International Journal of Computer Vision

, Volume 40, Issue 1, pp 49–70

A Parametric Texture Model Based on Joint Statistics of Complex Wavelet Coefficients

  • Javier Portilla
  • Eero P. Simoncelli

DOI: 10.1023/A:1026553619983

Cite this article as:
Portilla, J. & Simoncelli, E.P. International Journal of Computer Vision (2000) 40: 49. doi:10.1023/A:1026553619983


We present a universal statistical model for texture images in the context of an overcomplete complex wavelet transform. The model is parameterized by a set of statistics computed on pairs of coefficients corresponding to basis functions at adjacent spatial locations, orientations, and scales. We develop an efficient algorithm for synthesizing random images subject to these constraints, by iteratively projecting onto the set of images satisfying each constraint, and we use this to test the perceptual validity of the model. In particular, we demonstrate the necessity of subgroups of the parameter set by showing examples of texture synthesis that fail when those parameters are removed from the set. We also demonstrate the power of our model by successfully synthesizing examples drawn from a diverse collection of artificial and natural textures.

textur modeling texture synthesis non Gaussian statstics Markov random field altering projections Julesz conjecture 

Copyright information

© Kluwer Academic Publishers 2000

Authors and Affiliations

  • Javier Portilla
    • 1
  • Eero P. Simoncelli
    • 1
  1. 1.Center for Neural Science, and Courant Institute of Mathematical SciencesNew York UniversityNew YorkUSA

Personalised recommendations