Refereed full papers (journals, book chapters, international conferences)

1999

@inproceedings{PoS1999a,
	vgclass =	{refpap},
	author =	{Javier Portilla and Eero P. Simoncelli},
	title =	{Texture Modeling and Synthesis using Joint Statistics of
	Complex Wavelet Coefficients},
	booktitle =	{{IEEE} Workshop on Statistical and Computational Theories
	of Vision},
	address =	{Fort Collins, CO, USA},
	month =	{22~June},
	year =	{1999},
	url =	{http://ftp.cns.nyu.edu/pub/eero/portilla99a.pdf},
	url1 =	{http://ftp.cns.nyu.edu/pub/eero/portilla99a.ps.gz},
	abstract =	{We present a statistical characterization of texture
	images in the context of an overcomplete complex wavelet transform.
	The characterization is based on empirical observations of statistical
	regularities in such images, and parameterized by (1) the local
	auto-correlation of the coefficients in each subband; (2) both the
	local auto-correlation and cross-correlation of coefficient
	\emph{magnitudes} at other orientations and spatial scales; and (3) the
	first few moments of the image pixel histogram. We develop an e�cient
	algorithm for synthesizing random images subject to these constraints
	using alternated projections, and demonstrate its effectiveness on a
	wide range of synthetic and natural textures. In particular, we show
	that many important structural elements in textures (e.g., edges,
	repeated patterns or alternated patches of simpler texture), can be
	captured through joint second order statistics of the coefficient
	magnitudes. We also show the flexibility of the representation, by
	applying to a variety of tasks which can be viewed as constrained image
	synthesis problems, such as spatial and spectral extrapolation.},
}