Hilbert曲線掃描矩陣的生成算法及其MATLAB程序代碼

王筍,徐小雙(華中科技大學控制科學與工程系，武漢 430074)

摘 要

Hilbert曲線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用.為了正確快速的生成Hilbert曲線掃描矩陣,提出了基于矩陣運算的生成Hilbert曲線掃描矩陣的新算法,并給出了MATLAB仿真語言的程序代碼,同時用數學歸納法從理論上證明了該算法的正確性.由計算機仿真可見該算法的正確性和簡單易行,最后給出了一個簡單的應用例子.

關鍵詞

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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