Muti-surface Deformation Technology Which Meet G~1 Continuity

Geometric modeling technology is the core content of computer-aided design and manufacturing,and surface deformation is an important part of geometric modeling technology.At present,free-form surface modeling technology has been widely used in the digital design of industrial products such as aircraft,automobiles and ships.According to different design requirements,the modification and editing of model surfaces is often an iterative process.Therefore,the deformation technology that effectively guarantees the continuity of the multi-surface is of great significance for optimizing the design effect of the product and shortening the product design cycle,and at the same time providing effective help for the innovative design of the digital product.By studying the G~1 continuous multi-surface deformation technology,this paper achieves the effect of maintaining smooth splicing between non tailoring multiple surfaces of the model after applying geometric constraints,and provides an effective solution for the surface continuity problem in complex model deformation design.The main research work and results of this paper are as follows:Research on multi B-spline surface deformation technology which meet G~0 continuity based on least squares optimization.The continuity condition of G~0 is analyzed,and the boundary of the surface is adjusted by the optimization target with shape similarity.Two adaptive deformation correction methods satisfying the Precision requirement are proposed to achieve G~0 continuity at the boundary.Research on multi B-spline surface deformation technology which meet G~1 continuity based on least squares optimization.Analyze the property of control vertices of isoparametric line and apply it to the transboundary tangent adjustment.The surface deformation which meet G~1 continuity is realized by adjusting the control vertices of the isoparametric line.The problem of redundant constraint removal when the two boundaries of the surface need to be spliced at the same time is studied,so that the multi-surface can maintain G~1 continuity when different geometric constraints are applied.Research on multi-B-spline surface deformation technology which meet G~1 continuity based on minimum bending energy optimization.Qualitative and quantitative comparison of the advantages and disadvantages and scope of application of two different deformation techniques.Example results show that the algorithm has achieved good results,and can be applied to surface geometric modeling.