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An Optimal Scale for Edge Detection

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dc.creator Geiger, Davi
dc.creator Poggio, Tomaso
dc.date 2004-10-04T15:13:04Z
dc.date 2004-10-04T15:13:04Z
dc.date 1988-09-01
dc.date.accessioned 2013-10-09T02:45:46Z
dc.date.available 2013-10-09T02:45:46Z
dc.date.issued 2013-10-09
dc.identifier AIM-1078
dc.identifier http://hdl.handle.net/1721.1/6499
dc.identifier.uri http://koha.mediu.edu.my:8181/xmlui/handle/1721
dc.description Many problems in early vision are ill posed. Edge detection is a typical example. This paper applies regularization techniques to the problem of edge detection. We derive an optimal filter for edge detection with a size controlled by the regularization parameter $\\ lambda $ and compare it to the Gaussian filter. A formula relating the signal-to-noise ratio to the parameter $\\lambda $ is derived from regularization analysis for the case of small values of $\\lambda$. We also discuss the method of Generalized Cross Validation for obtaining the optimal filter scale. Finally, we use our framework to explain two perceptual phenomena: coarsely quantized images becoming recognizable by either blurring or adding noise.
dc.format 2655175 bytes
dc.format 1034256 bytes
dc.format application/postscript
dc.format application/pdf
dc.language en_US
dc.relation AIM-1078
dc.title An Optimal Scale for Edge Detection


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