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ISAAC
1998
Springer
90views Algorithms» more  ISAAC 1998»
14 years 3 months ago
Generalized Self-Approaching Curves
Abstract. We consider all planar oriented curves that have the following property depending on a fixed angle . For each point B on the curve, the rest of the curve lies inside a we...
Oswin Aichholzer, Franz Aurenhammer, Christian Ick...
IWSEC
2010
Springer
13 years 9 months ago
Differential Addition in Generalized Edwards Coordinates
We use two parametrizations of points on elliptic curves in generalized Edwards form x2 + y2 = c2 (1 + dx2 y2 ) that omit the xcoordinate. The first parametrization leads to a diff...
Benjamin Justus, Daniel Loebenberger
IJRR
2010
117views more  IJRR 2010»
13 years 8 months ago
Generalizing Dubins Curves: Minimum-time Sequences of Body-fixed Rotations and Translations in the Plane
This paper presents the minimum-time sequences of rotations and translations that connect two configurations of a rigid body in the plane. The configuration of the body is its pos...
Andrei A. Furtuna, Devin J. Balkcom
TIT
2002
72views more  TIT 2002»
13 years 10 months ago
Principal curves with bounded turn
Principal curves, like principal components, are a tool used in multivariate analysis for ends like feature extraction. Defined in their original form, principal curves need not ex...
S. Sandilya, Sanjeev R. Kulkarni
JMIV
2000
125views more  JMIV 2000»
13 years 10 months ago
Recognizing 3D Objects Using Tactile Sensing and Curve Invariants
A general paradigm for recognizing 3D objects is offered, and applied to some geometric primitives (spheres, cylinders, cones, and tori). The assumption is that a curve on the surf...
Daniel Keren, Ehud Rivlin, Ilan Shimshoni, Isaac W...