Zucker, S. W., "Toward a model of Texture," Computer Graphics and Image Processing, 5, pp. 190-202, 1976.  Home/Search   Document Not in Database   Summary   Related Articles   Check

....the magnitude of the vector from the token to the polygon centroid, gives its direction, gives the overall elongation of the polygon ( for a circle) and gives the orientation of its major axis. are the coordinates of the Voronoi polygon s centroid. f 2 f 3 f 4 f 4 0 = f 5 xy, 19 Zucker [58] has proposed a method in which he regards the observable textures (real textures) as distorted versions of ideal textures. The placement rule is defined for the ideal texture by a graph that is isomorphic to a regular or semiregular tessellation. These graphs are then transformed to generate the ....

Zucker, S. W., "Toward a model of Texture," Computer Graphics and Image Processing, 5, pp. 190-202, 1976.

....around the issue of structure vs. statistics : it is widely recognised that many naturally occurring textures exhibit a combination of regularity, such as approximate periodicity, and variation which is hard to model using either straightforward repetition or traditional statistical techniques [1, 2, 3, 7]. In particular, there has been much work based on spectral analysis [4, 5, 6, 7] in which methods have become ever more sophisticated. Yet even when these methods yield good segmentation results, their ability to capture textural properties is limited because they have generally ignored the ....

S. Zucker, "Towards a model of texture", Comput. Graph. Image Proc., 5, pp. 190-202, 1976.

....be informally described as the task of partitioning an image into homogeneous regions. For textured images one of the main conceptual difficulties is the definition of a homogeneity measure in mathematical terms. Many explicit texture models ranging from statistical [4] to structural approaches [5, 6] have been considered in the last three decades. For example, textures are often represented by feature vectors, by the means and variances of a filter bank output [7, 8] wavelet coefficients [9] wave packets [10] fractal dimension [11] or as parameters of an explicit Markov random field model ....

S. Zucker, "Towards a model of texture," Computer Graphics and Image Processing, vol. 5, pp. 190--202, 1976.

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