Abstract
We introduce an interpolation scheme to generate a class of irregular surfaces. The analysis is first carried out for a triangleT. We define the function ϕ on a subsetX, dense inT. In terms of the construction parameters of ϕ, we establish sufficient conditions for its uniform continuity so that it would be possible to extend it to a continuous function on the whole ofT. We do the same analysis in the case of a rectangleR.
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Communicated by Tim N. T. Goodman.
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Dubuc, S., Nekka, F. General interpolation schemes for the generation of irregular surfaces. Constr. Approx 9, 525–542 (1993). https://doi.org/10.1007/BF01204655
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DOI: https://doi.org/10.1007/BF01204655