# Hex-Mesh Generation and Processing: a Survey

arXiv: https://arxiv.org/abs/2202.12670 · HTML: https://mlsanity.com/paper/2202.12670/

## Key facts

- Cited by 6 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 25 Feb 2022.

## Built on by (most cited first, 6 of 6)

- [FACE: A Face-based Autoregressive Representation for High-Fidelity and Efficient Mesh Generation](https://mlsanity.com/paper/2603.01515/) (2026)
- [DL-Polycube: Deep learning enhanced polycube method for high-quality hexahedral mesh generation and volumetric spline construction](https://mlsanity.com/paper/2410.18852/) (2024)
- [DDPM-Polycube: A Denoising Diffusion Probabilistic Model for Polycube-Based Hexahedral Mesh Generation and Volumetric Spline Construction](https://mlsanity.com/paper/2503.13541/) (2025)
- [Learning to Build Shapes by Extrusion](https://mlsanity.com/paper/2601.22858/) (2026)
- [PolycubeNet: A Dual-latent Diffusion Model for Polycube-Based Hexahedral Mesh Generation](https://mlsanity.com/paper/2605.20274/) (2026)
- [ToW3D: Consistency-aware Interactive Point-based Mesh Editing on GANs](https://mlsanity.com/paper/2609.26078/) (2026)

## Abstract (arXiv)

In this article, we provide a detailed survey of techniques for hexahedral mesh generation. We cover the whole spectrum of alternative approaches to mesh generation, as well as post processing algorithms for connectivity editing and mesh optimization. For each technique, we highlight capabilities and limitations, also pointing out the associated unsolved challenges. Recent relaxed approaches, aiming to generate not pure-hex but hex-dominant meshes, are also discussed. The required background, pertaining to geometrical as well as combinatorial aspects, is introduced along the way.