基于集合与随机分形的雕刻图形创成机理的研究

应用科学学报 ›› 1998, Vol. 16 ›› Issue (2): 200-208.

基于集合与随机分形的雕刻图形创成机理的研究

邓中亮

北京邮电大学

收稿日期:1996-09-14 修回日期:1997-01-31 出版日期:1998-06-30 发布日期:1998-06-30
作者简介:邓中亮:副教授,北京邮电大学机械电子工程系,北京 100088
基金资助:
国家自然科学基金

Research on Generating Mechanism of Engraving Graphics with Set and Random Fractal

DENG ZHONGLIANG

Beijing University of Posts & Telecommunications Beijing 100088

Received:1996-09-14 Revised:1997-01-31 Online:1998-06-30 Published:1998-06-30

摘要/Abstract

摘要： 提出了用集合分形与随机分形这两种分形方法来创成复杂的雕刻图形,通过控制分形原始模型、分形规则、变换规则或映射规则等,便可实现对雕刻图形的控制.利用映射方法可将二维平面雕刻图形映射到三维雕刻基体甚至更复杂的雕刻基体上,以雕刻出三维以上的雕刻图形.

关键词: 集合分形, 雕刻图形, 随机分形

Abstract: The generating methods of engraving graphics with set or random fractal are put forward in this paper.The engraving graphics can be controlled by the original fractal model,rules of fractal, translation and mapping.With mapping method,the engraving graphics on a plane can be translate into a trimensional graphics on an object with a complex surface.Because of the self-similarity,fine structure and iteration of the fractal,the stored information quantity for graphics can be reduced.Our methods can be used to generate the tool path for engraving and get a good artistic style.

Key words: set fractal, random fractal, engraving graphics

邓中亮. 基于集合与随机分形的雕刻图形创成机理的研究[J]. 应用科学学报, 1998, 16(2): 200-208.

DENG ZHONGLIANG. Research on Generating Mechanism of Engraving Graphics with Set and Random Fractal[J]. Journal of Applied Sciences, 1998, 16(2): 200-208.