Hilbert曲線(xiàn)掃描矩陣的生成算法及其MATLAB程序代碼

王筍,徐小雙(華中科技大學(xué)控制科學(xué)與工程系，武漢 430074)

摘 要

Hilbert曲線(xiàn)是一種重要的圖像處理工具,在圖像處理,特別是圖像掃描中廣泛應(yīng)用.為了正確快速的生成Hilbert曲線(xiàn)掃描矩陣,提出了基于矩陣運(yùn)算的生成Hilbert曲線(xiàn)掃描矩陣的新算法,并給出了MATLAB仿真語(yǔ)言的程序代碼,同時(shí)用數(shù)學(xué)歸納法從理論上證明了該算法的正確性.由計(jì)算機(jī)仿真可見(jiàn)該算法的正確性和簡(jiǎn)單易行,最后給出了一個(gè)簡(jiǎn)單的應(yīng)用例子.

關(guān)鍵詞

A New Algorithm of Hilbert Scanning Matrix and its MATLAB Program

WANG Sun, XU Xiao-shuang,WANG Sun, XU Xiao-shuang()

Abstract

As an important image-processing tool, Hilbert curve is widely used in image processing, especially in image scanning. To produce the curve correctly and quickly, a new algorithm of Hilbert curve based on matrixes is presented with its MATLAB program, and is proved by means of mathematic induction. The latter numeral simulations also illustrate the correctness and feasibility of the algorithm in the paper. An application example of the algorithm is given in the end.

Keywords

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