Mesh Denoising of Developable Surfaces with Curved Foldings

This paper presents a novel mesh denoising approach designed specifically for developable models with curved folds, going beyond traditional denoising metrics to focus on restoring the model’s developability. We introduce a metric based on normal variation to assess mesh developability and integrate...

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Bibliographic Details
Published in:Computer aided design Vol. 177; p. 103776
Main Authors: Pan, Jiale, Bo, Pengbo, Li, Yifeng, Wang, Zhongquan
Format: Journal Article
Language:English
Published: Elsevier Ltd 01.12.2024
Subjects:
Curved folding
Developable surface
Geometric modeling
Geometric optimization
Mesh denoising
Mesh denoising
Curved folding
Developable surface
Geometric optimization
Geometric modeling
ISSN:0010-4485
Online Access:Get full text
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Summary:This paper presents a novel mesh denoising approach designed specifically for developable models with curved folds, going beyond traditional denoising metrics to focus on restoring the model’s developability. We introduce a metric based on normal variation to assess mesh developability and integrate it into an optimization problem that aims to increase the sparsity of the normal vector field, leading to a dedicated mesh denoising algorithm. The performance of our method is evaluated across a wide range of criteria, including standard metrics and surface developability determined through Gaussian curvature. Through testing on a variety of noisy models and comparison with several state-of-the-art mesh denoising and developability optimization techniques, our approach demonstrates superior performance in both traditional metrics and the enhancement of mesh developability. •We propose a metric using normal vector variation for surface developability.•We present a method to denoise a mesh while preserving developability and folds.•Our method surpasses existing ones in traditional metrics and developability.
ISSN:0010-4485
DOI:10.1016/j.cad.2024.103776