3D shape representation by contours
Computer Vision, Graphics, and Image Processing
On minimal energy trajectories
Computer Vision, Graphics, and Image Processing
Similarity-invariant signatures for partially occluded planar shapes
International Journal of Computer Vision
Minimum curvature variation curves, networks, and surfaces for fair free-form shape design
Minimum curvature variation curves, networks, and surfaces for fair free-form shape design
Existence of free nonclosed Euler-Bernoulli elastica
Nonlinear Analysis: Theory, Methods & Applications
Extracting Salient Curves from Images: An Analysis of the Saliency Network
International Journal of Computer Vision
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
IEEE Transactions on Pattern Analysis and Machine Intelligence
Perceptual Organization for Artificial Vision Systems
Perceptual Organization for Artificial Vision Systems
Similarity and Affine Invariant Distances Between 2D Point Sets
IEEE Transactions on Pattern Analysis and Machine Intelligence
Regularized Laplacian Zero Crossings as Optimal Edge Integrators
International Journal of Computer Vision
DCGA '96 Proceedings of the 6th International Workshop on Discrete Geometry for Computer Imagery
Sketches with Curvature: The Curve Indicator Random Field and Markov Processes
IEEE Transactions on Pattern Analysis and Machine Intelligence
Euler Spiral for Shape Completion
International Journal of Computer Vision - Special Issue on Computational Vision at Brown University
On Smoothness Measures of Active Contours and Surfaces
VLSM '01 Proceedings of the IEEE Workshop on Variational and Level Set Methods (VLSM'01)
Consistency and stability of active contours with Euclidean and non-Euclidean arc lengths
IEEE Transactions on Image Processing
Disocclusion: a variational approach using level lines
IEEE Transactions on Image Processing
New Possibilities with Sobolev Active Contours
International Journal of Computer Vision
New possibilities with Sobolev active contours
SSVM'07 Proceedings of the 1st international conference on Scale space and variational methods in computer vision
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After introducing the basic principles behind the similarity-invariant smoothness measures for curves and surfaces, with references to the relevant literature, we discuss the ramifications of scale-invariance in various problems of image processing and analysis, and point out some unanswered questions.