分形拼贴画  

Fractal Collage

作　　者：律睿慜[1] 孙守迁[1] 曾宪伟[1] 苏延辉[2] 

机构地区：[1]浙江大学现代工业设计研究所,杭州310027 [2]浙江大学CAD&CG国家重点实验室,杭州310027

出　　处：《计算机辅助设计与图形学学报》2012年第5期583-589,共7页Journal of Computer-Aided Design & Computer Graphics

基　　金：国家自然科学基金(61070075);国家自然科学基金(61004116);温州市科技计划项目(G20090011)

摘　　要：针对以往的分形图形创作中难以预先设计图形的整体布局的困难,提出分形拼贴画技术.用户首先交互地设计分形拼贴画的整体布局并指定关键的细节特征,进而构造2类图元:取样图元及分形图元.每个图元对应画面的某个四边形小网格,且每个分形图元对应一个取样图元.然后,启动分形拼贴画的分形运算,即分形图元迭代地通过其对应的取样图元对画面进行取样,并进行图像处理,再显示于自身的网格.该方法允许对分形拼贴画设定不同的初始状态,从而生成细节多样化、富于美感且符合最初构图的分形图案.Designing the general layout of fractal images is a challenging task for existing fractal generating algorithms.This paper proposes a new approach,called fractal collage.Firstly,the user can visually design the general structure of a fractal collage and specify its essential details.The fractal collage is a 2D graph which consists of an array of quadrilateral sampling patches and fractal patches.Each fractal patch corresponds to a sampling patch.After the user manually specifies the dynamics of the fractal collage,each fractal patch recursively samples the collage by leveraging its associated sampling patch,followed by an image filtering operation.This scheme allows the user experiment with different initial conditions,yielding varied results that conform to the designed general structure but differ significantly in detail.Compared to previous solutions,the proposed fractal collage approach can efficiently generate aesthetically appealing fractal images.

关 键 词：分形 拼贴画 四边形网格 混沌 平面变形 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]