Method for efficiently generating free curves in 3D modeling
A technology for 3D modeling and curve generation, applied in 2D image generation, 3D modeling, image data processing and other directions, it can solve the problems of free curve model distortion, occupying a lot of resources, affecting the authenticity of core business, etc.
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[0069] Reference figure 1 , The present invention is an efficient free curve generation method in three-dimensional modeling. The method includes four generation methods of G1 continuous free curve, G2 continuous free curve, open G2 continuous free curve, and closed G2 continuous free curve:
[0070] (1) Based on the generation of G1 continuous free curves with two determined endpoints, in modeling, when the continuity of the free curves is not high or only the contour needs to be approximated, the free curve generation method of determining the endpoints and tangents of the curve is adopted :
[0071] Such as figure 2 As shown in (a), suppose P 1 , P 2 Are two characteristic points on the target free curve, then the method of generating a G1 continuous free curve based on these two characteristic points is as follows:
[0072] (1) Pass feature point P 1 And P 2 Point as auxiliary line L o : L o (x,y)=a o x+b o y+c o =0;
[0073] (2) Passing feature point P 1 Make auxiliary line L m ...
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