We present algorithms for computing the differential geometry properties of intersection Curves of three implicit surfaces in R(4), using the implicit function theorem and generalizing the method of X. Ye and T. Maekawa ...

We present algorithms for computing the differential geometry properties of intersection Curves of three implicit surfaces in R(4), using the implicit function theorem and generalizing the method of X. Ye and T. Maekawa ...

We introduce arrangements of rational sections over curves. They generalize line arrangements on P-2. Each arrangement of d sections defines a single curve in Pd-2 through the Kapranov's construction of (M) over bar (0,d+1). ...

Surface reconstruction from cross cuts usually requires curve reconstruction from planar noisy point samples. The output curves must form a possibly disconnected 1-manifold for the surface reconstruction to proceed. This ...

In this paper we introduce the notion of pseudo-spherical normal Darboux images of curves on a timelike surface in three dimensional Lorentz–Minkowski space. We investigate the singularities and geometric properties of ...

Gloss is considered one of the most important visual attributes of many foods, which is difficult to measure objectively. In this paper, a gloss imaging system (GIS) was implemented to evaluate the suitability of four ...