50 search results - page 5 / 10 » On the topology of planar algebraic curves |
DCG
2007
13 years 7 months ago
2007
Motivated by Gauss’s first proof of the Fundamental Theorem of Algebra, we study the topology of harmonic algebraic curves. By the maximum principle, a harmonic curve has no bou...
SODA
2008
ACM
13 years 9 months ago
2008
ACM
We show how to compute the planar arrangement induced by segments of arbitrary algebraic curves with the Bentley-Ottmann sweep-line algorithm. The necessary geometric primitives r...
MICCAI
2006
Springer
14 years 8 months ago
2006
Springer
In medical imaging, parameterized 3D surface models are of great interest for anatomical modeling and visualization, statistical comparisons of anatomy, and surface-based registrat...
SMA
2008
ACM
13 years 7 months ago
2008
ACM
We present robust and efficient algorithms for computing Voronoi diagrams of planar freeform curves. Boundaries of the Voronoi diagram consist of portions of the bisector curves b...
CGI
2006
IEEE
14 years 1 months ago
2006
IEEE
In this paper a computational model called dynamic medial axis (DMA) is proposed to describe the internal evolution of planar shapes. To define the DMA, a symbolic representation ...