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TRANSMITTING DATA TO MODEL 3D OBJECTS AS SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS
TRANSMITTING DATA TO MODEL 3D OBJECTS AS SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS
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机译:将数据传输到3D对象模型作为偏微分方程的解决方案
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摘要
A surface patch of a 3D object (10) is represented by storing curve data (510) for a plurality of control curves (20) which act as boundary conditions to a partial differential equation (PDE) . Solving the PDE for the boundary conditions given by the control curves (20) accurately provides the PDE surface patch. Each of the control curves (20) is stored such as by Fourier coefficients or as coefficients of a finite Fourier series together with a difference vector field (R) . Optionally, the surface patch is also represented with a spine S stored as curve data such as polynomial coefficients.
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