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DIMACS
2001
13 years 6 months ago
Enumerative Real Algebraic Geometry
Let C be a smooth real plane curve. Let c be its degree and g its genus. We assume that C has at least g real branches. Let d be a nonzero natural integer strictly less than c. Let...
Frank Sottile
ECCV
1994
Springer
14 years 7 months ago
On the Enumerative Geometry of Aspect Graphs
Most of the work achieved thus far on aspect graphs has concentrated on the design of algorithms for computing the representation. After reviewing how the space of viewpoints can b...
Sylvain Petitjean
ADG
2006
Springer
220views Mathematics» more  ADG 2006»
13 years 11 months ago
Cylinders Through Five Points: Complex and Real Enumerative Geometry
It is known that five points in 3 generically determine a finite number of cylinders containing those points. We discuss ways in which it can be shown that the generic (complex) nu...
Daniel Lichtblau
STACS
1995
Springer
13 years 8 months ago
The Number of Views of Piecewise-Smooth Algebraic Objects
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 st...
Sylvain Petitjean
COMPGEOM
2008
ACM
13 years 7 months ago
Exact geometric-topological analysis of algebraic surfaces
We present a method to compute the exact topology of a real algebraic surface S, implicitly given by a polynomial f
Eric Berberich, Michael Kerber, Michael Sagraloff