A MAXIMUM-LIKELIHOOD ESTIMATE FOR 2-VARIABLE FRACTAL SURFACE

Authors
BALGHONAIM AS KELLER JM
Citation
As. Balghonaim et Jm. Keller, A MAXIMUM-LIKELIHOOD ESTIMATE FOR 2-VARIABLE FRACTAL SURFACE, IEEE transactions on image processing, 7(12), 1998, pp. 1746-1753
Citations number
10
Categorie Soggetti
Computer Science Software Graphycs Programming","Computer Science Theory & Methods","Engineering, Eletrical & Electronic","Computer Science Software Graphycs Programming","Computer Science Theory & Methods
Journal title
IEEE transactions on image processing → ACNP
ISSN journal
10577149
Volume
7
Issue
12
Year of publication
1998
Pages
1746 - 1753
Database
ISI
SICI code
1057-7149(1998)7:12<1746:AMEF2F>2.0.ZU;2-O
Abstract
The fractal dimension estimate for two-variable fractional Brownian mo tion using the maximum likelihood estimate (MLE) is developed. We form ulate a model to describe the two-variable fractional Brownian motion, then derive the likelihood function for that model and estimate the f ractal dimension by maximizing the likelihood function. We then compar e the MLE with the box-dimension estimation method.