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| ·基于频域扰动的分形艺术图案模拟及处理 |
李海燕,
刘 兵, 梁 勇, 李天牧 云南大学学报(自然科学版)1999年 第21卷 第5期 VoL.21 No.5 1999
摘
要
根据分形理论用计算机模拟一些美丽、奇异的艺术图形,并把分形理论与数字图像处理技术结合起来,使生成的分形图形可人工干预,并创新地提出了对分形图形频域扰动的技术,以产生协调自然,丰富多彩,并具有较高艺术性的艺术图案.
关键词 分形;数字图像处理;频域扰动
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| ·分形几何在图案设计中的应用 |
孙清华 西北纺织工学院学报
2000 Vol.14 No.2 P.154-157
摘 要 讨论了分形几何在图案设计中应用的可能性,重点讨论了自相似集在图案设计中的应用.
关键词 分形几何;图案设计;自相似集
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·奇Logistic函数产生的地毯图案 |
叶瑞松 计算机辅助设计与图形学学报
1999 Vol.11 No.5 P.407~408
摘 要
由迭代函数系统可以产生地毯图案,这是由于迭代函数系统的随机性选择而产生的分形图形;在这篇注记里,我们从不同的角度,利用确定的简单奇Logistic函数的动力系统所特有的混沌性质在计算机上生成了地毯图案.
关键词 奇Logistic函数, 地毯, 混沌
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| ·Fractals,
Chaos, and Music |
Abstract Many relations have been
discovered in recent years between fractals and music. This
paper will cover some of the research that has been done on
these relations, including some of the controversies over
conflicting discoveries. It will show how some artists are
currently using fractals to generate the basic melodies in their
compositions. A few computer programs which can be used to
generate these melodies will be discussed. This paper will also
examine possible practical uses for software which can be used
to hear patterns in fractals. The algorithms behind the
music-generating algorithms will be discussed, as well as some
of the basic relations between mathematics and music. Some of
the work of music theorist Joseph Schillinger, whose ideas in
the 1920's and 1930's about generating music by recursive and
chaotic means were far ahead of their time, will also be
covered.
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