A unified approach to blending of constant and varying parametric surfaces with curvature continuity

Authors: You, X., Tian, F. and Tang, W.

http://eprints.bournemouth.ac.uk/31146/

Start date: 11 June 2018

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Authors: You, X.Y., Tian, F. and Tang, W.

http://eprints.bournemouth.ac.uk/31146/

Journal: ACM International Conference Proceeding Series

Pages: 51-56

ISBN: 9781450364010

DOI: 10.1145/3208159.3208172

© 2018 ACM. 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.

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