Pyramid AR model to generate fractal Brownian random field

Bingcheng Li; Songde Ma

doi:10.1117/12.157865

22 October 1993 Pyramid AR model to generate fractal Brownian random field

Bingcheng Li, Songde Ma

Proceedings Volume 2094, Visual Communications and Image Processing '93; (1993) https://doi.org/10.1117/12.157865
Event: Visual Communications and Image Processing '93, 1993, Cambridge, MA, United States

Abstract

Fractal Brownian random (FBR) field is an extension of fractional Brownian motion (FBM) and has been successfully used in image analysis, the generation of natural scenes, fractal geometry, and other areas. But its implementation is difficult and limits its applications. In this paper, by extending the AR model, we propose a new approach, the pyramid-AR-model approach, to implement FBR fields. The new method has the same computational complexity as A. Fournier's, but it can generate FBR fields much more accurately.

Citation Download Citation

Bingcheng Li and Songde Ma "Pyramid AR model to generate fractal Brownian random field", Proc. SPIE 2094, Visual Communications and Image Processing '93, (22 October 1993); https://doi.org/10.1117/12.157865

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