Applications of Chaos and Fractal Theories in the Field of Electromagnetic Scattering

Chen, Qi; Zhuang, Yuan; Zhang, Huixin; Sai, Qi

doi:10.1007/978-3-642-37105-9_7

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Mathematical Foundation Of Julia Set1

Introduction1

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“…Julia set [1][2] is a complex set produced by complex variables functions c z z f + = 2 ) ( on a complex plane with iteration. The iterative procedure is normally written as formula (1).…”

Section: Mathematical Foundation Of Julia Setmentioning

confidence: 99%

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Pattern Generation Based on Julia Set and its Application in the Design of Seamless Underwear Products

Chen

Zhang

2011

AMR

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In order to improve the design capacity of knitted fabric pattern and explore new design thought, this article studies the fractal image generation of Julia set and applies it into the pattern design of seamless underwear products. It adopts VB programming to generate Julia set pattern based on escape time algorithm, and then uses part imaging and amplification or changes the function orders to get a lot of colorful patterns. When these generated patterns are imported under the help of Photon software, color part in the patterns will be replaced with pre-designed fabric patterns and finally comes with patterns identifiable to seamless underwear knitting machine. Such method greatly expands the design thoughts of seamless underwear products.

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“…Julia set [1][2] is a complex set produced by complex variables functions c z z f + = 2 ) ( on a complex plane with iteration. The iterative procedure is normally written as formula (1).…”

Section: Mathematical Foundation Of Julia Setmentioning

confidence: 99%

“…Julia set (J set for short) [1][2] is a very important fractal set developed by French mathematicians Julia and Fatou on the bases of complex function iteration theory. With Julia set as the base, it can generate a lot of colorful patterns in the computer.…”

Section: Introductionmentioning

confidence: 99%

Pattern Generation Based on Julia Set and its Application in the Design of Seamless Underwear Products

Chen

Zhang

2011

AMR

View full text Add to dashboard Cite

show abstract

Applications of Chaos and Fractal Theories in the Field of Electromagnetic Scattering

Cited by 1 publication

References 17 publications

Pattern Generation Based on Julia Set and its Application in the Design of Seamless Underwear Products

Pattern Generation Based on Julia Set and its Application in the Design of Seamless Underwear Products

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