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Published in:
1995 | ReviewPaper | Chapter
The number of views of piecewise-smooth algebraic objects
Author : Sylvain Petitjean
Published in: STACS 95
Publisher: Springer Berlin Heidelberg
Included in: Professional Book Archive
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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.