Generating blend surfaces using a perturbation method

Authors:
M. I. G. Bloor;M. J. Wilson;S. J. Mulligan
Affiliations:
Department of Applied Mathematical Studies University of Leeds, Leeds, LS2 9JT, United Kingdom;Department of Applied Mathematical Studies University of Leeds, Leeds, LS2 9JT, United Kingdom;Department of Mechanical Engineering University of Leeds, Leeds, LS2 9JT, United Kingdom
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2000

Citing 4
Cited 4

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Deformation of dynamic surfaces

ICCS'06 Proceedings of the 6th international conference on Computational Science - Volume Part II

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Abstract

In this paper, a method is developed for generating blend surfaces. Here, a blend is considered to be a transition surface between primary surfaces that meets those surfaces with a specified degree of continuity. They are generated as the solution of elliptic partial differential equations, perturbed by the addition of one or more higher derivatives multiplied by a small parameter. The method of matched asymptotic expansions is used to arrive at efficient analytic representations of the surfaces.