Modeling Function Domain for Curves Constructed Based on a Linear Combination of Basis Bernstein Polynomials

Abstract

The paper is devoted to designing an automated algorithm for modeling the function domain of spline curves that is needed for developing tools for R-functional and voxel-functional construction of geometric models of complex shape. Mathematical approaches to solving this problem are discussed. The parametric dependence of a spline on the function domain is investigated. An automated algorithm for constructing the function domain of a spline curve based on a linear combination of the basis Bernstein polynomials is described.