On GPU-accelerated fast direct solvers and their applications in image denoising
Publisher
University of JyväskyläISBN
978-951-39-6277-7ISSN Search the Publication Forum
1456-5390Contains publications
- Article I: Mirko Myllykoski, Tuomo Rossi, and Jari Toivanen. Fast Poisson solversfor graphics processing units. In P. Manninen and P. Öster, editors, Applied Parallel and Scientific Computing, volume 7782 of Lecture Notes in Computer Science, pages 265–279, 2013. DOI: 10.1007/978-3-642-36803-5_19 . Please see
- Article II: Mirko Myllykoski and Tuomo Rossi. A parallel radix-4 block cyclic reduction algorithm. Numerical Linear Algebra with Applications, 21(4):540–556,2014. DOI: 10.1099/vir.0.000063 . Please see
- Article III: Mirko Myllykoski, Tuomo Rossi, and Jari Toivanen. On solving separable block tridiagonal linear systems using a GPU implementation of radix-4 PSCR method. Submitted to SIAM Journal on Scientific Computing
- Article IV: Mirko Myllykoski, Roland Glowinski, Tommi Kärkkäinen, and Tuomo Rossi. A new augmented Lagrangian approach for L 1-mean curvature image denoising. SIAM Journal on Imaging Sciences, 8(1):95–125 , 2015. DOI: 10.1137/140962164 . Please see
- Article V: Mirko Myllykoski, Roland Glowinski, Tommi Kärkkäinen, and Tuomo Rossi. A GPU-accelerated augmented Lagrangian based L1-mean curvature image denoising algorithm implementation. In M. Gavrilova, V. Skala, editors, WSCG 2015: 23rd International Conference in Central Europe on Computer Graphics, Visualization and Computer Vision’2015: Full Papers Proceedings, pages 119–128 , 2015. Please see
Keywords
rinnakkaislaskenta alternating direction methods of multipliers augmented Lagrangian method block cyclic reduction fast direct solver fast Poisson solver GPU computing image denoising image processing mean curvature OpenCL parallel computing PSCR method separable block tridiagonal linear system numeeriset menetelmät optimointi algoritmit ohjelmointi näytönohjaimet prosessorit kuvankäsittely kohina
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A GPU-Accelerated Augmented Lagrangian Based L1-mean Curvature Image Denoising Algorithm Implementation
Myllykoski, Mirko; Glowinski, Roland; Kärkkäinen, Tommi; Rossi, Tuomo (Union Agency, 2015)This paper presents a graphics processing unit (GPU) implementation of a recently published augmented Lagrangian based L1-mean curvature image denoising algorithm. The algorithm uses a particular alternating direction ... -
A parallel radix-4 block cyclic reduction algorithm
Myllykoski, Mirko; Rossi, Tuomo (John Wiley & Sons Ltd., 2014)A conventional block cyclic reduction algorithm operates by halving the size of the linear system at each reduction step, that is, the algorithm is a radix-2 method. An algorithm analogous to the block cyclic reduction ... -
Fast Poisson solvers for graphics processing units
Myllykoski, Mirko; Rossi, Tuomo; Toivanen, Jari (Springer, 2013)Two block cyclic reduction linear system solvers are considered and implemented using the OpenCL framework. The topics of interest include a simplified scalar cyclic reduction tridiagonal system solver and the impact ... -
A New Augmented Lagrangian Approach for L1-mean Curvature Image Denoising
Myllykoski, Mirko; Glowinski, Roland; Kärkkäinen, Tommi; Rossi, Tuomo (Society for Industrial and Applied Mathematics, 2015)Variational methods are commonly used to solve noise removal problems. In this paper, we present an augmented Lagrangian-based approach that uses a discrete form of the L1-norm of the mean curvature of the graph of the ... -
Optimization-based techniques for image restoration
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