A Computational Approach to Edge Detection
IEEE Transactions on Pattern Analysis and Machine Intelligence
Use of the Hough transformation to detect lines and curves in pictures
Communications of the ACM
Digital Image Processing
Extended wedgelets: geometrical wavelets in efficient image coding
Machine Graphics & Vision International Journal
Custom-Built Moments for Edge Location
IEEE Transactions on Pattern Analysis and Machine Intelligence
Moments-Based Fast Wedgelet Transform
Journal of Mathematical Imaging and Vision
Edge detection by sliding wedgelets
ICIAR'11 Proceedings of the 8th international conference on Image analysis and recognition - Volume Part I
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In the paper the multiscale geometrical noise resistant method of edge detection based on second order wedgelets has been presented. Unlike the other known methods the proposed one can detect arc edges as segments of second degree curves instead of a set of straight lines. Such curve edges are parameterized by only one additional parameter reflecting the curvature of the edge. That approach allows for more compact representation of edges in an image also better reflecting the image geometry than the other well known methods. Thanks to that the new method can be used as the first step in high performance object recognition techniques. The experiments confirmed high effectiveness of the method in edge detection including noisy images.