Table of Contents Author Guidelines Submit a Manuscript
Abstract and Applied Analysis
Volume 2007, Article ID 45153, 14 pages
http://dx.doi.org/10.1155/2007/45153
Research Article

L1TV Computes the Flat Norm for Boundaries

1Department of Mathematics, University of Minnesota, Minneapolis 55455, MN, USA
2Los Alamos National Laboratory, Los Alamos 87545, NM, USA

Received 14 January 2007; Accepted 22 May 2007

Academic Editor: Samuel Shen

Copyright © 2007 Simon P. Morgan and Kevin R. Vixie. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [6 citations]

The following is the list of published articles that have cited the current article.

  • Vincent Duval, Jean-François Aujol, and Yann Gousseau, “The TVL1 model: A geometric point of view,” Multiscale Modeling and Simulation, vol. 8, no. 1, pp. 154–189, 2009. View at Publisher · View at Google Scholar
  • Djamila Aouada, and Hamid Krim, “Novel similarity invariant for space curves using turning angles and its application to object recognition,” ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, pp. 1277–1280, 2009. View at Publisher · View at Google Scholar
  • Djamila Aouada, and Hamid Krim, “Squigraphs for fine and compact modeling of 3-D shapes,” IEEE Transactions on Image Processing, vol. 19, no. 2, pp. 306–321, 2010. View at Publisher · View at Google Scholar
  • Martin Burger, Stanley Osher, Martin Burger, and Stanley Osher, “A Guide to the TV Zoo,” Level Set and Pde Based Reconstruction Methods in Imaging, pp. 1–70, 2013. View at Publisher · View at Google Scholar
  • Martin Burger, and Stanley Osher, “A guide to the TV zoo,” Lecture Notes in Mathematics, vol. 2090, pp. 1–70, 2013. View at Publisher · View at Google Scholar
  • Vania Vieira Estrela, Osamu Saotome, and Hermes Aguiar Magalhãespp. 543–570, 2018. View at Publisher · View at Google Scholar