Proceedings Article10.1109/ICCV.1990.139493
Multiple widths yield reliable finite differences
Margaret M. Fleck
- 04 Dec 1990
- pp 58-61
34
TL;DR: It is shown, both theoretically and empirically, that this method out-performs traditional Gaussian smoothing, and chooses the narrowest response with statistically reliable sign.
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Abstract: Many edge finders extract the signs of finite differences of image intensity values. Camera noise renders many of these signs unreliable. Previous algorithms for reducing noise are difficult to analyze, fail to detect faint or closely packed features, or handle restricted classes of features. The author proposes taking finite differences with a range of separations between data points, and choosing the narrowest response with statistically reliable sign. Fine detail is then detected by narrow operators. Faint features are filled in by wide operators, which can more reliably distinguish low-amplitude boundaries from noise. It is shown, both theoretically and empirically, that this method out-performs traditional Gaussian smoothing. Measurements of noise in a real camera system are also presented. >
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Multiple widths yield reliable finite differences
Margaret M. Fleck
- 04 Dec 1990
TL;DR: It is shown, both theoretically and empirically, that this method out-performs traditional Gaussian smoothing, and chooses the narrowest response with statistically reliable sign.
34
References
A Computational Approach to Edge Detection
TL;DR: There is a natural uncertainty principle between detection and localization performance, which are the two main goals, and with this principle a single operator shape is derived which is optimal at any scale.
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Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images
Stuart Geman,Donald Geman +1 more
TL;DR: The analogy between images and statistical mechanics systems is made and the analogous operation under the posterior distribution yields the maximum a posteriori (MAP) estimate of the image given the degraded observations, creating a highly parallel ``relaxation'' algorithm for MAP estimation.
Digital Step Edges from Zero Crossing of Second Directional Derivatives
TL;DR: The facet model is used to accomplish step edge detection and the Marr-Hildreth zero crossing of the Laplacian operator is found that it is the best performer; next is the Prewitt gradient operator.
A theory of the primitive spatial code in human vision.
Roger Watt,Michael J. Morgan +1 more
TL;DR: MIRAGE, a theory for the primitive coding of the (1D) spatial distribution of luminance changes by the human visual system is developed from a theoretical examination of the practical problems associated with the characterization of such changes.
363
A nonlinear edge detection technique
A. Rosenfeld
- 01 May 1970
TL;DR: Using a product of differences of averages taken over pairs of adjacent nonoverlapping neighborhoods tends to yield sharply localized edges.
125