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Numerical simulation of the shape of gymnasium’s roof. (Chinese. English summary) Zbl 1225.65023

Summary: The curved shape simulation of the gymnasium’s roof means of the methods and theory of the surface reconstruction. Two numerical methods are used as follows: smooth concatenation of triangular Bernstein-Bézier surface and cubic splines interpolation. By means of VC++ OpenGL, a triangular Bernstein-Bézier surface graph is obtained. The equation of the surface is obtained by cubic splines interpolation. The simulation graph is obtained by means of Matlab.
The feasibility and practicability of this method are verified by data error analysis.

MSC:

65D17 Computer-aided design (modeling of curves and surfaces)
65D05 Numerical interpolation
65D07 Numerical computation using splines

Software:

Matlab
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