机构地区: 华南理工大学
出 处: 《图学学报》 2012年第6期59-64,共6页
摘 要: 论文提出了一种以Weierstrass-Mandelbrot分形(简称W-M分形)与参数曲面相合成来实现分形曲面的数字化建模的方法。指出了在参数曲面上合成W-M分形以及实施弧长参数化计算的必要性;论述了弧长参数化的具体算法,并用此方法实现了W-M分形与参数曲面的合成;在此基础上,提出了两向异性分形曲面的一种建模方法,实现了参数曲面上进行两向异性W-M分形的插值模拟。 A method of modeling W-M fractal freeform surfaces by superposing W-M fractals on parametric surfaces is proposed in this work.First,the significance of superposing W-M fractals with parametric curves and surfaces is pointed out;then the importance of utilizing arc-length parameterization for the superposing is described,and followed by our specific algorithm with which the fractal simulation with freeform surfaces is achieved;at the last section,an anisotropic approach for presenting freeform fractal surfaces is developed and with demonstrated graphics simulation.
领 域: [一般工业技术]