Nonparametric Estimation Of Fractal Dimension

Michael C. Stein; Keith D. Hartt

doi:10.1117/12.968946

25 October 1988 Nonparametric Estimation Of Fractal Dimension

Michael C. Stein, Keith D. Hartt

Proceedings Volume 1001, Visual Communications and Image Processing '88: Third in a Series; (1988) https://doi.org/10.1117/12.968946
Event: Visual Communications and Image Processing III, 1988, Cambridge, MA, United States

Abstract

Nonparametric techniques for estimating fractal dimension are discussed. These techniques are shown to be more robust and efficient when compared with the standard least-squares estimation techniques currently in use. In particular, two alternative nonparametric schemes are presented and their use in image modeling applications is discussed. Theoretical and practical reasons are given to indicate why nonparametric methods lead to improved dimension estimation algorithms. Test results are provided that demonstrate the potential of these methods for use in dimension estimation problems, such as image modeling, where small sample sizes are necessary.

Citation Download Citation

Michael C. Stein and Keith D. Hartt "Nonparametric Estimation Of Fractal Dimension", Proc. SPIE 1001, Visual Communications and Image Processing '88: Third in a Series, (25 October 1988); https://doi.org/10.1117/12.968946

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available