mandelbrot 中文意思是什麼
mandelbrot
解釋
分形圖形-
Chapter two study iteration of a serial of polynomial, discussed the sufficient and necessary conditions and denseness of the julia set, the relative random dynamical system is constructed by some high degree polynomial. in addition, it discuss the mandelbrot set of a kind of polynomial
本文的第二章主要研究多個函數的特定迭代序列，討論了高次多項式的隨機復動力系統的julia集的連通的充分必要條件以及稠密性問題，同時還討論了一類多項式函數的mandelbrot集。 -
This paper introduces principle of fractal and the mandelbrot fractal theory. it analyze the fractal character and study the mltifractal for the clutter tracking. in according to the rage which follow the q on point fractal dimension and region fractal exponent. we confirm the prepreerence multifractal high moment, combining the clutter feature of pd radar and novel multifractal approach, the mainlobe clutter tracking come true
以單點分形維數和區域分形指數隨q值的變化程度為標準，確定了多重分形最優高階矩數，結合pd雷達的雜波特性和多重分形演算法，實現了主瓣雜波跟蹤;研究了貪婪snake方法在雜波跟蹤中的應用，介紹了snake基本模型的能量函數，並分析幾種常用的snake模型的離散能量函數。 -
Given the name “ fractals ” by their discoverer, benoit mandelbrot, the new forms looked nothing like traditional euclidean shapes
這種圖像與傳統歐氏空間中的形體有天壤之別，它們的發現者曼德布洛稱之為碎形。 -
In virtue of the knowledge related to fractal theory, all fractals algorithms in the paper have already been realized on computer, such as mandelbrot sets, julia sets, l system and iterated function system, etc. and their fractal figures have been drawn. meanwhile, to obtain a better visual effect and simulate actual natural scene, software adopts the real color and color palette to enrich figures, and color animated cartoon to change them. to show the self - similarity and infinitive tractility of fractal figures, partial zoom has been made on them
本文運用分形理論實現多種分形演算法，在計算機上生成mandelbrot集， julia集， l系統， ifs迭代函數系統等典型的分形圖形，同時運用真彩色及調色板技術豐富圖形的色彩，實現了色彩動畫，使其更真實的模擬自然景物；運用鼠標編程技術實現對圖形局部的放大和縮小，體現分形圖形的自相似性和無限延展性；提供多組參數，利用分形圖形的混沌特性，通過微小的參數變化，生成完全不同的分形圖形。 -
At the end of the last century, c. j. yoccoz is made significant contributions to the theory of complex dynamics, one of which is the study of the local connectivity of the julia sets of quadratic polynomials pc ( z ) = z2 + c and the mandelbrot set m. in his work
C yoccoz對復動力系統理論作出了重要的貢獻，其中之一就是對二次多項式pc （ z ） = z ~ 2 + c的julia集和mandelbrot集m的局部連通性的研究。在他的工作中， yoccoz引進了一種強有力的方法? ?拼圖技巧。 -
Mandelbrot b. b. enunciated the uncertainty of the length of a coastline in his paper " how long is the coastline of british ? " published in " science " in 1967. the fractal concept was presented for the first time in that paper and has been applied to many fields ever since
分形理論作為二十世紀七十年代世界科學的三大發現之一，自其產生之日起就在包括地理學在內的眾多學科領域中取得了較為廣泛的應用。 -
In the dissertation, author reviews the developed history and presents situation of fractal theory, and introduces mandelbrot " s theory of fractal and primary conception of image segmentation, makes a comparison among some fractal models and some methods to acquire the fractal dimension of a image in complexity and applicability, advances a kind of new differential box counting ( dbc ) method, in which scale of box is variable adaptively
本文回顧了分形理論的發展歷史和現狀，介紹了b . b . mandelbrot分形理論以及圖像分割的基本概念，比較了圖像的幾種分形模型以及適用性能不同的分形維數計算方法，提出了一種新的計算分形維數的變尺度差分盒維法。 -
This paper is devoted to seeking formulas and rules of representation for generating new fractal graphics. the main works are as followed : ( l ) construct new formulas for new fractal aspects after revisited methods for the visualisation of mandelbrot and julia sets based on ifs, we described the other new formulas originating from z z2 + c. including norton and polynomials iterated function, which have integer index instead quadratic index, we also constructed formulas with complex number index. 3 - d dynamical system is discussed then. besides the most widely used sequential visualisation methods, we designed two methods to change the original vectors and get new graphics with special effects
在對公式指數的推廣中，包括指數為整數的牛頓迭代法和多項式迭代法，還包括指數為復數的迭代公式；在離散動力系統的吸引子生成演算法討論中，將復數z向高維空間推廣，重點論述了生成了三維離散動力系統吸引子的收斂條件，實現了此吸引子對應的三維空間向量在平面上的投影圖的條件；還討論了迭代前對初值點進行兩種不同變換對得到的分形圖形的影響，以及這兩種變換組合圖形的生成。
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