Minimal surfaces

Jana Veckova



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Tensioned membrane constructions have many good physical qualities besides that they are architectonical very interesting. Their construction can start from minimal surfaces. Computation of inner points of the surface with a minimal area from prescribed boarder is quite difficult in many respects. I was inspired by Spanish research by JuanMonterde who focused on Plateau-B´ezier problem in 2002, [1]. Minimal surfaces are constructed approximately during construction in engineering. Therefore we are looking for means that can approximate the searched surface with respect to the best accession to a minimal surface area. One possibility to solve such problem is to investigate surfaces that are parameterized by polynomial functions, in particular by Bezier surfaces, or by piecewise polynomial functions.

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Veckova, Jana