11 August 1995 Simultaneous contrast improvement and denoising via diffusion-related equations
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Abstract
The explicit use of partial differential equations (PDE's) in image processing became a major topic of study in the last years. In this work we present an algorithm for histogram modification via PDE's. We show that the histogram can be modified to achieve any given distribution. The modification can be performed while simultaneously reducing noise. This avoids the noise sharpening effect in classical algorithms. The approach is extended to local contrast enhancement as well. A variational interpretation of the flow is presented and theoretical results on the existence of solutions are given.
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Guillermo Sapiro, Guillermo Sapiro, Vicent Caselles, Vicent Caselles, "Simultaneous contrast improvement and denoising via diffusion-related equations", Proc. SPIE 2573, Vision Geometry IV, (11 August 1995); doi: 10.1117/12.216427; https://doi.org/10.1117/12.216427
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