On geometric variational models for inpainting surface holes

Geometric approaches for filling-in surface holes are introduced and studied in this paper. The basic idea is to represent the surface of interest in implicit form, and fill-in the holes with a scalar, or systems of, geometric partial differential equations, often derived from optimization principles. These equations include a system for the joint interpolation of scalar and vector fields, a Laplacian-based minimization, a mean curvature diffusion flow, and an absolutely minimizing Lipschitz extension. The theoretical and computational framework, as well as examples with synthetic and real data, are presented in this paper.

• Type: Journal
• Year: 2008
• Where: CVIU
• Authors: Vicent Caselles, Gloria Haro, Guillermo Sapiro, Joan Verdera
• Keywords: CVIU 2008, Filling-in Surface Holes, Implicit Form, Mean Curvature Diffusion