A Computational Approach to Edge Detection
IEEE Transactions on Pattern Analysis and Machine Intelligence
Subpixel Measurements Using a Moment-Based Edge Operator
IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Transactions on Pattern Analysis and Machine Intelligence
A moment-based unified approach to image feature detection
IEEE Transactions on Image Processing
Image analysis by Tchebichef moments
IEEE Transactions on Image Processing
JBEAM: multiscale curve coding via beamlets
IEEE Transactions on Image Processing
Geometrical Multiscale Noise Resistant Method of Edge Detection
ICIAR '08 Proceedings of the 5th international conference on Image Analysis and Recognition
ICISP'10 Proceedings of the 4th international conference on Image and signal processing
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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We present a general construction of functions whose moments serve to locate and parametrize step edges within an image. Previous use of moments to locate edges was limited to functions supported on a circular region, but our method allows the use of "custom-designed” functions supported on circles, rectangles, or any desired shape, and with graphs whose shape may be chosen with great freedom. We present analyses of the sensitivity of our method to pixelization errors or discrepancy between the image and an idealized edge model. The parametric edge description yielded by our method makes it especially suitable as a component of wedgelet image coding.