Abstract
For color image fusion, existing traditional algorithms regard each color image pixel as a scalar which may lose the relationships among spectral channels. In this paper, a novel multi-focus image fusion algorithm using geometric algebra based Discrete Fourier Transform (GA-DFT) is proposed. First, a novel Discrete Fourier Transform based on geometric algebra (GA) is provided. Second, the proposed algorithm represents the color image as a GA multivector by mapping the RGB channels into the GA space. Third, the variance is selected as a contrast measure to fuse the source images in GA space. The experimental results demonstrate that the proposed algorithm can achieve the comparable performance with its counterparts in terms of subjective quality evaluation, and outperform most of the traditional algorithms in terms of objective quality metrics, indicating good performance in image fusion applications.
Highlights
Image fusion technology has gained extensive attention and is widely applied in many areas, e.g., medical images [1], multi-focus images [2], remote sensing images [3] and infrared images [4]
Aiming at the compatibility between geometric algebra (GA) multivector and color image, the multi-focus image fusion algorithm based on geometric algebra based Discrete Fourier Transform (GA-Discrete Fourier Transform (DFT)) is proposed, which preserves the inherent spectral structure of the color image and avoids losing color information
In this paper, a novel multi-focus image fusion algorithm based on GA-DFT is proposed, which retains the relationships among the spectral channels by representing the multi-focus image as a GA multivector
Summary
Image fusion technology has gained extensive attention and is widely applied in many areas, e.g., medical images [1], multi-focus images [2], remote sensing images [3] and infrared images [4]. Haghighat et al [18] proposed a multi-focus image fusion method based on variance and consistency verification (CV), which reduces the computational complexity and improves the fused image quality effectively. Abdollahzadeh et al [20] proposed a novel image fusion algorithm which calculated the SumModified-Laplacian (SML) in the DCT domain These methods suffer from quality loss and blocking artifacts due to the abundant errors generated. Inspired by the recent development of image fusion methods and the advantages of GA theory in various fields of image processing, we propose a novel multi-focus image fusion algorithm in GA space, which adopts GA framework to fuse multi-focus images and handles color image pixels as a multivector in a holistic manner.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
