Translator Disclaimer
7 March 1989 An Illumination-Based Model Of Stochastic Textures
Author Affiliations +
Proceedings Volume 1005, Optics, Illumination, and Image Sensing for Machine Vision III; (1989)
Event: 1988 Cambridge Symposium on Advances in Intelligent Robotics Systems, 1988, Boston, MA, United States
It is now widely accepted that a certain class of naturally occurring textures are best modeled using the stochastic fractal methodologies proposed by Mandelbrot. Currently, most scene modeling techniques which appeal to the fractal paradigm construct their models by the successive application of perturbations to a primitive polygonally-based representation of the scene. While we concede the efficacy of this technique in rendering the model, we argue that the technique is inherently non-scale invariant, in that it requires that the perturbed model be recomputed whenever the viewpoint of the scene is altered. Rather than adopt this approach, we argue that a knowledge of the basic fractal statistics of the scene should be sufficient to construct a rendered model of the texture without requiring the intermediate computation of a perturbed polygonal structure. Our approach involves the application of fractal geometry to the illumination physics of the object; by this, we mean that a. basic (possibly polygonal) model of the object, along with its fractal statistics, will suffice to construct a rendered version of the object with a. fractal texture independent of scene viewpoint position. To accomplish this, we rely on local perturbations of illumination nornials at the time that the normal is evaluated from the basic model of the object. The extent and nature of this local perturbation is guided by both the fractal statistics of the object and the position of the scene viewpoint. Thus, we argue that the development of the stochastic texture be done in situ at the time that the illumination is developed, rather than performed as a preliminary step in the modeling of the scene. In this way, we substantially reduce the net computational complexity of the modeling process and its subsequent rendering, since the size of the ray-tree is determined by the complexity of the base object model and not the size of the perturbed and subdivided model.
© (1989) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Michael T. DiBrino and Ian R. Greenshields "An Illumination-Based Model Of Stochastic Textures", Proc. SPIE 1005, Optics, Illumination, and Image Sensing for Machine Vision III, (7 March 1989);


Fractal-based modeling and interpolation of non-Gaussian images
Proceedings of SPIE (September 15 1994)
Modelling of light scattering by fractal clusters
Proceedings of SPIE (April 21 2008)
Fractional Brownian motion and its fractal dimension estimation
Proceedings of SPIE (September 30 1991)
Data-driven differential equation modeling of fBm processes
Proceedings of SPIE (January 04 2004)
Visual behavior: modeling 'hidden' purposes in motion
Proceedings of SPIE (December 15 1992)
Surface Inspection Based On Stochastic Modelling
Proceedings of SPIE (October 22 1986)

Back to Top