DocumentCode
1445438
Title
A maximum likelihood estimate for two-variable fractal surface
Author
Balghonaim, Adil S. ; Keller, James M.
Author_Institution
Dept. of Electr. Eng., King Fahd Univ. of Pet. & Miner., Dhahran, Saudi Arabia
Volume
7
Issue
12
fYear
1998
fDate
12/1/1998 12:00:00 AM
Firstpage
1746
Lastpage
1753
Abstract
The fractal dimension estimate for two-variable fractional Brownian motion using the maximum likelihood estimate (MLE) is developed. We formulate a model to describe the two-variable fractional Brownian motion, then derive the likelihood function for that model and estimate the fractal dimension by maximizing the likelihood function. We then compare the MLE with the box-dimension estimation method
Keywords
Brownian motion; fractals; image motion analysis; image segmentation; maximum likelihood estimation; MLE; box-dimension estimation method; digital images; feature values; fractal dimension estimate; image segmentation; likelihood function; maximum likelihood estimate; synthetically generated images; two-variable fractal surface; two-variable fractional Brownian motion; Brownian motion; Fractals; Frequency estimation; Gaussian processes; Maximum likelihood detection; Maximum likelihood estimation; Motion estimation; Pattern matching; Surface texture; Time series analysis;
fLanguage
English
Journal_Title
Image Processing, IEEE Transactions on
Publisher
ieee
ISSN
1057-7149
Type
jour
DOI
10.1109/83.730389
Filename
730389
Link To Document