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» The Newton Polygon of Plane Curves with Many Rational Points
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MICS
2010
107views more  MICS 2010»
13 years 3 months ago
The Newton Polygon of a Rational Plane Curve
The Newton polygon of the implicit equation of a rational plane curve is explicitly determined by the multiplicities of any of its parametrizations. We give an intersection-theoret...
Carlos D'Andrea, Martín Sombra
ESA
2009
Springer
74views Algorithms» more  ESA 2009»
13 years 12 months ago
On Inducing Polygons and Related Problems
Bose et al. [2] asked whether for every simple arrangement A of n lines in the plane there exists a simple n-gon P that induces A by extending every edge of P into a line. We prov...
Eyal Ackerman, Rom Pinchasi, Ludmila Scharf, Marc ...
PR
1998
90views more  PR 1998»
13 years 5 months ago
Supportedness and tameness differentialless geometry of plane curves
—We introduce a class of planar arcs and curves, called tame arcs, which is general enough to describe (parts of) the boundaries of planar real objects. A tame arc can have smoot...
Longin Jan Latecki, Azriel Rosenfeld
CGF
2002
110views more  CGF 2002»
13 years 5 months ago
Free-form sketching with variational implicit surfaces
With the advent of sketch-based methods for shape construction, there's a new degree of power available in the rapid creation of approximate shapes. Sketch [Zeleznik, 1996] s...
Olga A. Karpenko, John F. Hughes, Ramesh Raskar