Scale and the differential structure of images
Image and Vision Computing - Special issue: information processing in medical imaging 1991
Use of the Hough transformation to detect lines and curves in pictures
Communications of the ACM
Scale-Space Theory in Computer Vision
Scale-Space Theory in Computer Vision
An efficient randomized algorithm for detecting circles
Computer Vision and Image Understanding
Object Recognition from Local Scale-Invariant Features
ICCV '99 Proceedings of the International Conference on Computer Vision-Volume 2 - Volume 2
Digital Image Processing: PIKS Scientific Inside
Digital Image Processing: PIKS Scientific Inside
IJCAI'83 Proceedings of the Eighth international joint conference on Artificial intelligence - Volume 2
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A scale-space algorithm for estimating the local curvature of lines (edges or isolines) is presented. Two variants of edge curvature estimation based on differential invariants are suggested and compared. The first variant uses the edge curvature formula derived in the paper and the second is based on image preprocessing, which allows one to use the isoline curvature formula for edge curvature estimation. An analysis of scale selection needed to reach a desired accuracy is presented. Also, noise influence analysis has been performed. The application of curvature estimation to detection of straight lines and circles is suggested and implemented. Curvature information usage in parametric curve detection speeds up search algorithms and makes the results more stable.