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Fast multi-scale regularization and segmentation of hyperspectral imagery via anisotropic diffusion and Algebraic Multigrid solvers

Publication ,  Journal Article
Duarte-Carvajalino, JM; Sapiro, G; Vélez-Reyes, M; Castillo, P
Published in: Proceedings of SPIE - The International Society for Optical Engineering
November 15, 2007

This paper presents an algorithm that generates a scale-space representation of hyperspectral imagery using Algebraic Multigrid (AMG) solvers. The scale-space representation is obtained by solving with AMG a vector-valued anisotropic diffusion equation, with the hyperspectral image as its initial condition. AMG also provides the necessary structure to obtain a hierarchical segmentation of the image. The scale space representation of the hyperspectral image can be segmented in linear time complexity. Results in the paper show that improved segmentation is achieved. The proposed methodology to solve vector PDEs can be used to extend a number of techniques currently being developed for the fast computation of geometric PDEs and its application for the processing of hyperspectral and multispectral imagery.

Duke Scholars

Published In

Proceedings of SPIE - The International Society for Optical Engineering

DOI

ISSN

0277-786X

Publication Date

November 15, 2007

Volume

6565

Related Subject Headings

  • 5102 Atomic, molecular and optical physics
  • 4009 Electronics, sensors and digital hardware
  • 4006 Communications engineering
 

Citation

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Duarte-Carvajalino, J. M., Sapiro, G., Vélez-Reyes, M., & Castillo, P. (2007). Fast multi-scale regularization and segmentation of hyperspectral imagery via anisotropic diffusion and Algebraic Multigrid solvers. Proceedings of SPIE - The International Society for Optical Engineering, 6565. https://doi.org/10.1117/12.721036
Duarte-Carvajalino, J. M., G. Sapiro, M. Vélez-Reyes, and P. Castillo. “Fast multi-scale regularization and segmentation of hyperspectral imagery via anisotropic diffusion and Algebraic Multigrid solvers.” Proceedings of SPIE - The International Society for Optical Engineering 6565 (November 15, 2007). https://doi.org/10.1117/12.721036.
Duarte-Carvajalino JM, Sapiro G, Vélez-Reyes M, Castillo P. Fast multi-scale regularization and segmentation of hyperspectral imagery via anisotropic diffusion and Algebraic Multigrid solvers. Proceedings of SPIE - The International Society for Optical Engineering. 2007 Nov 15;6565.
Duarte-Carvajalino, J. M., et al. “Fast multi-scale regularization and segmentation of hyperspectral imagery via anisotropic diffusion and Algebraic Multigrid solvers.” Proceedings of SPIE - The International Society for Optical Engineering, vol. 6565, Nov. 2007. Scopus, doi:10.1117/12.721036.
Duarte-Carvajalino JM, Sapiro G, Vélez-Reyes M, Castillo P. Fast multi-scale regularization and segmentation of hyperspectral imagery via anisotropic diffusion and Algebraic Multigrid solvers. Proceedings of SPIE - The International Society for Optical Engineering. 2007 Nov 15;6565.

Published In

Proceedings of SPIE - The International Society for Optical Engineering

DOI

ISSN

0277-786X

Publication Date

November 15, 2007

Volume

6565

Related Subject Headings

  • 5102 Atomic, molecular and optical physics
  • 4009 Electronics, sensors and digital hardware
  • 4006 Communications engineering