基于增量式迭代变换的蜡染图形渐变算法

针对蜡染图形创新, 提出一种基于增量式迭代变换法的图形渐变方法, 即在不受特征点集对应的约束下, 实现两个平面图形之间自然、平滑渐变。该方法采用迭代渐变的思想, 对图形进行矢量预处理, 并分别在源矢量图形和目标矢量图形上采样一组几何特征点, 通过等分弧长对应的规则把两个图形进行权重归中, 对采样的节点求全局最小二乘进行特征匹配与映射, 再通过增量式迭代变换法得到一系列渐变中间图形。计算机仿真结果表明, 此算法能够较好地实现非特征对应的图形渐变, 达到过渡自然、平滑的目的。

Batik graphics morphing algorithm based on increment iterative transformation

For the realization of morphing naturally and smoothly between two 2D shape, this paper presented a graphics morphing method based on the increment iterative transformation, and this graphics applied to the situation that the feature was not correspond between two shapes. In contrast to the existing methods, the proposed method pretreated the graphics firstly, then sampled a set of feature points from the source graphics and target graphics, and weighted and normalized the two graphics, obtained the global least squares series based on the samples and corresponding, matched them, after that generated a series of metamorphosis graphics by increment iterative transformation method. Computer simulation results show that the result gotten from the algorithm can avoid atrophy and twisted of metamorphosis graphics, and achieve the transition naturally and smoothly.