Blobs for Representing and Visualization 3D Objects
Written by Gabor T. Herman (external)
Gabor T. Herman
City University of New York, USA
Keynote talk in English
WSCG 2003
February 6, 2003
University of West Bohemia
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presentation slides (3MB PDF)
Abstract
A three-dimensional (3D) object can be represented as a linear combination of "blobs" (these are spherically-symmetric smooth functions) each attached to one of an efficiently-arranged grid of points in space. The representation problem becomes that of calculating how much weight to give to each of the individual blobs based on some given data. Surfaces defined by such a representation are inherently smooth, allowing superior 3D displays based on such representations to those obtained from the traditional voxel-based representations. Volume visualization can be achieved by efficient footprint algorithms and associated hardware mappings.
Recommended readings
R. M. Lewitt. Multidimensional digital image representations using generalized Kaiser-Bessel window functions. Journal of the Optical Society of America, Optics and Image Science, 7:1834-1846, 1990.
R. Marabini, G. T. Herman, and J. M. Carazo. 3D reconstruction in electron microscopy using ART with smooth spherically symmetric volume elements (blobs). Ultramicroscopy, 72:53-65, 1997.
S. Matej and R. M. Lewitt. Efficient 3D grids for image-reconstruction using spherically-symmetrical volume elements. IEEE Transactions on Nuclear Science, 42:1361-1370, 1996.
S. Muraki. Volumetric shape description of range data using "Blobby Model". Computer Graphics, 25:227-235, 1991.
