The vector distance transform in two and three dimensions
CVGIP: Graphical Models and Image Processing
Topological segmentation of discrete surfaces
International Journal of Computer Vision
Computer Vision and Image Understanding
An augmented Fast Marching Method for computing skeletons and centerlines
VISSYM '02 Proceedings of the symposium on Data Visualisation 2002
Shape Analysis and Classification: Theory and Practice
Shape Analysis and Classification: Theory and Practice
Any open bounded subset of Rn has the same homotopy type than its medial axis
SM '03 Proceedings of the eighth ACM symposium on Solid modeling and applications
ICCV '99 Proceedings of the International Conference on Computer Vision-Volume 2 - Volume 2
A Formal Classification of 3D Medial Axis Points and Their Local Geometry
IEEE Transactions on Pattern Analysis and Machine Intelligence
Graphical Models
Curve-Skeleton Properties, Applications, and Algorithms
IEEE Transactions on Visualization and Computer Graphics
Skeleton-based Hierarchical Shape Segmentation
SMI '07 Proceedings of the IEEE International Conference on Shape Modeling and Applications 2007
Defining and computing curve-skeletons with medial geodesic function
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Computing Multiscale Curve and Surface Skeletons of Genus 0 Shapes Using a Global Importance Measure
IEEE Transactions on Visualization and Computer Graphics
Retrieving articulated 3-d models using medial surfaces and their graph spectra
EMMCVPR'05 Proceedings of the 5th international conference on Energy Minimization Methods in Computer Vision and Pattern Recognition
Robust classification and analysis of anatomical surfaces using 3D skeletons
EG VCBM'08 Proceedings of the First Eurographics conference on Visual Computing for Biomedicine
ViviSection: skeleton-based volume editing
EuroVis '13 Proceedings of the 15th Eurographics Conference on Visualization
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A novel method for segmenting simplified skeletons of 3D shapes is presented. The so-called simplified Y-network is computed, defining boundaries between 2D sheets of the simplified 3D skeleton, which we take as our skeleton segments. We compute the simplified Ynetwork using a robust importance measure which has been proved useful for simplifying complex 3D skeleton manifolds. We present a voxel-based algorithm and show results on complex real-world objects, including ones containing large amounts of boundary noise.