Publication detail

Geometrical Constraints in Bayesian Wavelet Filtering of Images

ČERVINKA, T., PROVAZNÍK, I.

Original Title

Geometrical Constraints in Bayesian Wavelet Filtering of Images

Type

conference paper

Language

English

Original Abstract

This paper describes a new method for the suppression of noise in images based on wavelet transform [3]. The method relies on two criteria. The first is a traditional criterion of smoothness of the image based on an approximation of the local Hőlder exponent via the wavelet coefficients. The second, novel criterion takes into account geometrical constraints, which are generally valid for natural and also simulated images. The smoothness measure and the geometrical constraints are combined in the described method in Bayesian probabilistic formulation, and are implemented as a Markov random field (MRF) image model. The manipulation of the wavelet coefficients is consequently based on the obtained probabilities. This method is proposed to quantitatively improve noise suppression comparing to classical methods based on wavelet transform. Qualitative improvement of images is also required (subjective sensation of sharpness and contrast).

Keywords

image processing, noise suppression, Markov Random Fields, applied probability, Hőlder regularity, random number

Authors

ČERVINKA, T., PROVAZNÍK, I.

RIV year

2004

Released

1. 1. 2004

Location

Brno

ISBN

80-214-2635-7

Book

Proceeedings of the 10th Conference STUDENT EEICT 2004

Edition number

1

Pages from

26

Pages to

30

Pages count

5

URL

http://www.feec.vutbr.cz/EEICT/

BibTex

@inproceedings{BUT12850,
  author="Tomáš {Červinka} and Valentine {Provazník}",
  title="Geometrical Constraints in Bayesian Wavelet Filtering of Images",
  booktitle="Proceeedings of the 10th Conference STUDENT EEICT 2004",
  year="2004",
  number="1",
  pages="5",
  address="Brno",
  isbn="80-214-2635-7",
  url="http://www.feec.vutbr.cz/EEICT/"
}