基于集合与随机分形的雕刻图形创成机理的研究

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.

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

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.