A convex-nonconvex variational method for the additive decomposition of functions on surfaces

• Published in: Inverse problems Vol. 35; no. 12; pp. 124008 - 124040
• Main Authors: Huska, Martin, Lanza, Alessandro, Morigi, Serena, Selesnick, Ivan
• Format: Journal Article
• Language: English
• Published: IOP Publishing 01.12.2019
• Subjects: convex non-convex optimization; convex non-convex strategy; functions on surfaces; image decomposition; surface processing; variational image decomposition

We present a convex-nonconvex variational approach for the additive decomposition of noisy scalar fields defined over triangulated surfaces into piecewise constant and smooth components. The energy functional to be minimized is defined by the weighted sum of three terms, namely an fidelity term for...