Departures from a regular texture pattern can happen in many di erent dimensions. Previous related work has focused on faithful texture synthesis for near-regular texture departing along the color and intensity axes while the underlying geometric regularity is well preserved. In this paper, we address the issue of faithful texture synthesis for textures that have both the structural and color/i...

We give a systematic development of the application of matrix norms to rapid mixing in spin systems. We show that rapid mixing of both random update Glauber dynamics and systematic scan Glauber dynamics occurs if any matrix norm of the associated dependency matrix is less than 1. We give improved analysis for the case in which the diagonal of the dependency matrix is 0 (as in heat bath dynamics...

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