A Unified Surface Geometric Framework for Feature-Aware Denoising, Hole Filling and Context-Aware Completion

• Published in: Journal of mathematical imaging and vision Vol. 65; no. 1; pp. 82 - 98
• Main Authors: Calatroni, Luca, Huska, Martin, Morigi, Serena, Recupero, Giuseppe Antonio
• Format: Journal Article
• Language: English
• Published: New York Springer US 2023; Springer Nature B.V
• Subjects: Applications of Mathematics; Approximation; Computational geometry; Computer Science; Context; Convexity; Data acquisition; Image Processing and Computer Vision; Mathematical analysis; Mathematical Methods in Physics; Noise reduction; Numerical methods; Optimization; Parameterization; Random noise; Regularization; Robustness (mathematics); Signal,Image and Speech Processing; Three dimensional printing; Willmore energy; Sparse non-convex optimization; Surface denoising; Context-aware mesh completion; Surface inpainting; Variational surface restoration

Technologies for 3D data acquisition and 3D printing have enormously developed in the past few years, and, consequently, the demand for 3D virtual twins of the original scanned objects has increased. In this context, feature-aware denoising, hole filling and context-aware completion are three essent...