Static/Dynamic Filtering for Mesh Geometry

TL;DR

This paper introduces a novel static/dynamic filtering technique for mesh geometry that combines static and dynamic guidance to improve feature preservation and noise robustness in geometry processing tasks.

Contribution

The paper presents a new geometry filtering method that unifies static and dynamic guidance, inspired by image filtering advances, with an efficient solver for scale-aware, feature-preserving mesh smoothing.

Findings

Outperforms existing filters in mesh denoising and feature enhancement

Effective for texture color filtering on mesh surfaces

Demonstrates robustness to noise and outliers

Abstract

The joint bilateral filter, which enables feature-preserving signal smoothing according to the structural information from a guidance, has been applied for various tasks in geometry processing. Existing methods either rely on a static guidance that may be inconsistent with the input and lead to unsatisfactory results, or a dynamic guidance that is automatically updated but sensitive to noises and outliers. Inspired by recent advances in image filtering, we propose a new geometry filtering technique called static/dynamic filter, which utilizes both static and dynamic guidances to achieve state-of-the-art results. The proposed filter is based on a nonlinear optimization that enforces smoothness of the signal while preserving variations that correspond to features of certain scales. We develop an efficient iterative solver for the problem, which unifies existing filters that are based on static or dynamic guidances. The filter can be applied to mesh face normals followed by vertex position update, to achieve scale-aware and feature-preserving filtering of mesh geometry. It also works well for other types of signals defined on mesh surfaces, such as texture colors. Extensive experimental results demonstrate the effectiveness of the proposed filter for various geometry processing applications such as mesh denoising, geometry feature enhancement, and texture color filtering.