Controllable C1 continuous blending of time-dependent parametric surfaces

This source preferred by Lihua You, Jian Jun Zhang, Jian Jun Zhang and Lihua You

This data was imported from Scopus:

Authors: You, L.H., Ugail, H. and Zhang, J.J.

Journal: Visual Computer

Volume: 28

Issue: 6-8

Pages: 573-583

ISSN: 0178-2789

DOI: 10.1007/s00371-012-0693-0

This paper proposes the concept of blending time-dependent varying surfaces, and develops a new method to create a controllable C1 continuous blending surface between primary parametric surfaces whose position and shape change with time. We treat it as a boundary-valued problem defined by the mathematical model of a vectored dynamic fourth-order partial differential equation subjected to time-dependent C1 continuous blending boundary constraints. High performance blending surface generation is achieved through the development of an approximate analytical solution of the mathematical model. We investigate the accuracy and efficiency of the solution, study the effective shape control of the blending surfaces, and apply the obtained solution to tackle surface blending problems. The applications demonstrate that our proposed approach is very effective and efficient in dealing with controllable C1 continuous surface blending between time-dependent varying parametric surfaces. © 2012 Springer-Verlag.

This data was imported from Web of Science (Lite):

Authors: You, L.H., Ugail, H. and Zhang, J.J.

Journal: VISUAL COMPUTER

Volume: 28

Issue: 6-8

Pages: 573-583

ISSN: 0178-2789

DOI: 10.1007/s00371-012-0693-0

The data on this page was last updated at 05:12 on February 26, 2020.