Digital object reconstruction often occurs in a wide range of engineering fields, such as interactive surface sketching, 3D object scanning and medical interpretation of images. In the paper, we present a method that reconstructs a smooth spatial surface model from a given 3D triangulation. We use the properties of triangular Bézier patches, spline and macro element spaces, where we pay more attention to the Clough-Tocher macro element space, as it represents the base of the algorithm. The advantages of the presented method are complex surface interpolation, simple implementation, smoothness and numerical stability. The paper also contains algorithms and some examples. The implementation is done in the Python programming language.
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