基于分数阶微分的多尺度多聚焦图像融合

doi:10.12068/j.issn.1005-3026.2021.08.002

东北大学学报（自然科学版） ›› 2021, Vol. 42 ›› Issue (8): 1071-1078.DOI: 10.12068/j.issn.1005-3026.2021.08.002

基于分数阶微分的多尺度多聚焦图像融合

张雪峰，何昊

(东北大学理学院，辽宁沈阳110819)

修回日期:2021-01-13 接受日期:2021-01-13 发布日期:2021-09-02
通讯作者: 张雪峰
作者简介:张雪峰(1966-)，男，辽宁辽阳人，东北大学副教授.
基金资助:
国家重点研发计划项目(2020YFB1710003).

Multi-focus Image Fusion with Multi-scale Based on Fractional Order Differentiation

ZHANG Xue-feng， HE Hao

School of Sciences， Northeastern University， Shenyang 110819， China.

Revised:2021-01-13 Accepted:2021-01-13 Published:2021-09-02
Contact: ZHANG Xue-feng
About author:-
Supported by:
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摘要/Abstract

摘要： 针对多聚焦图像融合问题，借鉴多尺度融合方法对各个尺度的互补信息进行针对性融合.首先，运用L_○0梯度最小化的平滑方法将源图像分解为背景层和细节层，然后在背景层的融合中运用分数阶边缘检测掩模保持边缘信息，在细节层中引入分数阶梯度能量算子进行权值分配.实验结果表明，与整数阶梯度能量清晰度算子相比，本文所提出的分数阶梯度能量算子符合人眼视觉感知且更加敏锐.上述融合方法有效避免了融合图像中的伪影和块状效应，更加充分地保留了源图像信息.

关键词: 多聚焦图像;图像融合;分数阶微分;多尺度方法

Abstract: Aiming at multi-focus image fusion， the complementary information at each scale is fused in a targeted manner using a multi-scale fusion method. First， the source image is decomposed into a background layer and a detail layer using the L_○0 gradient minimization smoothing method， and then a fractional-order edge detection mask is used to preserve the edge information in the background layer， and a fractional-order gradient energy operator is introduced in the detail layer for weight assignment. The experimental results show that the proposed fractional-order gradient energy operator is more sensitive than the integer-order gradient energy clarity operator， which is consistent with the human visual perception. The fusion method proposed effectively avoids artifacts and block effects in the fused images， and retains the source image information more fully.

Key words: multi-focused image; image fusion; fractional order differentiation; multi-scale approach

中图分类号:

TP751.1

张雪峰，何昊. 基于分数阶微分的多尺度多聚焦图像融合[J]. 东北大学学报（自然科学版）, 2021, 42(8): 1071-1078.

ZHANG Xue-feng， HE Hao. Multi-focus Image Fusion with Multi-scale Based on Fractional Order Differentiation[J]. Journal of Northeastern University(Natural Science), 2021, 42(8): 1071-1078.

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基于分数阶微分的多尺度多聚焦图像融合

Multi-focus Image Fusion with Multi-scale Based on Fractional Order Differentiation

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