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- Curtis R. Vogel, Mary E. Oman
- SIAM J. Scientific Computing
- 1996

Total Variation (TV) methods are very eeective for recovering \blocky", possibly discontinuous, images from noisy data. A xed point algorithm for minimizing a TV-penalized least squares functional isâ€¦ (More)

This paper presents an abstract analysis of bounded variation (BV) methods for ill-posed operator equations Au = z. Let T(u) def = kAu ? zk 2 + J(u); where the penalty, or \regularization", parameterâ€¦ (More)

- Curtis R. Vogel, Mary E. Oman
- IEEE Trans. Image Processing
- 1998

Tikhonov regularization with a modified total variation regularization functional is used to recover an image from noisy, blurred data. This approach is appropriate for image processing in that itâ€¦ (More)

- Johnathan M. Bardsley, Curtis R. Vogel
- SIAM J. Scientific Computing
- 2004

We consider a large-scale convex minimization problem with nonnegativity constraints that arises in astronomical imaging. We develop a cost functional which incorporates the statistics of the noiseâ€¦ (More)

- Martin Hanke, Curtis R. Vogel
- Numerische Mathematik
- 1999

We compare additive and multiplicative Schwarz preconditioners for the iterative solution of regularized linear inverse problems, extending and complementing earlier results of Hackbusch, King, andâ€¦ (More)

- Curtis R. Vogel, J. G. Wade
- SIAM J. Scientific Computing
- 1994

- Curtis R. Vogel, Qiang Yang
- Journal of the Optical Society of America. Aâ€¦
- 2006

We introduce a coupled system of nonlinear partial differential equations (PDEs) to model a particular microelectromechanical systems (MEMS) deformable mirror consisting of a continuous facesheetâ€¦ (More)

- Curtis R. Vogel, Q. Yang
- Applied optics
- 2006

Multigrid (MG) methods are presented for fast, efficient, flexible, and robust least-squares wavefront reconstruction in extremely high-resolution conventional adaptive optics, or ExAO. Weâ€¦ (More)

We apply a total variation minimization technique for two tasks in image processing: denoising, which is the reconstruction of an image from noisy observations of the image; and deblurring, which isâ€¦ (More)

- Curtis R. Vogel
- 1997

The L-curve method was developed for the selection of regularization parameters in the solution of discrete systems obtained from ill-posed problems. An analysis of this method is given for selectingâ€¦ (More)