1-D and 2-D digital fractional-order Savitzky-Golay differentiator

被引：28

作者：

Chen, Dali ^{[2
]}

Chen, YangQuan ^{[1
]}

Xue, Dingyu ^{[2
]}

机构：

[1] Utah State Univ, CSOIS, Dept Elect & Comp Engn, Logan, UT 84322 USA

[2] Northeastern Univ, Coll Informat Sci & Engn, Shenyang 110006, Liaoning, Peoples R China

来源：

SIGNAL IMAGE AND VIDEO PROCESSING | 2012年 / 6卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Fractional-order derivative; Digital differentiator; Savitzky-Golay filter; Image enhancement; DESIGN; APPROXIMATION; DERIVATIVES;

D O I：

10.1007/s11760-012-0334-0

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

In this paper, the one-dimension digital fractional-order Savitzky-Golay differentiator (DFOSGD), which generalizes the Savitzky-Golay filter from the integer order to the fractional order, is introduced and extended to 2-D by a group of direction operators. Then, a new image-enhancing algorithm is proposed based on the 2-D DFOSGD, and an unsupervised optimization algorithm is proposed for choosing the fractional-order parameter. Four numerical experiments are used to assess the performance of 2-D DFOSGD-based image-enhancing algorithm, and the results demonstrate its validity.

引用

页码：503 / 511

页数：9

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