25 October 1988 Nonparametric Estimation Of Fractal Dimension
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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.
© (1988) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Michael C. Stein, Keith D. Hartt, "Nonparametric Estimation Of Fractal Dimension", Proc. SPIE 1001, Visual Communications and Image Processing '88: Third in a Series, (25 October 1988); doi: 10.1117/12.968946; https://doi.org/10.1117/12.968946
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