Analysis and Machine Intelligence
International Journal of Computer Vision
Markov random field modeling in computer vision
Markov random field modeling in computer vision
Region Competition: Unifying Snakes, Region Growing, and Bayes/MDL for Multiband Image Segmentation
IEEE Transactions on Pattern Analysis and Machine Intelligence
FORMS: a flexible object recognition and modeling system
International Journal of Computer Vision
Prior Learning and Gibbs Reaction-Diffusion
IEEE Transactions on Pattern Analysis and Machine Intelligence
Embedding Gestalt Laws in Markov Random Fields
IEEE Transactions on Pattern Analysis and Machine Intelligence
Stochastic Computation of Medial Axis in Markov Random Fields
CVPR '98 Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition
Representation and Self-Similarity of Shapes
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
Local Symmetries of Shapes in Arbitrary Dimension
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
Hyperbolic "Smoothing" of Shapes
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
Affine Invariant Medial Axis and Skew Symmetry
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
Embedding Gestalt Laws in Markov Random Fields
IEEE Transactions on Pattern Analysis and Machine Intelligence
Hierarchical Decomposition of Multiscale Skeletons
IEEE Transactions on Pattern Analysis and Machine Intelligence
Piecewise Linear Skeletonization Using Principal Curves
IEEE Transactions on Pattern Analysis and Machine Intelligence
Stable and Robust Vectorization: How to Make the Right Choices
GREC '99 Selected Papers from the Third International Workshop on Graphics Recognition, Recent Advances
Scale-Space '01 Proceedings of the Third International Conference on Scale-Space and Morphology in Computer Vision
Symmetry Maps of Free-Form Curve Segments via Wave Propagation
International Journal of Computer Vision - Special Issue on Computational Vision at Brown University
Gray skeletons and segmentation of shapes
Computer Vision and Image Understanding
Efficient Shape Modeling: ⋮-Entropy, Adaptive Coding, and Boundary Curves -vs- Blum's Medial Axis
International Journal of Computer Vision
Kernel PCA for similarity invariant shape recognition
Neurocomputing
Segmentation of color images via reversible jump MCMC sampling
Image and Vision Computing
Gray skeletons and segmentation of shapes
Computer Vision and Image Understanding
An Approach to the Parameterization of Structure for Fast Categorization
International Journal of Computer Vision
Geodesic Methods in Computer Vision and Graphics
Foundations and Trends® in Computer Graphics and Vision
Scale-Space'05 Proceedings of the 5th international conference on Scale Space and PDE Methods in Computer Vision
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This paper proposes a statistical framework for computing medial axes of 2D shapes. In this paper, the computation of medial axes is posed as a statistical inference problem not as a mathematical transform. This paper contributes to three aspects in computing medial axes. 1) Prior knowledge is adopted for axes and junctions so that axes around junctions are regularized. 2) Multiple interpretations of axes are possible, each being assigned a probability. 3) A novel stochastic jump-diffusion process is proposed for estimating both axes and junctions in Markov random fields. We argue that the stochastic algorithm for computing medial axes is compatible with existing algorithms for image segmentation, such as region growing [31], snake [7], and region competition [26]. Thus, our method provides a new direction for computing medial axes from texture images.Experiments are demonstrated on both synthetic and real 2D shapes. This algorithm has been successfully applied to shape learning and sampling in a companion paper [30].