Image Processing Using Local Regularization: The Role of Optimization

Abstract

This tutorial paper explains two subjects: (i) various image processing tasks, such as denoising and color correction, can be resolved by formulating them as optimization problems that incorporate local image features such as regularization and (ii) how to efficiently solve these optimization problems. Specifically, focusing on applications exploiting the virtue of the color-line feature, we elaborate on specific techniques required in optimization for image processing from viewpoints of formulation and the solver.