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Fast Anisotropic Gauss Filtering (2002)  (Make Corrections)  (1080 citations)
J. Geusebroek, Arnold Smeulders, Joost van de Weijer
ECCV (1)



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Abstract: We derive the decomposition of the anisotropic Gaussian in a one dimensional Gauss filter in the x-direction followed by a one dimensional lter in a non-orthogonal direction '. So also the anisotropic Gaussian can be decomposed by dimension. This appears to be extremely efficient from a computing perspective. An implementation scheme for normal convolution and for recursive filtering is proposed. Also directed derivative filters are demonstrated. (Update)

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BibTeX entry:   (Update)

J. Canny, "A computational approach to edge detection, " IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 8, pp. 679--698, 1986. 18 Weber and Malik http://citeseer.ist.psu.edu/geusebroek02fast.html   More

@inproceedings{ geusebroek02fast,
    author = "Jan-Mark Geusebroek and Arnold W. M. Smeulders and J. van de Weijer",
    title = "Fast Anisotropic Gauss Filtering",
    booktitle = "{ECCV} (1)",
    pages = "99-112",
    year = "2002",
    url = "citeseer.ist.psu.edu/geusebroek02fast.html" }
Citations (may not include all citations):
1080   A computational approach to edge detection - Canny - 1986
262   Scale-Space Theory in Computer Vision - Lindeberg - 1994
190   The structure of images (context) - Koenderink - 1984
73   Edge detection and ridge detection with automatic scale sele.. - Lindeberg - 1996
44   Steerable-scalable kernels for edge detection and junction a.. - Perona - 1992
44   Fast algorithms for low-level vision - Deriche - 1990
44   Distributed Representation and Analysis of Visual Motion - Simoncelli - 1993
31   Direct computation of shape cues using scale-adapted spatial.. - arding, Lindeberg - 1996
24   An unbiased detector of curvilinear structures - Steger - 1998
16   Multidimensional orientation estimation with applications to.. (context) - Big, Granlund et al. - 1991
13   Geometry-Driven Di usion in Computer Vision (context) - Haar, editor - 1994
10   Receptive eld families (context) - Koenderink, van Doorn - 1990
10   The design and use of steerable lters (context) - Freeman, Adelson - 1991
9   A minimum cost approach for segmenting networks of lines - Geusebroek, Smeulders et al. - 2001
7   Fingerprint enhancement by shape adaptation of scale-space o.. - Almansa, Lindeberg - 2000
7   Probability distributions of optical ow (context) - Simoncelli, Adelson et al. - 1991
7   Invertible orientation bundles on 2d scalar images (context) - Kalitzin, Haar et al. - 1997
3   Recursive implementation of the Gaussian lter (context) - Young, van Vliet - 1995
3   Improved orientation selectivity for orientation estimation - van Ginkel, Verbeek et al. - 1997
2   Recursive Gaussian derivative lters (context) - van Vliet, Young et al. - 1998
1   Critical point events in ane scale space (context) - Grin - 1997
1   of images. Image and Vision Comput (context) - Florack, Haar et al. - 1992
1   Separable recursive ltering for ecient multi-scale edge dete.. (context) - Deriche - 1987
1   Vision Image Understanding (context) - Jonk, van den Boomgaard et al.



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