Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Thinning Methodologies-A Comprehensive Survey
IEEE Transactions on Pattern Analysis and Machine Intelligence
Detection of 3-D Simple Points for Topology Preserving Transformations with Application to Thinning
IEEE Transactions on Pattern Analysis and Machine Intelligence
Simple points, topological numbers and geodesic neighborhoods in cubic grids
Pattern Recognition Letters
Building skeleton models via 3-D medial surface/axis thinning algorithms
CVGIP: Graphical Models and Image Processing
On generating topologically consistent isosurfaces from uniform samples
The Visual Computer: International Journal of Computer Graphics
A parallel thinning algorithm for medial surfaces
Pattern Recognition Letters
A 3D fully parallel thinning algorithm for generating medial faces
Pattern Recognition Letters
Computing and simplifying 2D and 3D continuous skeletons
Computer Vision and Image Understanding
Computer Vision and Image Understanding
A parallel 3D 12-subiteration thinning algorithm
Graphical Models and Image Processing
Proceedings of the sixth ACM symposium on Solid modeling and applications
Approximate medial axis as a voronoi subcomplex
Proceedings of the seventh ACM symposium on Solid modeling and applications
Pruning Discrete and Semiocontinuous Skeletons
ICIAP '95 Proceedings of the 8th International Conference on Image Analysis and Processing
Efficient computation of a simplified medial axis
SM '03 Proceedings of the eighth ACM symposium on Solid modeling and applications
Anchor Point Thinning Using a Skeleton Based on the Euclidean Distance Transformation
ICPR '02 Proceedings of the 16 th International Conference on Pattern Recognition (ICPR'02) Volume 3 - Volume 3
Simplifying curve skeletons in volume images
Computer Vision and Image Understanding
Robust repair of polygonal models
ACM SIGGRAPH 2004 Papers
Homotopy-preserving medial axis simplification
Proceedings of the 2005 ACM symposium on Solid and physical modeling
Shape Simplification Based on the Medial Axis Transform
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
Volume decomposition and hierarchical skeletonization
VRCAI '08 Proceedings of The 7th ACM SIGGRAPH International Conference on Virtual-Reality Continuum and Its Applications in Industry
Digital Topology on Adaptive Octree Grids
Journal of Mathematical Imaging and Vision
Surface area estimation of digitized 3D objects using quasi-Monte Carlo methods
Pattern Recognition
Harmonic field based volume model construction from triangle soup
Journal of Computer Science and Technology
K3M: A universal algorithm for image skeletonization and a review of thinning techniques
International Journal of Applied Mathematics and Computer Science
IEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB)
Non-manifold medial surface reconstruction from volumetric data
GMP'10 Proceedings of the 6th international conference on Advances in Geometric Modeling and Processing
Centroidal Voronoi Tessellation of Line Segments and Graphs
Computer Graphics Forum
Generalized Swept Mid-structure for Polygonal Models
Computer Graphics Forum
Proceedings of the ACM Conference on Bioinformatics, Computational Biology and Biomedicine
Polygonization of volumetric skeletons with junctions
Computer-Aided Design
Beta-sheet Detection and Representation from Medium Resolution Cryo-EM Density Maps
Proceedings of the International Conference on Bioinformatics, Computational Biology and Biomedical Informatics
A new relative chain code in 3D
Pattern Recognition
Information Processing Letters
Intensity-Based Skeletonization of CryoEM Gray-Scale Images Using a True Segmentation-Free Algorithm
IEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB)
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Skeletons are important shape descriptors in object representation and recognition. Typically, skeletons of volumetric models are computed using iterative thinning. However, traditional thinning methods often generate skeletons with complex structures that are unsuitable for shape description, and appropriate pruning methods are lacking. In this paper, we present a new method for computing skeletons of volumetric models by alternating thinning and a novel skeleton pruning routine. Our method creates a family of skeletons parameterized by two user-specified numbers that determine respectively the size of curve and surface features on the skeleton. As demonstrated on both real-world models and protein images in bio-medical research, our method generates skeletons with simple and meaningful structures that are particularly suitable for describing cylindrical and plate-like shapes.