NDLI: Estimation of 2-D noisy fractional Brownian motion and its applications using wavelets

Content Provider	IEEE Xplore Digital Library
Author	Jen-Chang Liu Wen-Liang Hwang Ming-Syan Chen
Copyright Year	1992
Abstract	The two-dimensional (2-D) fractional Brownian motion (fBm) model is useful in describing natural scenes and textures. Most fractal estimation algorithms for 2-D isotropic fBm images are simple extensions of the one-dimensional (1-D) fBm estimation method. This method does not perform well when the image size is small (say, 32/spl times/32). We propose a new algorithm that estimates the fractal parameter from the decay of the variance of the wavelet coefficients across scales. Our method places no restriction on the wavelets. Also, it provides a robust parameter estimation for small noisy fractal images. For image denoising, a Wiener filter is constructed by our algorithm using the estimated parameters and is then applied to the noisy wavelet coefficients at each scale. We show that the averaged power spectrum of the denoised image is isotropic and is a nearly 1/f process. The performance of our algorithm is shown by numerical simulation for both the fractal parameter and the image estimation. Applications to coastline detection and texture segmentation in a noisy environment are also demonstrated.
Sponsorship	IEEE Signal Processing Society
Starting Page	1407
Ending Page	1419
Page Count	13
File Size	1702822
File Format	PDF
ISSN	10577149
Volume Number	9
Issue Number	8
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2000-08-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Motion estimation 1f noise Brownian motion Fractals Parameter estimation Wavelet coefficients Two dimensional displays Layout Robustness Image denoising
Content Type	Text
Resource Type	Article
Subject	Computer Graphics and Computer-Aided Design Software

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Estimation of fractional Brownian motion embedded in a noisy environment using nonorthogonal wavelets

Fractal-wavelet image denoising revisited

Wavelet estimation of fractional Brownian motion embedded in a noisy environment

Incremental Fourier interpolation of 2-D fractional Brownian motion

Estimation of fractional Brownian motion with multiresolution Kalman filter banks

The ergodicity analysis of two-dimensional discrete wavelet-based fBm fields

Hyperanalytic Denoising

Bayesian Estimation of the Multifractality Parameter for Image Texture Using a Whittle Approximation

Fractal estimation from noisy data via discrete fractional Gaussian noise (DFGN) and the Haar basis

Estimation of 2-D noisy fractional Brownian motion and its applications using wavelets

Similar Documents

Estimation of fractional Brownian motion embedded in a noisy environment using nonorthogonal wavelets

Fractal-wavelet image denoising revisited

Wavelet estimation of fractional Brownian motion embedded in a noisy environment

Incremental Fourier interpolation of 2-D fractional Brownian motion

Estimation of fractional Brownian motion with multiresolution Kalman filter banks

The ergodicity analysis of two-dimensional discrete wavelet-based fBm fields

Hyperanalytic Denoising

Bayesian Estimation of the Multifractality Parameter for Image Texture Using a Whittle Approximation

Fractal estimation from noisy data via discrete fractional Gaussian noise (DFGN) and the Haar basis

Estimation of 2-D noisy fractional Brownian motion and its applications using wavelets