The L1 /~texel pair represents a dilemma in texture discrimination because, despite having the same component orientations, discrimination is still possible (Julesz, 1981), showing a performance asymmetry. Other possible element properties that could influence this task are line terminations, closure, and the size of these elements. Wefound that line terminators are critical for the task; however, results from double-task experiments indicated that terminator-based discrimination requires the use of attention. When attention is not available for the task, "size" of the elements (with the~considered slightly larger) seems to be critical for this discrimination and for the asymmetric performance. Thgeneralize the concept of "size" to textures in general, further experiments were performed with textures of different-sized elements. Results showed, as past literature has indicated, that there is a performance asymmetry, with the larger of the elements being more visible when in the foreground. This asymmetry was additionally shown to reverse itself (i.e., the smaller element became the more visible) as the scale of the elements increased (while interelement distance remained fixed). A filter analysis was developed in order to measure the apparent size of these elements within textures (texsize), defined as the response weighted average of the filter wavelength, X, for a group of elements. The calculation of Xwas attained by introducing a nonlinearity after the second stage of flltering (or spatial averaging of filter responses). This analysis showed high correlation between the texture with the larger Xand the more visible texture. On the basis of this correlation, a wavelength-dependent noise is proposed, having more internal noise for low-spatial-frequency filters and less for high-spatial-frequency filters, An early attempt to explain texture discrimination was based on determining joint probability distributions of two luminance levels (Julesz, Gilbert, Frisch, & Schepp, 1973). It was shown that, although regions with iso-first-order statistics (luminance) could be easily discriminated, those with expected iso-second-order statistics (energy) could not. Later, many counterexamples were discovered (such as the LI/ IL pair), and consequently, Julesz (1981, 1984, 1986) developed the texton theory to define stimulus features that could give rise to spontaneous discrimination. These features (textons) included blob-like objects having particular orientations, lengths, widths, color, and intensity, with discrimination possible for adjacent texture regions differing in the density ofthese textons. This approach to understanding global luminance structure seemed well correlated with psychophysical results of texture discrimination tasks; however, it provided little intuition as to how such primitives could be extracted from arbitrary or natural images.An alternative theory purported that properties defining a region's homogeneity could be estimated using spatially localized operators, like those of the early visual sy...