三维分形变形中IFSP的规范形式算法

考虑原始概率向量定义三维IFSP 的规范形式,并给出了相应规范变换计算的定理证明。运用到三维分形变形的实例表明了该算法研究的必要性,使得变形过程保持了仿射不变性,进一步充实了三维变形理论,为其发展及应用提供了坚实的基础。
关键词: 分形变形;迭代函数系统;三维规范变换
2 (The Key Laboratory of Contemporary Design and Integrated Manufacturing Technology,
Ministry of Education, Northwestern Polytechnic University, Xi’an 710072) Abstract At first the three-dimensional IFSP canonical form with original probability vector is defined, and then the theorem about the calculation of the corresponded canonical transformation is given. Experiments on morphing of three-dimensional fractal attractors with interpolation show
the necessity of this algorithm’ research and it makes the morphing process keep affine stability. This algorithm will enrich the theory of the three-dimensional morphing ulteriorly and provide the foundation of its developments and applications.
Keywords fractals’ morphing; IFS; the 3D canonical transformation