We present a class of stimuli that makes it possible to study the interaction of visual attributes in forming textural patterns. These stimuli are obtained in a simple manner from a class of motion stimuli that we described earlier . The main advantages of the texture stimuli presented in this paper are: (1) each attribute can be arranged simultaneously with, but independently of, other attributes, (2) an arbitrary number of attributes can be used, (3) the interaction of attributes can be studied systematically, (4) direct comparison of two attributes is possible with stimuli in which the two are arranged to form competing patterns, and (5) because of the similarity to the motion stimuli, the relationship between texture and motion mechanisms can be investigated.A standard method for portraying unidimensional apparent motion (AM) is to employ the x-t plane (Adelson & Bergen, 1985). In this method, the frame-rows that are displayed in temporal sequence to produce AM are shown with frame 0 at the top and frame i + 1 displayed just below frame i. In this manner, time is mapped onto the vertical axis with its value increasing downward, enabling us to portray a motion sequence as a two-dimensional pattern. Not surprisingly, some complex x-t plane arrangements produce strong impressions of two-dimensional textures (see, e.g., Figures 1 and 4 of Chubb & Sperling, 1988). As a result, we modified our class of multiattribute motion stimuli to study the role of visual attributes in textural grouping (Beck, 1966(Beck, , 1982Callaghan, 1989;Callaghan, Lasaga, & Garner, 1986;Garner & Feldoldy, 1970; Nothdurft, 1985;Olson & Attneave, 1970). In this paper, we follow closely the notation and exposition of our earlier paper on motion stimuli .
MULTIATTRIBUTE TEXTURE STIMULI
Generic FormThe generic texture stimulus is illustrated in Figure 1, in which the x-and y-axes represent the principal spatial variables, discretized by the indicesj and i, respectively. As shown in Figure 1,
5only in positions in which the sum i +j of the discretized spatial variables is even, resulting in a layered-brick pattern. The width of each textel block is p and the separation between blocks is q, resulting in an interelement distance xo.If one ignores the labels of the textels in Figure 1, then the rnicroelements can be grouped in the same way along the two main diagonals (labeled dBL and dAR), because ax is exactly one-half of xo. This results in an equiprobable, ambiguous grouping along the main diagonals. One can break this ambiguity by arranging, or matching, an attribute A coherently so that its values (decoted by A o , AI> and A2) favor a textural grouping along the top-left to bottom-right, or the negatively sloped, diagonal dAR. For example, if A is color, then A o , AI> and A 2 can be red, green, and blue. Independently, attribute B can be arranged coherently in space to produce a grouping that favors the positively sloped diagonal dBL, as shown in Figure 1. There are two other basic ways in which an attribute can be arranged:1. Multivalu...