Journal ArticleDOI
Edge Location to Subpixel Values in Digital Imagery
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TLDR
It is shown that the edge location is related to the so-called ``Christoffel numbers'' and is compared with Sobel and Hueckel edge detectors in presence and absence of noise.Abstract:
A new method for locating edges in digital data to subpixel values and which is invariant to additive and multiplicative changes in the data is presented For one-dimensional edge patterns an ideal edge is fit to the data by matching moments It is shown that the edge location is related to the so-called ``Christoffel numbers'' Also presented is the study of the effect of additive noise on edge location The method is extended to include two-dimensional edge patterns where a line equation is derived to locate an edge This in turn is compared with the standard Hueckel edge operator An application of the new edge operator as an edge detector is also provided and is compared with Sobel and Hueckel edge detectors in presence and absence of noiseread more
Citations
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Edge Detection Techniques-An Overview
Djemel Ziou,Salvatore Tabbone +1 more
TL;DR: An overview of research in edge detection is proposed: edge definition, properties of detectors, the methodology of edge detection, the mutual influence between edges and detectors, and existing edge detectors and their implementation.
Journal ArticleDOI
Moment-preserving thresolding: A new approach
TL;DR: Experimental results show that the new approach to automatic threshold selection using the moment-preserving principle can be employed to threshold a given picture into meaningful gray-level classes.
Book
Moment-preserving thresholding: a new approach
TL;DR: Experimental results show that the new approach to automatic threshold selection using the moment-preserving principle can be employed to threshold a given picture into meaningful gray-level classes.
Journal ArticleDOI
Shape recovery algorithms using level sets in 2-D/3-D medical imagery: a state-of-the-art review
TL;DR: This paper is an attempt to explore these geometric methods, their implementations and integration of regularizers to improve the robustness of these topologically independent propagating curves/surfaces in medical image segmentation.
Journal ArticleDOI
Subpixel measurements using a moment-based edge operator
TL;DR: In this paper, an edge operator based on two-dimensional spatial moments is presented, which can be implemented for virtually any size of window and has been shown to locate edges in digitized images to a twentieth of a pixel.
References
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Journal ArticleDOI
Pattern Classification and Scene Analysis.
Dissertation
Machine perception of three-dimensional solids,
TL;DR: Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering, 1963.
Journal ArticleDOI
A survey of edge detection techniques
TL;DR: Methods of detecting “edges,” i.e., boundaries between regions in a picture, are reviewed and both parallel and sequential methods are reviewed.
Journal ArticleDOI
Image Compression Using Block Truncation Coding
Edward J. Delp,O. Mitchell +1 more
TL;DR: In this paper, a new technique for image compression called block truncation coding (BTC) is presented and compared with transform and other techniques, which uses a two-level (one-bit) nonparametric quantizer that adapts to local properties of the image.