The area distance to a convex plane curve is an important concept in computer vision. In this paper we describe a strong link between area distances and improper affine spheres. Th...
We prove that the number of distinct weaving patterns produced by n semi-algebraic curves in R3 defined coordinate-wise by polynomials of degrees bounded by some constant d, is b...
Saugata Basu, Raghavan Dhandapani, Richard Pollack
We present some new classes of numbers that are easier to test for primality with the Elliptic Curve Primality Proving algorithm than average numbers. It is shown that this is the...
This paper gives an algorithm for computing proper polynomial parametrizations for a particular class of curves. This class is characterized by the existence of a polynomial param...
The matrix forms for curves and surfaces were largely promoted in CAD/CAM. In this paper we have presented two matrix representation formulations for arbitrary degree NURBS curves...