In image processing, the curve comparisons can be achieved by extracting the curve information from the bitmapped images. The revealed curves are represented in the forms of the s...
The degree of a rational map measures how often the map covers the image variety. In particular, when the rational map is a parametrization, the degree measures how often the para...
We compute the singular points of a plane rational curve, parametrically given, using the implicitization matrix derived from the -basis of the curve. It is shown that singularity...
We show that many rational parametric curves can be interpolated, in a Hermite sense, by polynomial curves whose degree, relative to the number of data being interpolated, is lowe...
A canal surface S, generated by a parametrized curve m(t), in R3 is the envelope of the set of spheres with radius r(t) centered at m(t). This concept generalizes the classical of...