Abstract | ||
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A general method for rendering isosurfaces of multivariate rational and polynomial tensor products is described. The method is robust up to degree 15, handling singularities without introducing spurious rendering artifacts. The approach does not solve the problem of singularities in general, but it removes the problem from the rendering domain to the interpolation/approximation domain. It is based on finding real roots of a polynomial in Bernstein form. This makes it particularly suitable for parallel and pipelined processing. It is envisioned that the tensor products will be used as approximants or interpolants for empirical data or scalar fields. An interpolation scheme is given as an example |
Year | DOI | Venue |
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1990 | 10.1109/VISUAL.1990.146401 | IEEE Visualization 2003 |
Keywords | Field | DocType |
computer graphics,multivariate data,empirical data,silicon,tensor product,interpolation,tensors,robustness,singularities,polynomials,scalar field,hardware,computational geometry,tensile stress | Tensor product,Nearest-neighbor interpolation,Discrete mathematics,Polynomial,Tensor,Computer science,Interpolation,Scalar (physics),Algorithm,Theoretical computer science,Gravitational singularity,Rendering (computer graphics) | Conference |
ISBN | Citations | PageRank |
0-8186-2083-8 | 7 | 0.93 |
References | Authors | |
8 | 1 |
Name | Order | Citations | PageRank |
---|---|---|---|
Alyn Rockwood | 1 | 950 | 179.19 |