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The number of views of piecewise-smooth algebraic objects (1995)
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by
Sylvain Petitjean
| Citations: | 2 - 2 self |
BibTeX
@MISC{Petitjean95thenumber,
author = {Sylvain Petitjean},
title = {The number of views of piecewise-smooth algebraic objects},
year = {1995}
}
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Abstract
A solid object in 3-dimensional space may be described by a collection of all its topologically distinct 2-dimensional appearances, its aspect graph. In this paper, we study the complexity of aspect graphs of piecewise-smooth algebraic objects using the modern tools of algebraic geometry, i.e. intersection theory, multiple-point theory and enumerative geometry. We give a bound on the number of different appearances of such objects, an indication of the computational complexity of aspect graphs.
