Fast cartoon + texture image filters

Abstract : Can images be decomposed into the sum of a geometric part and a textural part? In a theoretical breakthrough, Yves Meyer proposed variational models that force the geometric part into the space of functions with bounded variation, and the textural part into a space of oscillatory distributions. Meyer's models are simple minimization problems extending the famous total variation model. However, their numerical solution has proved challenging. It is the object of a literature rich in variants and numerical attempts. This paper starts with the linear model, which reduces to a low-pass/high-pass filter pair. A simple conversion of the linear filter pair into a non-linear filter pair involving the total variation is introduced. This new-proposed nonlinear filter pair retains both the essential features of Meyer's models and the simplicity and rapidity of the linear model. It depends on only one transparent parameter: the texture scale, measured in pixel mesh. Comparative experiments show a better and faster separation of cartoon from texture. One application is illustrated: edge detection.
Document type :
Preprints, Working Papers, ...
Complete list of metadatas

Cited literature [45 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-00453255
Contributor : Antoni Buades <>
Submitted on : Thursday, February 4, 2010 - 11:12:00 AM
Last modification on : Friday, September 20, 2019 - 4:34:02 PM
Long-term archiving on: Friday, June 18, 2010 - 6:49:19 PM

File

cartoon_map5.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-00453255, version 1

Collections

Citation

Antoni Buades, Triet Le, Jean-Michel Morel, Luminita Vese. Fast cartoon + texture image filters. 2010. ⟨hal-00453255⟩

Share

Metrics

Record views

791

Files downloads

1506