Fast numerical methods for total variation minimization in image reconstruction

Curtis R. Vogel; Mary E. Oman

doi:10.1117/12.211412

7 June 1995 Fast numerical methods for total variation minimization in image reconstruction

Curtis R. Vogel, Mary E. Oman

Proceedings Volume 2563, Advanced Signal Processing Algorithms; (1995) https://doi.org/10.1117/12.211412
Event: SPIE's 1995 International Symposium on Optical Science, Engineering, and Instrumentation, 1995, San Diego, CA, United States

Abstract

We apply a total variation minimization technique for the deblurring of 2D images. This yields an integro-differential equation with a nonlinear elliptic partial differential operator. In this paper we discuss a numerical scheme for the efficient solution of this integro-differential equation. Results are presented for a doconvolusion problem arising in ground-based astronomical imaging.

Citation Download Citation

Curtis R. Vogel and Mary E. Oman "Fast numerical methods for total variation minimization in image reconstruction", Proc. SPIE 2563, Advanced Signal Processing Algorithms, (7 June 1995); https://doi.org/10.1117/12.211412

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