Skeletonization of Three-Dimensional Object Using Generalized Potential Field
IEEE Transactions on Pattern Analysis and Machine Intelligence
An augmented Fast Marching Method for computing skeletons and centerlines
VISSYM '02 Proceedings of the symposium on Data Visualisation 2002
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
A Formal Classification of 3D Medial Axis Points and Their Local Geometry
IEEE Transactions on Pattern Analysis and Machine Intelligence
Curve-Skeleton Properties, Applications, and Algorithms
IEEE Transactions on Visualization and Computer Graphics
Defining and computing curve-skeletons with medial geodesic function
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Curve-Skeleton Extraction Using Iterative Least Squares Optimization
IEEE Transactions on Visualization and Computer Graphics
Medial Representations: Mathematics, Algorithms and Applications
Medial Representations: Mathematics, Algorithms and Applications
Curve skeleton extraction from incomplete point cloud
ACM SIGGRAPH 2009 papers
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We present a new definition of the 3D curve-skeleton. This definition provides a mathematically strict way to compare and evaluate various approaches to the skeletonization of 3D shapes. The definition is based on the usage of fat curves. A fat curve is a 3D object which allows to approximate tubular fragments of the shape. A set of fat curves is used to approximate the entire shape; such a set can be considered as a generalization of the 2D medial axis. We also present an algorithm which allows to build curve-skeletons according to the given definition. The algorithm is robust and efficient.