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...When the initial condition is the original image, the data fitting energy always increases while the regularization energy always reduces during the optimization. Thus, regularization energy must be the dominant part since the total energy has to decrease. Therefore, Curvature filters focus on minimizing the regularization term, whose minimizers are already known. For example, if the regularization is Gaussian curvature, the developable surfaces minimize this energy.

An omnifont OCR engine. The long-term goal is recognition of formulas.