The DOI matches its Crossref record; 22 of the 22 references it cites were found in a registry or an index.
Fast anisotropic gauss filtering
Abstract
We derive the decomposition of the anisotropic Gaussian in a one-dimensional (1-D) Gauss filter in the x-direction followed by a 1-D filter in a nonorthogonal direction phi. 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. For the recursive implementation, filtering an 512 x 512 image is performed within 40 msec on a current state of the art PC, gaining over 3 times in performance for a typical filter, independent of the standard deviations and orientation of the filter. Accuracy of the filters is still reasonable when compared to truncation error or recursive approximation error. The anisotropic Gaussian filtering method allows fast calculation of edge and ridge maps, with high spatial and angular accuracy. For tracking applications, the normal anisotropic convolution scheme is more advantageous, with applications in the detection of dashed lines in engineering drawings. The recursive implementation is more attractive in feature detection applications, for instance in affine invariant edge and ridge detection in computer vision. The proposed computational filtering method enables the practical applicability of orientation scale-space analysis.
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Cites
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Cited by
Describing Textures in the Wild
Cimpoi, M., Maji, S., Kokkinos, I., Mohamed, S., & Vedaldi, A. (2014) · 2014 IEEE Conference on Computer Vision and Pattern Recognition · doi:10.1109/cvpr.2014.461 · Cited by 2,438
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A Cluster-then-label Semi-supervised Learning Approach for Pathology Image Classification
Peikari, M., Salama, S., Nofech-Mozes, S., & Martel, A. L. (2018) · Scientific Reports · doi:10.1038/s41598-018-24876-0 · Cited by 161
Miao, Y., Zakharov, Y. V., Sun, H., Li, J., & Wang, J. (2021) · IEEE Journal of Oceanic Engineering · doi:10.1109/joe.2020.3039037 · Cited by 77
Metadata
- Authors
- Geusebroek, J., Smeulders, A. W. M., & van de Weijer, J.
- Venue
- IEEE Transactions on Image Processing
- Published
- 2003-08
- Volume
- 12
- Issue
- 8
- Pages
- 938-943
- ISSN
- 1057-7149 (ISSN-L)
- OpenAlex
- W2165324514
- Cited by
- 331
- References
- 22
- FWCI
- 5.83
- Type
- journal article
- Language
- en
- Open access
- closed
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