Three-dimensional object recognition
ACM Computing Surveys (CSUR) - Annals of discrete mathematics, 24
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
Simple points, topological numbers and geodesic neighborhoods in cubic grids
Pattern Recognition Letters
A fully parallel 3D thinning algorithm and its applications
Computer Vision and Image Understanding
A 3D 6-subiteration thinning algorithm for extracting medial lines
Pattern Recognition Letters
A parallel 3D 12-subiteration thinning algorithm
Graphical Models and Image Processing
ACM Transactions on Graphics (TOG)
A 3D 12-subiteration thinning algorithm based on P-simple points
Discrete Applied Mathematics - The 2001 international workshop on combinatorial image analysis (IWCIA 2001)
Pattern Recognition Letters
A 3D fully parallel surface-thinning algorithm
Theoretical Computer Science
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
A parallel algorithm to skeletonize the distance transform of 3D objects
Image and Vision Computing
An Automatic Correction of Ma's Thinning Algorithm Based on P-simple Points
Journal of Mathematical Imaging and Vision
Computer Vision and Image Understanding
Computation of the Euler number using the contact perimeter
Computers & Mathematics with Applications
Vessel tree extraction using locally optimal paths
ISBI'10 Proceedings of the 2010 IEEE international conference on Biomedical imaging: from nano to Macro
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
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A 3D thinning algorithm erodes a 3D binary image layer by layer to extract the skeletons. This paper presents a correction to Ma and Sonka's thinning algorithm, 'A fully parallel 3D thinning algorithm and its applications', which fails to preserve connectivity of 3D objects. We start with Ma and Sonka's algorithm and examine its verification of connectivity preservation. Our analysis leads to a group of different deleting templates, which can preserve connectivity of 3D objects.