Complex lattice structural body parametric modeling method
A lattice structure, lattice structure technology, applied in image data processing, instruments, calculations, etc., to achieve the effect of good grid quality
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[0048] The first step: NURBS volume parametric model expression
[0049] A one-to-one mapping relationship is established by creating a three-variable tensor volume parameterized model T and a regular closed volume (cube) P, such as figure 1 shown.
[0050] Its mapping function, that is, the expression of the three-dimensional space NURBS volume parameterized model is as follows:
[0051]
[0052] here {P i,j,k } is the body control point, {ω i,j,k } is the weight factor, N i,p (u),N j,q (v),N k,r (w) are the NURBS basis functions defined on the aperiodic (and non-uniform) node vector spaces U, V, and W with p, q, and r degrees, respectively.
[0053] Equation (2) is the expression of the NURBS basis functions in the U direction, and the definitions of the basis functions in the V and W directions are similar.
[0054]
[0055] For the solid model of complex lattice structure, it is not only difficult to express the physical domain model through the expression of ...
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