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摘 要：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#br# 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#br# 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#br# 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#br# 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#br# 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#br# 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#br# 景。#br# 关 键 词：产品造型；三维形态；球面调和映射；融合
Abstract: The 3D product shape innovation design has played an important role in product#br# styling design, which is an important way to improve the product competitivity. A new algorithm#br# to realize shape metamorphosis between two products based on Spherical Harmonic Map is#br# presented, which will generate several product shapes. Two 3D product shapes are firstly divided#br# by triangular meshes. Then the meshed product shapes are embedded to a unit sphere and generate#br# the embedding models, which have the same topological structure as their 3D product shapes. By#br# merging two embedded models, a corresponding relation between two shapes can be established.#br# The intermediate shapes between two products are easily generated with the linear interpolation#br# method. An experimental study is presented with merging two different mouse prototypes. The#br# result shows that the algorithm is adapted to the product shape merging, which will have a better#br# application prospect in innovation design of computer aided product styling.#br# Key words: product styling; 3D shape; spherical harmonic map; merging
摘要： 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。
