ASIAN JOURNAL OF MULTIDIMENSIONAL RESEARCH
  • Year: 2021
  • Volume: 10
  • Issue: 5

Description of the geometry of architectural and construction ornaments by means of generalized hermitian splines on a rectangular mesh

*Teacher, Bukhara Engineering Technological InstituteUzbekistan

Online published on 25 June, 2021.

Abstract

The article deals with the approximation of ornaments on surfaces of various Gaussian curvatures using cubic splines. The construction and application of the model is based on the implementation of ideas, generalized Hermitian splines, which are a generalization of the ideas of approximating lines and surfaces by mathematical splines [2,4,8,9], and their numerical description.

Keywords

Ornament, Gaussian Curvature, Cubic Splines, Polynomial, Partial Derivatives, CAD, Auto CAD