Demi M, 2001, "A pair of on-centre and off-centre filters derived from the first absolute central moment" Perception 30 ECVP Abstract Supplement
A pair of on-centre and off-centre filters derived from the first absolute central moment
The first absolute central moment can be divided into two complementary filters: the positive deviation ep and the negative deviation en. Both ep and en can be used separately to enhance edges, lines, line endings, corners, and junctions in images of the real world. Moreover, a ridge map similar to the ridge map provided by the magnitude of a standard GoG filter is obtained by subtracting the output of en from the output of ep. The sum of the two outputs instead gives rise to the same map which is obtained by convolving the image with a standard DoG filter. Furthermore, when generalised, ep and en give rise to a class of nonlinear filters and the recovered edge information can be usefully combined to obtain information that would not be obtained by varying the parameters of the original filters. The architectures of ep and en and their responses to luminous stimuli recall the separation of the ganglion cells into on-centre and off-centre cells. Finally, the mass centres bi of ep and en can be also defined, and the edges present in the images can be easily localised by iteratively computing bi.
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ECVP 2001 Abstract Supplement (complete) size: 1517 Kb