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This paper presents a new approach for creating a model of a structured surface from an unstructured cloud of points where points are measured from a surface containing a centre-line such that all perpendicular rays to that line intersect with a surface no more than once. A presented algorithm analyses cloud of points, generated by a point based 3D scanner and calculates parameters for a single non-uniform 3D B-spline mesh. A calculated model can be used directly in a 3D graphics API, such as OpenGL or converted to a structured triangle mesh. [ABSTRACT FROM AUTHOR]