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Union of Spheres (UoS) Model for Volumetric Data (1995)  (Make Corrections)  (1 citation)
Vishwa Ranjan and Alain Fournier Department of Computer Science, University...
Symposium on Computational Geometry



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Abstract: Introduction A stable representation of an object means that the representation is unique, is independent of the sampling geometry, resolution, noise, and other small distortions in the data, and is instead linked to the shape of the object. Stable representations help characterize shapes for comparison or recognition; skeletal (or medial axis) and volume primitive models have been popular in vision for the same reason. Piecewise polyhedral representations, e.g., tetrahedra, and voxel... (Update)

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Ranjan, V., and Fournier, A., "Union of spheres (UoS) model for volumetric data", short communication, to appear in the proceedings of the Eleventh Annual Symposium on Computational Geometry to be held in Vancouver, Canada. http://citeseer.ist.psu.edu/ranjan95union.html   More

@inproceedings{ ranjan95union,
    author = "Vishwa Ranjan and Alain Fournier",
    title = "Union of Spheres (UoS) Model for Volumetric Data",
    booktitle = "Symposium on Computational Geometry",
    pages = "C2-C3",
    year = "1995",
    url = "citeseer.ist.psu.edu/ranjan95union.html" }
Citations (may not include all citations):
165   Threedimensional alpha shapes - Edelsbrunner, Mucke - 1994
51   The union of balls and its dual shape (context) - Edelsbrunner - 1993
8   Volume models for volumetric data - Ranjan, Fournier - 1994
5   Power diagrams: properties, algorithms and applications (context) - Aurenhammer - 1987
5   Smallest enclosing disks, balls and ellipsoids - Welzl - 1991

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