计算物理 ›› 2011, Vol. 28 ›› Issue (2): 283-288.
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董志芳, 伍家松, 舒华忠
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DONG Zhifang, WU Jiasong, SHU Huazhong
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摘要： 提出一种新的基于离散矩的二维离散Hartley变换(DHT)快速算法,并应用于MRI图像压缩.通过核函数的变换和泰勒展开,将二维DHT用线性离散矩加权和近似,这样可以利用一种简单的并行计算结构,适用于任意长度的序列并具有很高的计算精度,应用于MRI图像压缩,当压缩32倍时,依然具有很高的峰值信噪比.
关键词: 离散Hartley变换, 矩, 泰勒展开, 图像压缩
Abstract: We present a moment-based fast algorithm for efficient computation of two dimensional(2-D) discrete Hartley transform(DHT).With a kernel map and Taylor expansion,2-D DHT is approximated by a linear sum of 2-D discrete moments.Computation of moments is realized in an all adder systolic structure.The algorithm is efficient and suitable for dealing sequence of any length with high precision.MRI image compressions show that the method can reach high peak signal-to-noise ratios.
Key words: discrete Hartley transform, moments, Taylor expansion, image compression
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TP391
董志芳, 伍家松, 舒华忠. 一种新的二维离散Hartley变换算法[J]. 计算物理, 2011, 28(2): 283-288.
DONG Zhifang, WU Jiasong, SHU Huazhong. An Algorithm for Two-dimensional Discrete Hartley Transform[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2011, 28(2): 283-288.
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http://www.cjcp.org.cn/CN/Y2011/V28/I2/283
