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COMGEO
2007
ACM
13 years 8 months ago
Geometric dilation of closed planar curves: New lower bounds
Given two points on a closed planar curve, C, we can divide the length of a shortest connecting path in C by their Euclidean distance. The supremum of these ratios, taken over all...
Annette Ebbers-Baumann, Ansgar Grüne, Rolf Kl...
ANTS
2008
Springer
106views Algorithms» more  ANTS 2008»
13 years 10 months ago
Computing in Component Groups of Elliptic Curves
Let K be a p-adic local field and E an elliptic curve defined over K. The component group of E is the group E(K)/E0(K), where E0(K) denotes the subgroup of points of good reduction...
J. E. Cremona
COMPGEOM
1989
ACM
14 years 23 days ago
Computing the Irreducible Real Factors and Components of an Algebraic Curve
We present algorithms that decompose an algebraic curve with rational coefficients in its defining bivariate equation into its irreducible real factors and its non-empty irreducib...
Erich Kaltofen
ECCV
2004
Springer
14 years 10 months ago
Reconstruction of 3-D Symmetric Curves from Perspective Images without Discrete Features
Abstract. The shapes of many natural and man-made objects have curved contours. The images of such contours usually do not have sufficient distinctive features to apply conventiona...
Wei Hong, Yi Ma, Yizhou Yu
SMA
2009
ACM
208views Solid Modeling» more  SMA 2009»
14 years 3 months ago
On the parameterization of Catmull-Rom curves
The behavior of Catmull-Rom curves heavily depends on the choice of parameter values at the control points. We analyze a class of parameterizations ranging from uniform to chordal...
Cem Yuksel, Scott Schaefer, John Keyser