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Main Authors: Li, Jiaqi, Wang, Ruowei, Liu, Yu, Zhao, Qijun
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2504.05720
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author Li, Jiaqi
Wang, Ruowei
Liu, Yu
Zhao, Qijun
author_facet Li, Jiaqi
Wang, Ruowei
Liu, Yu
Zhao, Qijun
contents Mesh generation plays a crucial role in 3D content creation, as mesh is widely used in various industrial applications. Recent works have achieved impressive results but still face several issues, such as unrealistic patterns or pits on surfaces, thin parts missing, and incomplete structures. Most of these problems stem from the choice of shape representation or the capabilities of the generative network. To alleviate these, we extend PoNQ, a Quadric Error Metrics (QEM)-based representation, and propose a novel model, QEMesh, for high-quality mesh generation. PoNQ divides the shape surface into tiny patches, each represented by a point with its normal and QEM matrix, which preserves fine local geometry information. In our QEMesh, we regard these elements as generable parameters and design a unique latent diffusion model containing a novel multi-decoder VAE for PoNQ parameters generation. Given the latent code generated by the diffusion model, three parameter decoders produce several PoNQ parameters within each voxel cell, and an occupancy decoder predicts which voxel cells containing parameters to form the final shape. Extensive evaluations demonstrate that our method generates results with watertight surfaces and is comparable to state-of-the-art methods in several main metrics.
format Preprint
id arxiv_https___arxiv_org_abs_2504_05720
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle QEMesh: Employing A Quadric Error Metrics-Based Representation for Mesh Generation
Li, Jiaqi
Wang, Ruowei
Liu, Yu
Zhao, Qijun
Computer Vision and Pattern Recognition
Mesh generation plays a crucial role in 3D content creation, as mesh is widely used in various industrial applications. Recent works have achieved impressive results but still face several issues, such as unrealistic patterns or pits on surfaces, thin parts missing, and incomplete structures. Most of these problems stem from the choice of shape representation or the capabilities of the generative network. To alleviate these, we extend PoNQ, a Quadric Error Metrics (QEM)-based representation, and propose a novel model, QEMesh, for high-quality mesh generation. PoNQ divides the shape surface into tiny patches, each represented by a point with its normal and QEM matrix, which preserves fine local geometry information. In our QEMesh, we regard these elements as generable parameters and design a unique latent diffusion model containing a novel multi-decoder VAE for PoNQ parameters generation. Given the latent code generated by the diffusion model, three parameter decoders produce several PoNQ parameters within each voxel cell, and an occupancy decoder predicts which voxel cells containing parameters to form the final shape. Extensive evaluations demonstrate that our method generates results with watertight surfaces and is comparable to state-of-the-art methods in several main metrics.
title QEMesh: Employing A Quadric Error Metrics-Based Representation for Mesh Generation
topic Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2504.05720