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COMPGEOM
2009
ACM
15 years 4 months ago
On the topology of planar algebraic curves
We revisit the problem of computing the topology and geometry of a real algebraic plane curve. The topology is of prime interest but geometric information, such as the position of...
Jinsan Cheng, Sylvain Lazard, Luis Mariano Pe&ntil...
COMPGEOM
2009
ACM
15 years 4 months ago
High resolution surface reconstruction from overlapping multiple-views
Extracting a computer model of a real scene from a sequence of views, is one of the most challenging and fundamental problems in computer vision. Stereo vision algorithms allow us...
Nader Salman, Mariette Yvinec
COMPGEOM
1999
ACM
15 years 2 months ago
Folding Flat Silhouettes and Wrapping Polyhedral Packages: New Results in Computational Origami
We show a remarkable fact about folding paper: From a single rectangular sheet of paper, one can fold it into a flat origami that takes the (scaled) shape of any connected polygo...
Erik D. Demaine, Martin L. Demaine, Joseph S. B. M...
COMPGEOM
1997
ACM
15 years 2 months ago
Realistic Input Models for Geometric Algorithms
Many algorithms developed in computational geometry are needlessly complicated and slow because they have to be prepared for very complicated, hypothetical inputs. To avoid this, ...
Mark de Berg, Matthew J. Katz, A. Frank van der St...
COMPGEOM
1996
ACM
15 years 2 months ago
New Lower Bounds for Convex Hull Problems in Odd Dimensions
We show that in the worst case, (ndd=2e;1 +n logn) sidedness queries are required to determine whether the convex hull of n points in IRd is simplicial, or to determine the number ...
Jeff Erickson