基于球面调和映射的三维产品形态融合方法研究

三维产品形态的创新设计在产品造型设计中具有重要的地位，是提高产品竞争力的重要手段。基于球面调和映射，提出一种新算法，在两个产品之间实现形态的变形，进而产生多种产品形态。首先对两个三维产品形态划分三角网格; 然后将网格化的产品形态嵌入到一单位球面上，生成嵌入体模型，该嵌入体与其三维产品形态有着相同的拓扑结构；最后将这两个嵌入体融合，在两个形态之间建立一种对应关系，通过线性插值生成一系列的中间形态。以两个不同形态的鼠标基体模型为例进行实验研究，结果表明该算法对于产品形态的融合具有很好的适用性。在计算机辅助产品形态造型设计中将具有良好的应用前景。

Research on 3D Product Shape Merging Technology Based on SphericalHarmonic Map

The 3D product shape innovation design has played an important role in productstyling design, which is an important way to improve the product competitivity. A new algorithmto realize shape metamorphosis between two products based on Spherical Harmonic Map ispresented, which will generate several product shapes. Two 3D product shapes are firstly dividedby triangular meshes. Then the meshed product shapes are embedded to a unit sphere and generatethe embedding models, which have the same topological structure as their 3D product shapes. Bymerging two embedded models, a corresponding relation between two shapes can be established.The intermediate shapes between two products are easily generated with the linear interpolationmethod. An experimental study is presented with merging two different mouse prototypes. Theresult shows that the algorithm is adapted to the product shape merging, which will have a betterapplication prospect in innovation design of computer aided product styling.