Digital topology: introduction and survey
Computer Vision, Graphics, and Image Processing
On topology preservation in 3D thinning
CVGIP: Image Understanding
Detection of 3-D Simple Points for Topology Preserving Transformations with Application to Thinning
IEEE Transactions on Pattern Analysis and Machine Intelligence
Building skeleton models via 3-D medial surface/axis thinning algorithms
CVGIP: Graphical Models and Image Processing
A parallel thinning algorithm for medial surfaces
Pattern Recognition Letters
A 3D fully parallel thinning algorithm for generating medial faces
Pattern Recognition Letters
A fully parallel 3D thinning algorithm and its applications
Computer Vision and Image Understanding
A Parallel 12-Subiteration 3D Thinning Algorithm to Extract Medial Lines
CAIP '97 Proceedings of the 7th International Conference on Computer Analysis of Images and Patterns
Three-Dimensional Topology Preserving Reduction on the 4-Subfields
IEEE Transactions on Pattern Analysis and Machine Intelligence
Extracting medial curves on 3D images
Pattern Recognition Letters
Directional 3D Thinning Using 8 Subiterations
DCGI '99 Proceedings of the 8th International Conference on Discrete Geometry for Computer Imagery
A 3D 3-Subiteration Thinning Algorithm for Medial Surfaces
DGCI '00 Proceedings of the 9th International Conference on Discrete Geometry for Computer Imagery
A New 3D 6-Subiteration Thinning Algorithm Based on P-Simple Points
DGCI '02 Proceedings of the 10th International Conference on Discrete Geometry for Computer Imagery
Content-based Three-dimensional Engineering Shape Search
ICDE '04 Proceedings of the 20th International Conference on Data Engineering
A 3D 12-subiteration thinning algorithm based on P-simple points
Discrete Applied Mathematics - The 2001 international workshop on combinatorial image analysis (IWCIA 2001)
A 3D 6-subiteration curve thinning algorithm based on P-simple points
Discrete Applied Mathematics - Special issue: IWCIA 2003 - Ninth international workshop on combinatorial image analysis
A note on 'A fully parallel 3D thinning algorithm and its applications'
Pattern Recognition Letters
Pattern Recognition Letters
A 3D fully parallel surface-thinning algorithm
Theoretical Computer Science
Minimal non-deletable sets and minimal non-codeletable sets in binary images
Theoretical Computer Science
Automatic Adjustment of Rigs to Extracted Skeletons
AMDO '08 Proceedings of the 5th international conference on Articulated Motion and Deformable Objects
3D Dendrite Reconstruction and Spine Identification
MICCAI '08 Proceedings of the 11th International Conference on Medical Image Computing and Computer-Assisted Intervention, Part II
Generation of Unit-Width Curve Skeletons Based on Valence Driven Spatial Median (VDSM)
ISVC '08 Proceedings of the 4th International Symposium on Advances in Visual Computing
Skeletal curves of 3D astrocyte samples
Machine Graphics & Vision International Journal
FIMH '09 Proceedings of the 5th International Conference on Functional Imaging and Modeling of the Heart
Shape-based searching for product lifecycle applications
Computer-Aided Design
A 3D 6-subiteration curve thinning algorithm based on P-simple points
Discrete Applied Mathematics - Special issue: IWCIA 2003 - Ninth international workshop on combinatorial image analysis
Thinning algorithms based on quadtree and octree representations
Information Sciences: an International Journal
An Automatic Correction of Ma's Thinning Algorithm Based on P-simple Points
Journal of Mathematical Imaging and Vision
Computer Vision and Image Understanding
A 3-subiteration surface-thinning algorithm
CAIP'07 Proceedings of the 12th international conference on Computer analysis of images and patterns
A subiteration-based surface-thinning algorithm with a period of three
Proceedings of the 29th DAGM conference on Pattern recognition
ISBI'10 Proceedings of the 2010 IEEE international conference on Biomedical imaging: from nano to Macro
Adjusting animation rigs to human-like 3D models
AMDO'10 Proceedings of the 6th international conference on Articulated motion and deformable objects
Local Orthogonal Cutting Method for Computing Medial Curves and Its Biomedical Applications
SIAM Journal on Scientific Computing
Isthmus-based 6-directional parallel thinning algorithms
DGCI'11 Proceedings of the 16th IAPR international conference on Discrete geometry for computer imagery
A family of topology-preserving 3D parallel 6-subiteration thinning algorithms
IWCIA'11 Proceedings of the 14th international conference on Combinatorial image analysis
3D topological thinning by identifying non-simple voxels
IWCIA'04 Proceedings of the 10th international conference on Combinatorial Image Analysis
A new 3d parallel thinning scheme based on critical kernels
DGCI'06 Proceedings of the 13th international conference on Discrete Geometry for Computer Imagery
Branch voxels and junctions in 3d skeletons
IWCIA'06 Proceedings of the 11th international conference on Combinatorial Image Analysis
Automated positioning of annotations in immersive virtual environments
EGVE - JVRC'10 Proceedings of the 16th Eurographics conference on Virtual Environments & Second Joint Virtual Reality
Journal of Visual Communication and Image Representation
3D parallel thinning algorithms based on isthmuses
ACIVS'12 Proceedings of the 14th international conference on Advanced Concepts for Intelligent Vision Systems
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Thinning is a frequently used method for extracting skeletons in discrete spaces. This paper presents an efficient parallel thinning algorithm that directly extracts medial lines from elongated 3D binary objects (i.e., without creating medial surface). Our algorithm provides good results, preserves topology and it is easy to implement.