The method investigated in this paper is concerned with the multivariate global optimization with box constraints. A new quadratic lower bound in a branch and bound framework is proposed. For a continuous, twice differentiable function f, the new lower bound is given by a difference of the...

The main purpose of this paper is to provide a method that allows to solve the blending problem of two parametric surfaces. The blending surface is constructed with a collection of space curves defined by point pairs on the blending boundaries of given primary surfaces. Bézier and C-cubic...

The surface/curve intersection problem, through the resultants process results in a high degree (n≥100) polynomial equation on [0,1] in the Bernstein basis. The knowledge of multiplicities of the roots is critical for the topological coherence of the results. In this aim, we propose an...