A Computational Approach to Edge Detection
IEEE Transactions on Pattern Analysis and Machine Intelligence
Integer and combinatorial optimization
Integer and combinatorial optimization
Trace Inference, Curvature Consistency, and Curve Detection
IEEE Transactions on Pattern Analysis and Machine Intelligence
Two stages of curve detection suggest two styles of visual computation
Neural Computation
Potentials, valleys, and dynamic global coverings
International Journal of Computer Vision
Direct Recovery of Three-Dimensional Scene Geometry From Binocular Stereo Disparity
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Stereo Vision Technique Using Curve-Segments and Relaxation Matching
IEEE Transactions on Pattern Analysis and Machine Intelligence
Qualitative surface shape from deformation of image curves
International Journal of Computer Vision
Qualitative surface shape from deformation of image curves
International Journal of Computer Vision
Three-dimensional computer vision: a geometric viewpoint
Three-dimensional computer vision: a geometric viewpoint
What can two images tell us about a third one?
International Journal of Computer Vision
Visual motion of curves and surfaces
Visual motion of curves and surfaces
ACM Computing Surveys (CSUR)
A Flexible New Technique for Camera Calibration
IEEE Transactions on Pattern Analysis and Machine Intelligence
The Geometry and Matching of Lines and Curves Over Multiple Views
International Journal of Computer Vision
Multiple view geometry in computer vision
Multiple view geometry in computer vision
New Measurements and Corner-Guidance for Curve Matching with Probabilistic Relaxation
International Journal of Computer Vision
A Taxonomy and Evaluation of Dense Two-Frame Stereo Correspondence Algorithms
International Journal of Computer Vision
Structural Matching in Computer Vision Using Probabilistic Relaxation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Logical/Linear Operators for Image Curves
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Cooperative Algorithm for Stereo Matching and Occlusion Detection
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Global Solution to Sparse Correspondence Problems
IEEE Transactions on Pattern Analysis and Machine Intelligence
Determining Three-Dimensional Shape from Orientation and Spatial Frequency Disparities
ECCV '92 Proceedings of the Second European Conference on Computer Vision
The Perceptual Organization of Texture Flow: A Contextual Inference Approach
IEEE Transactions on Pattern Analysis and Machine Intelligence
Advances in Computational Stereo
IEEE Transactions on Pattern Analysis and Machine Intelligence
Epipolar Geometry for Humanoid Robotic Heads
Cognitive Vision
Connection geometry, color, and stereo
CAIP'07 Proceedings of the 12th international conference on Computer analysis of images and patterns
Wide-baseline correspondence from locally affine invariant contour matching
ICIAR'11 Proceedings of the 8th international conference on Image analysis and recognition - Volume Part I
Differential geometric consistency extends stereo to curved surfaces
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part III
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Standard approaches to stereo correspondence have difficulty when scene structure does not lie in or near the frontal parallel plane, in part because an orientation disparity as well as a positional disparity is introduced. We propose a correspondence algorithm based on differential geometry, that takes explicit advantage of both disparities. The algorithm relates the 2D differential structure (position, tangent, and curvature) of curves in the left and right images to the Frenet approximation of the (3D) space curve. A compatibility function is defined via transport of the Frenet frames, and they are matched by relaxing this compatibility function on overlapping neighborhoods along the curve. The remaining false matches are concurrently eliminated by a model of "near" and "far" neurons derived from neurobiology. Examples on scenes with complex 3D structures are provided.