Abstract

This paper is concerned with a determination of a curved surface by use of a Bilinear patch when the gradients of the surface are given on discrete points. Equations expressing the gradients are derived with use of a Bilinear patch and solved by a least squares method. As the discrete points have no necessity to form a regular grid, this method can be applied to domains with arbitrary geometry. Applicability of this method is also confirmed in several cases.

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