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Awesome 3D Medial Axis

A compilation on Medial Axis/Skeleton and its applications, comprising academic papers, as well as some valuable open-source projects.

The focus is primarily on three-dimensional graphics, particularly work related to CAD geometric processing.

I will divide these works into two categories: Computation Methods and Applications.

The Computation Methods will be classified by their publication years, while the Applications will be categorized by their application scenarios.

😊 I will update it regularly.

Computation Methods

2025

  • Pengfei Wang, Jiantao Song, Lei Wang, Shiqing Xin, Dong-Ming Yan, Shuangmin Chen, Changhe Tu, Wenping Wang. "Towards Voronoi Diagrams of Surface Patches".

2024

  • Ningna Wang, Hui Huang, Shibo Song, Bin Wang, Wenping Wang, Xiaohu Guo. "MATTopo: Topology-preserving Medial Axis Transform with Restricted Power Diagram".
  • Minghao Guo, Bohan Wang, Wojciech Matusik. "Medial Skeletal Diagram: A Generalized Medial Axis Approach for 3D Shape Representation".
  • Dmitry Petrov, Pradyumn Goyal, Vikas Thamizharasan, Vladimir G. Kim, Matheus Gadelha, Melinos Averkiou, Siddhartha Chaudhuri, Evangelos Kalogerakis. "GEM3D: Generative Medial Abstractions for 3D Shape Synthesis".
  • Qijia Huang, Pierre Kraemer, Sylvain Thery, Dominique Bechmann. "Dynamic Skeletonization Via Variational Medial Axis Sampling".
  • Zimeng Wang, Zhiyang Dou, Rui Xu, Cheng Lin, Yuan Liu, Xiaoxiao Long, Shiqing Xin, Lingjie Liu, Taku Komura, Xiaoming Yuan, Wenping Wang. "Coverage Axis++: Efficient Inner Point Selection for 3D Shape Skeletonization".

2023

  • Mengyuan Ge, Junfeng Yao, Baorong Yang, Ningna Wang, Zhonggui Chen, Xiaohu Guo. "Point2MM: Learning medial mesh from point clouds".

2022

  • Ningna Wang, Bin Wang, Wenping Wang, Xiaohu Guo. "Computing Medial Axis Transform with Feature Preservation via Restricted Power Diagram".
  • Zhiyang Dou, Cheng Lin, Rui Xu, Lei Yang, Shiqing Xin, Taku Komura, Wenping Wang. "Coverage Axis: Inner Point Selection for 3D Shape Skeletonization".

2018

  • Yajie Yan, David Letscher, Tao Ju. "Voxel Cores: Efficient, robust, and provably good approximation of 3D medial axes".

2016

  • Yajie Yan, Kyle Sykes, Erin Chambers, David Letscher, Tao Ju. "Erosion Thickness on Medial Axes of 3D Shapes".

2015

  • Pan Li, Bin Wang, Feng Sun, Xiaohu Guo, Caiming Zhang, Wenping Wang. "Q-MAT: Computing Medial Axis Transform by Quadratic Error Minimization".

2012

  • Jaehwan Ma, Sang Won Bae, Sunghee Choi. "3D medial axis point approximation using nearest neighbors and the normal field".
  • Andrea Tagliasacchi, Ibraheem Alhashim, Matt Olson, Hao Zhang. "Mean Curvature Skeletons".

Applications

Hex-mesh Generation

  • Sheng Zhang, Gang Xu, Haiyan Wu, Renshu Gu, Long Qi, Yufei Pang. "Medial hex‑meshing: high‑quality all‑hexahedral mesh generation based on medial mesh".
    • Engineering with Computers 2024
    • [Paper][Code]
  • Paul Viville, Pierre Kraemer and Dominique Bechmann. "Meso-Skeleton Guided Hexahedral Mesh Design".
  • Marco Livesu, Alessandro Muntoni, Enrico Puppo, Riccardo Scateni. "Skeleton-driven Adaptive Hexahedral Meshing of Tubular Shape".

Surface Reconstruction

  • Nina Amenta, SungheeChoi Ravi, Krishna Kolluri. "The Power Crust".

Quad Layout

  • Francesco Usai, Marco Livesu, Enrico Puppo, Marco Tarini, Riccardo Scateni. "Extraction of the Quad Layout of a Triangle Mesh Guided by its Curve-Skeleton".

Shape Segmentation

  • Cheng Lin, Lingjie Liu, Changjian Li, Leif Kobbelt, Bin Wang, Shiqing Xin, Wenping Wang. "SEG-MAT: 3D Shape Segmentation Using Medial Axis Transform".

Collision Detection

  • Xingxin Li, Shibo Song, Junfeng Yao, Hanyin Zhang, Rongzhou Zhou, Qingqi Hong. "Efficient collision detection using hybrid medial axis transform and BVH for rigid body simulation".

Object Recognition

  • Jianwei Hu, Bin Wang, Lihui Qian, Yiling Pan, Xiaohu Guo, Lingjie Liu, Wenping Wang. "MAT-Net: Medial Axis Transform Network for 3D Object Recognition".