分形曲线曲面的分形插值法及其与随机生成法比较  

The fractal interpolation methods of fractal curves and surfaces and comparison with randomly generated methods

作　　者：张先波[1] 杨文颖[1] 

机构地区：[1]三峡大学理学院,湖北宜昌443002

出　　处：《黄冈师范学院学报》2010年第3期31-36,共6页Journal of Huanggang Normal University

摘　　要：给出了矩形域上的分形插值数学模型,分形插值曲线曲面的MATLAB程序.应用实际的数据进行了分形插值曲线曲面的研究,并与随机生成法做了比较.这对直观显示复杂物体的几何形态,研究具有分形特征的地形地貌,断层表面和材料裂缝表面等,具有重要的理论意义和实用价值.The fractal interpolation mathematical model at rectangular domain 1,and interpolation curves and surfaces of the MATLAB program are given.Application of the actual data from the fractal interpolation of curves and surfaces are studied.The results are compared with that of the randomly generated method.Our research has significance to the visual display of complex geometric patterns,and to the research of topography with fractal characteristics,fault surfaces,and the surface cracks of materials,both in theory and reality.

关 键 词：分形几何 分形插值 MATLAB语言 程序设计 

分 类 号：O241.3[理学—计算数学]