Relaxation labelling algorithms-a review
Image and Vision Computing
Probabilistic reasoning in intelligent systems: networks of plausible inference
Probabilistic reasoning in intelligent systems: networks of plausible inference
Fundamentals of digital image processing
Fundamentals of digital image processing
Trace Inference, Curvature Consistency, and Curve Detection
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Lectures on minimal surfaces: vol. 1
Lectures on minimal surfaces: vol. 1
Scale-Space and Edge Detection Using Anisotropic Diffusion
IEEE Transactions on Pattern Analysis and Machine Intelligence
Reinforcement of Linear Structure using Parametrized Relaxation Labeling
IEEE Transactions on Pattern Analysis and Machine Intelligence
Imaging vector fields using line integral convolution
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
Signal and image restoration using shock filters and anisotropic diffusion
SIAM Journal on Numerical Analysis
Inferring global perceptual contours from local features
International Journal of Computer Vision - Special issue on computer vision research at the University of Southern California
Minimal Surfaces Based Object Segmentation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Inference of Surfaces, 3D Curves, and Junctions from Sparse, Noisy, 3D Data
IEEE Transactions on Pattern Analysis and Machine Intelligence
The Dynamics of Nonlinear Relaxation Labeling Processes
Journal of Mathematical Imaging and Vision
International Journal of Computer Vision
IEEE Transactions on Pattern Analysis and Machine Intelligence
Images as Embedded Maps and Minimal Surfaces: Movies, Color, Texture, and Volumetric Medical Images
International Journal of Computer Vision - Special issue on computer vision research at the Technion
Geometry and Color in Natural Images
Journal of Mathematical Imaging and Vision
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part I
Isophotes: The Key to Tractable Local Shading Analysis
CAIP '95 Proceedings of the 6th International Conference on Computer Analysis of Images and Patterns
The Perceptual Organization of Texture Flow: A Contextual Inference Approach
IEEE Transactions on Pattern Analysis and Machine Intelligence
The perceptual organization of visual flows
The perceptual organization of visual flows
Computing and Visualization in Science
Hue geometry and horizontal connections
Neural Networks - 2004 Special issue Vision and brain
General purpose models: expectations about the unexpected
IJCAI'75 Proceedings of the 4th international joint conference on Artificial intelligence - Volume 1
A general framework for low level vision
IEEE Transactions on Image Processing
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Good continuation is the Gestalt observation that parts often group in particular ways to form coherent wholes. Perceptual integration of edges, for example, involves orientation good continuation, a property which has been exploited computationally very extensively. But more general local-global relationships, such as for shading or color, have been elusive. While Taylor's Theorem suggests certain modeling and smoothness criteria, the consideration of level set geometry indicates a different approach. Using such first principles we derive, for the first time, a generalization of good continuation to all those visual structures that can be abstracted as scalar functions over the image plane. Based on second order differential constraints that reflect good continuation, our analysis leads to a unique class of harmonic models and a cooperative algorithm for structure inference. Among the different applications of good continuation, here we apply these results to the denoising of shading and intensity distributions and demonstrate how our approach eliminates spurious measurements while preserving both singularities and regular structure, a property that facilitates higher level processes which depend so critically on both of these classes of visual structures.