University of Jyväskylä | JYX Digital Repository

  • English  | Give feedback |
    • suomi
    • English
 
  • Login
JavaScript is disabled for your browser. Some features of this site may not work without it.
View Item 
  • JYX
  • Opinnäytteet
  • Väitöskirjat
  • View Item
JYX > Opinnäytteet > Väitöskirjat > View Item

On GPU-accelerated fast direct solvers and their applications in image denoising

Thumbnail
View/Open
5.3 Mb

Downloads:  
Show download detailsHide download details  
Published in
Jyväskylä studies in computing
Authors
Myllykoski, Mirko
Date
2015
Discipline
Tietotekniikka

 
Publisher
University of Jyväskylä
ISBN
978-951-39-6277-7
ISSN Search the Publication Forum
1456-5390
Contains 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
URI

http://urn.fi/URN:ISBN:978-951-39-6277-7

Metadata
Show full item record
Collections
  • Väitöskirjat [3078]

Related items

Showing items with similar title or keywords.

  • 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 ...
  • 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 ...
  • 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 ...
  • DNA computing 

    Lappalainen, Panu (2019)
    Tässä kirjallisuuskatsauksessa käsitellään DNA:n mahdollisuuksia tietokonelaskennassa. DNA on erinomainen rinnakkaislaskennassa laskentanopeutensa ja energiatehokkuutensa puolesta, mutta sen hitaan valmisteluajan ja yleisen ...
  • Browse materials
  • Browse materials
  • Articles
  • Conferences and seminars
  • Electronic books
  • Historical maps
  • Journals
  • Tunes and musical notes
  • Photographs
  • Presentations and posters
  • Publication series
  • Research reports
  • Research data
  • Study materials
  • Theses

Browse

All of JYXCollection listBy Issue DateAuthorsSubjectsPublished inDepartmentDiscipline

My Account

Login

Statistics

View Usage Statistics
  • How to publish in JYX?
  • Self-archiving
  • Publish Your Thesis Online
  • Publishing Your Dissertation
  • Publication services

Open Science at the JYU
 
Data Protection Description

Accessibility Statement

Unless otherwise specified, publicly available JYX metadata (excluding abstracts) may be freely reused under the CC0 waiver.
Open Science Centre