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Abstract: We propose a new strategy to design recursive implementations of the Gaussian filter and Gaussian regularized derivative filters. Each recursive filter consists of a cascade of two stable N -order subsystems (causal and anti-causal). The computational complexity is 2N multiplications per pixel per dimension independent of the size (s) of the Gaussian kernel. The filter coefficients have a closed-form solution as a function of scale (s) and recursion order N (N=3,4,5). The recursive filters... (Update)
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...4.1. 3 Recursive filters Di#erent recursive implementations of Gaussian filters have been proposed by Deriche [5] and by Vliet, Young and Verbeek [13]. To maintain shift invariance (or zero phase) the filter is implemented as a cascade of forward and backward di#erence...
.... derivatives can be computed very e#ciently because the kernels are separable, and highly accurate and e#cient recursive approximations exist [127]. Unfortunately, this is not generally true of rotated derivatives (Equation 3.3) Gaussian G 0 First derivative G Second derivative...
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BibTeX entry: (Update)
L. J. van Vliet, I. T. Young, and P. W. Ver- beek. Recursive Gaussian derivative filters. In Proc. lth International Conference on Pattern Recognition (ICPR'98), volume 1, pages 509514. IEEE Computer Society Press, Aug. 1998. http://citeseer.ist.psu.edu/vanvliet98recursive.html More
@misc{ vliet98recursive,
author = "L. van Vliet and I. Young and P. beek",
title = "Recursive Gaussian derivative filters",
text = "L. J. van Vliet, I. T. Young, and P. Verbeek. Recursive Gaussian derivative
filters. In Proc. l4th International Conference on Pattern Recognition (ICPR'98),
volume 1, pages 509-514. IEEE Computer Society Press, Aug. 1998.",
year = "1998",
url = "citeseer.ist.psu.edu/vanvliet98recursive.html" }
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4 Separable recursive filtering for efficient multi--scale edg.. (context) - Deriche - 1987
1 the localization error of curved edges in low-pass filtered .. (context) - Verbeek, van Vliet - 1994
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