Optimum edge detection filter
Edge detection and enhancement are required in a number of important image processing applications. In this paper we consider the problem of optimizing spatial frequency domain filters for detecting a class of edges in images. The filter is optimum in that it produces maximum energy in the vicinity...
Saved in:
| Published in | Applied optics (2004) Vol. 16; no. 1; p. 145 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
United States
01.01.1977
|
| Online Access | Get more information |
Cover
Loading…
| Summary: | Edge detection and enhancement are required in a number of important image processing applications. In this paper we consider the problem of optimizing spatial frequency domain filters for detecting a class of edges in images. The filter is optimum in that it produces maximum energy in the vicinity of the location of the edge for a given spatial resolution I and the bandwidth ?. We show that the filter transfer function can be specified in terms of the prolate spheroidal wavefunctions for a given space-bandwidth product I?. Further we show that for values of I? less than 2, the optimal filter represents the Laplacian operator in image space followed by a low pass filter with a cutoff frequency ?. |
|---|---|
| ISSN: | 1559-128X |
| DOI: | 10.1364/AO.16.000145 |