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Fourth order PDE blends

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

Volume: 8

Pages: 1013-1119

Abstract:

It has been reported a fourth order partial differential equation is effective in solving surface blending problems. In this paper, we present a new approximate solution to the fourth order partial differential equation and apply it to a number of surface blending tasks. The approximate solution consists of two parts: a blended part of boundary functions is used to accurately satisfy the original boundary conditions that define the blending surfaces; and a bivariate polynomial with zeroed boundary conditions, which is used to minimize the error of the fourth order partial differential equation. Using the developed method, a number of examples are investigated to demonstrate the applications of the proposed method in surface blending.

Source: Scopus

Fourth order PDE blends

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

Pages: 1013-1019

DOI: 10.1109/IV.2004.1320266

Source: Web of Science (Lite)

Fourth order PDE blends

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

Editors: Banissi, E., Boner, K., Dastbaz, M., Clapworthy, G. and Faiola, A.

Pages: 1013-1119

Publisher: IEEE

Abstract:

It has been reported a fourth order partial differential equation is effective in solving surface blending problems. In this paper, we present a new approximate solution to the fourth order partial differential equation and apply it to a number of surface blending tasks. The approximate solution consists of two parts: a blended part of boundary functions is used to accurately satisfy the original boundary conditions that define the blending surfaces; and a bivariate polynomial with zeroed boundary conditions, which is used to minimize the error of the fourth order partial differential equation. Using the developed method, a number of examples are investigated to demonstrate the applications of the proposed method in surface blending.

Source: Manual

Preferred by: Jian Jun Zhang and Lihua You

Fourth Order PDE Blends.

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

Pages: 1013-1019

Publisher: IEEE Computer Society

DOI: 10.1109/IV.2004.1320266

https://ieeexplore.ieee.org/xpl/conhome/9225/proceeding

Source: DBLP