International Journal of Computer Vision
IEEE Transactions on Pattern Analysis and Machine Intelligence
A fully parallel 3D thinning algorithm and its applications
Computer Vision and Image Understanding
Volumetric segmentation of medical images by three-dimensional bubbles
Computer Vision and Image Understanding - Special issue on physics-based modeling and reasoning in computer vision
3D Voronoi skeletons and their usage for the characterization and recognition of 3D organ shape
Computer Vision and Image Understanding
Computing and simplifying 2D and 3D continuous skeletons
Computer Vision and Image Understanding
A new Voronoi-based surface reconstruction algorithm
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Distance-ordered homotopic thinning: a skeletonization algorithm for 3D digital images
Computer Vision and Image Understanding
Two- and three-dimensional patterns of the face
Two- and three-dimensional patterns of the face
An Algorithm for the Medial Axis Transform of 3D Polyhedral Solids
IEEE Transactions on Visualization and Computer Graphics
IEEE Computer Graphics and Applications
Divergence-Based Medial Surfaces
ECCV '00 Proceedings of the 6th European Conference on Computer Vision-Part I
Extracting Skeletal Curves from 3D Scattered Data
SMI '99 Proceedings of the International Conference on Shape Modeling and Applications
From a Closed Piecewise Geodesic to a Constriction on a Closed Triangulated Surface
PG '03 Proceedings of the 11th Pacific Conference on Computer Graphics and Applications
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
Edition within a Graph Kernel Framework for Shape Recognition
GbRPR '09 Proceedings of the 7th IAPR-TC-15 International Workshop on Graph-Based Representations in Pattern Recognition
Hough transform and 3D SURF for robust three dimensional classification
ECCV'10 Proceedings of the 11th European conference on Computer vision: Part VI
3D block-based medial axis transform and chessboard distance transform based on dominance
Image and Vision Computing
Computation of the shock scaffold for unorganized point clouds in 3D
CVPR'03 Proceedings of the 2003 IEEE computer society conference on Computer vision and pattern recognition
Computing 3d symmetry sets; a case study
DSSCV'05 Proceedings of the First international conference on Deep Structure, Singularities, and Computer Vision
Shape segmentation and matching from noisy point clouds
SPBG'04 Proceedings of the First Eurographics conference on Point-Based Graphics
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The usefulness of the 3D Medical Axis (MA) is dependent on both the availability of accurate and stable methods for computing individual MA points and on schemes for deriving the local structure and connectivity among these points. We propose a framework which achieves both by combining the advantages of exact bisector computations used in computational geometry, on the one hand, and the local nature of propagation-based algorithms, on the one hand, and the local nature of propagation-based algorithms, on the other, but without the computational complexity, connectivity, added dimensionality, and post processing issues commonly found in these approaches. Specifically, the notion of flow of shocks along the MA manifold is used to identify flow along special points which are represented as 2D sheets. The scaffold not only organizes shape information in a hierarchical manner, but is a tool for the efficient recovery of the scaffold itself and can lead to exact reconstruction. We present examples of this approach for synthetic data, as well as for sherd data from the domain of digital archaeology.