A unified approach to blending of constant and varying parametric surfaces with curvature continuity
Authors: You, X.Y., Tian, F. and Tang, W.
Journal: ACM International Conference Proceeding Series
Pages: 51-56
ISBN: 9781450364010
DOI: 10.1145/3208159.3208172
Abstract:In this paper, we develop a new approach to blending of constant and varying parametric surfaces with curvature continuity. We propose a new mathematical model consisting of a vector-valued sixth-order partial differential equation (PDE) and time-dependent blending boundary constraints, and develop an approximate analytical solution of the mathematical model. The good accuracy and high computational efficiency are demonstrated by comparing the new approximate analytical solution with the corresponding accurate closed form solution. We also investigate the influence of the second partial derivatives on the continuity at trimlines, and apply the new approximate analytical solution in blending of constant and varying parametric surfaces with curvature continuity.
https://eprints.bournemouth.ac.uk/31146/
Source: Scopus
A unified approach to blending of constant and varying parametric surfaces with curvature continuity
Authors: You, X., Tian, F. and Tang, W.
Conference: Computer Graphics International
Dates: 11-14 June 2018
https://eprints.bournemouth.ac.uk/31146/
Source: Manual
A unified approach to blending of constant and varying parametric surfaces with curvature continuity
Authors: You, X., Tian, F. and Tang, W.
Conference: Computer Graphics International (CGI)
Abstract:In this paper, we develop a new approach to blending of constant and varying parametric surfaces with curvature continuity. We propose a new mathematical model consisting of a vector-valued sixth-order partial differential equation (PDE) and time-dependent blending boundary constraints, and develop an approximate analytical solution of the mathematical model. The good accuracy and high computational efficiency are demonstrated by comparing the new approximate analytical solution with the corresponding accurate closed form solution. We also investigate the influence of the second partial derivatives on the continuity at trimlines, and apply the new approximate analytical solution in blending of constant and varying parametric surfaces with curvature continuity
https://eprints.bournemouth.ac.uk/31146/
http://www.cgs-network.org/cgi18/
Source: BURO EPrints