平面多边形变形的向量方法

Polygon morphing using vector representation

研究平面多边形的变形问题,提出了一种通过插值边向量间旋转角度及旋转矩阵的变形方法,较好地克服了顶点线性插值法引起的多边形边长变化不均匀的萎缩现象.该变形方法的计算量较小,变形过程较为自然,变形效果令人满意.

The polygon morphing was investigated, and a morphing method was proposed, in which the polygon is deformed by interpolating the rotation angles and rotation matrices of their corresponding edge vectors. Using this algorithm, the uneven shrinkage of edge length variation caused by vertex linear interpolation can be avoided, and the computation complexity is lowered, resulting in a kind of natural and pleasing morphing.