Efficient anisotropic α-kernels decompositions and flows

Micha Feigin; Nir Sochen; Baba C. Vemuri

doi:10.1109/CVPRW.2008.4562982

Efficient anisotropic α-kernels decompositions and flows

Micha Feigin^*, Nir Sochen, Baba C. Vemuri

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Scopus citations

Abstract

The Laplacian raised to fractional powers can be used to generate scale spaces as was shown in recent literature. This was later extended for inhomogeneous diffusion processes and more general functions of the Laplacian and studied for the Perona-Malik case. In this paper we extend the results to the truly anisotropic Beltrami flow. We additionally introduce a technique for splitting up the work into smaller patches of the image which greatly reduce the computational complexity and allow for the parallelization of the algorithm. Important issues involved in the numerical implementation are discussed.

Original language	English
Title of host publication	2008 IEEE Computer Society Conference on Computer Vision and Pattern Recognition Workshops, CVPR Workshops
Publisher	IEEE Computer Society
ISBN (Print)	9781424423408
DOIs	https://doi.org/10.1109/CVPRW.2008.4562982
State	Published - 2008
Event	2008 IEEE Computer Society Conference on Computer Vision and Pattern Recognition Workshops, CVPR Workshops - Anchorage, AK, United States Duration: 23 Jun 2008 → 28 Jun 2008

Publication series

Name	2008 IEEE Computer Society Conference on Computer Vision and Pattern Recognition Workshops, CVPR Workshops

Conference

Conference	2008 IEEE Computer Society Conference on Computer Vision and Pattern Recognition Workshops, CVPR Workshops
Country/Territory	United States
City	Anchorage, AK
Period	23/06/08 → 28/06/08

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10.1109/CVPRW.2008.4562982

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Feigin, M., Sochen, N., & Vemuri, B. C. (2008). Efficient anisotropic α-kernels decompositions and flows. In 2008 IEEE Computer Society Conference on Computer Vision and Pattern Recognition Workshops, CVPR Workshops Article 4562982 (2008 IEEE Computer Society Conference on Computer Vision and Pattern Recognition Workshops, CVPR Workshops). IEEE Computer Society. https://doi.org/10.1109/CVPRW.2008.4562982

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abstract = "The Laplacian raised to fractional powers can be used to generate scale spaces as was shown in recent literature. This was later extended for inhomogeneous diffusion processes and more general functions of the Laplacian and studied for the Perona-Malik case. In this paper we extend the results to the truly anisotropic Beltrami flow. We additionally introduce a technique for splitting up the work into smaller patches of the image which greatly reduce the computational complexity and allow for the parallelization of the algorithm. Important issues involved in the numerical implementation are discussed.",

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Feigin, M, Sochen, N & Vemuri, BC 2008, Efficient anisotropic α-kernels decompositions and flows. in 2008 IEEE Computer Society Conference on Computer Vision and Pattern Recognition Workshops, CVPR Workshops., 4562982, 2008 IEEE Computer Society Conference on Computer Vision and Pattern Recognition Workshops, CVPR Workshops, IEEE Computer Society, 2008 IEEE Computer Society Conference on Computer Vision and Pattern Recognition Workshops, CVPR Workshops, Anchorage, AK, United States, 23/06/08. https://doi.org/10.1109/CVPRW.2008.4562982

Efficient anisotropic α-kernels decompositions and flows. / Feigin, Micha; Sochen, Nir; Vemuri, Baba C.
2008 IEEE Computer Society Conference on Computer Vision and Pattern Recognition Workshops, CVPR Workshops. IEEE Computer Society, 2008. 4562982 (2008 IEEE Computer Society Conference on Computer Vision and Pattern Recognition Workshops, CVPR Workshops).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Feigin M, Sochen N, Vemuri BC. Efficient anisotropic α-kernels decompositions and flows. In 2008 IEEE Computer Society Conference on Computer Vision and Pattern Recognition Workshops, CVPR Workshops. IEEE Computer Society. 2008. 4562982. (2008 IEEE Computer Society Conference on Computer Vision and Pattern Recognition Workshops, CVPR Workshops). doi: 10.1109/CVPRW.2008.4562982

Efficient anisotropic α-kernels decompositions and flows

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