基于VTK分形理论的研究
摘要
分形理论是一种新兴的几何学,在多种学科中都有着广泛的应用。可视化图形工具包是一个功能强大的可视化和图形图像处理类库。运用VTK流水线进行图形以及三维渲染可使现阶段的分形理论研究可视化,实现分形图形的逼真模拟。在分析分形理论基本算法的基础上,借助VTK设计二维和三维分形图形绘制的渲染流水线,提供生成分形图形和三维分形实体的一种新方法,并以典型的分形集合(曼德尔伯特集)为例,显示渲染效果。
As a new developed geometry, fractal theory is widely used in many subjects. The visualization toolkit (VTK) is a class library for 3D computer graphics, image processing, and visualization. Using VTK pipeline to render the graphics and 3D models enable the visualization of the research on the fractal theory, the pipeline can stimulate the fractal graphics reality. Based on analyzing the algorism of fractal theory, designs a rendering pipeline to render 2D and 3D fractal graphics, provides a new method to generate fractal graphics and 3D models using VTK, and render the Mandelbrot set as an example.
As a new developed geometry, fractal theory is widely used in many subjects. The visualization toolkit (VTK) is a class library for 3D computer graphics, image processing, and visualization. Using VTK pipeline to render the graphics and 3D models enable the visualization of the research on the fractal theory, the pipeline can stimulate the fractal graphics reality. Based on analyzing the algorism of fractal theory, designs a rendering pipeline to render 2D and 3D fractal graphics, provides a new method to generate fractal graphics and 3D models using VTK, and render the Mandelbrot set as an example.
引文
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[2]W.Schroeder,K.Martin,and W.Lorensen.The Visual-ization Toolkit:An Object-Oriented Approach to3D Graphics,2nd ed.,Prentice-Hall,Old Tappan,N.J.,1998
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[8]孙博文.分形算法与程序设计[M].北京:科学出版社,2004
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[2]W.Schroeder,K.Martin,and W.Lorensen.The Visual-ization Toolkit:An Object-Oriented Approach to3D Graphics,2nd ed.,Prentice-Hall,Old Tappan,N.J.,1998
[3]C.Upson et al.The Application Visualization System:A Computational Environment for Scientific Visualization[J].IEEE Computer Graphics and Applications,Vol.9,No.40,July1989,30~42
[4]Data Explorer Reference Manual,IBM,Armonk,New York,1991
[5]IRIS Explorer User’s Guide,Numerical Algorithms Group,Oxford,UK,2000
[6]H.Pfister et al.The VolumePro Real-Time Ray-Casting System[M].Proc.Siggraph99,ACM Press,New York,Aug.1999,251~260.
[7]陈颙,陈凌.分形几何学[M].第2版.北京:地震出版社,2005
[8]孙博文.分形算法与程序设计[M].北京:科学出版社,2004
[9]Sabe P.A Rendering Algorithm for Visualization3D Scalar Fields[J].Computer Graphics,1988,22(4):51~58.
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