HLO: Half-kernel Laplacian Operator for surface smoothing

This paper presents a simple yet effective method for feature-preserving surface smoothing: HLO. We show that our method can preserve features better than the popular uniform Laplacian-based denoising and it significantly alleviates the shrinkage artifact. Extensive experimental results demonstrate that HLO is better than or comparable to state-of-the-art techniques both qualitatively and quantitatively and that it is particularly good at handling meshes with high noise.
Problem setting
This paper presents a simple yet effective method for feature-preserving surface smoothing: HLO. We show that our method can preserve features better than the popular uniform Laplacian-based denoising and it significantly alleviates the shrinkage artifact. Extensive experimental results demonstrate that HLO is better than or comparable to state-of-the-art techniques both qualitatively and quantitatively and that it is particularly good at handling meshes with high noise.
The figures below collect representative visual evidence from Computer-Aided Design, 121:102807.
Method and visual evidence
The visuals show the half-kernel Laplacian operator, its surface-smoothing behavior, and comparisons with feature-preserving denoising baselines.

Method overview.

Representation and setup.

Experimental evidence.

Result comparison.

Additional visual result.
Results and impact
The evaluation reported in Computer-Aided Design, 121:102807 is summarized through the figures above.