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The publication concerns the reconstruction of the flaccid membrane surface shape based on information in an image obtained from a camera. The article includes results of the research, which aimed at optimizing the position of markers located on the surface of the flaccid membrane. The experiment used a membrane used in a model of an extracorporeal pneumatic heart assist pump. It was expected that the optimization of the position of the markers would increase the accuracy of modeling the shape of the membrane surface. The basis for modeling is the knowledge of the position of markers located in the R3 space. The coordinates of the markers were determined using a visual technique with the help of a camera. Coordinates determined in such a way were subjected to interpolation in three-dimensional space, and then were oversampled. The result is a grid representing the shape of the surface of the flaccid membrane. Evolutionary strategy was used to optimize the position of the markers. For this optimization, a unique design, selection method, a stopping condition method and an assessment function were proposed. The study was carried out for a convex membrane with a known mathematical description. Due to this, it was possible to determine the mapping error of the obtained membrane surface shape in relation to the shape of the reference surface (model), determined from a formula.
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