Table 2 Existing image fusion methods.

From: Similarity measure for intuitionistic fuzzy sets and its applications in pattern recognition and multimodal medical image fusion

Ref

Technique

Advantages and limitations

Spatial domain methods

 Wang and Xing14

Principal Component Analysis (PCA)

Simple and quick to implement. Images

must be converted into 1-D vectors

resulting in loss of row-column correlation

 Nawaz et al.55

2D-PCA

Address the shortcomings of PCA without

the necessity for vectorization beforehand

 Calhoun and Adali56

Independent component analysis (ICA)

Finds statistically independent vectors in a

linear generative model, can represent visual

characteristics more accurately

 Liu et al.15

Sparse representation (SR)

based methods

Failed to accurately capture small details like

edges and textures, require computing power

and are time-consuming, Noise prone

Transform-domain approaches

 Wang et al.49

Wavelet Transform (WT)

Analyze the direction of the frequency sub-

band in image fusion. Efficiently combine

images while preserving both time and

frequency information. Does not effectively

capture the diverse directional aspects

present in the scene being fused

 Suriya and Rangarajan19

Discrete wavelet transform (DWT)

Loses shift-invariance because of the down-

sampling process. Better at distinguishing high

frequencies from low frequencies. Lacks

translation invariance, presence of artifacts

like aliasing and inconsistent directional

leading to a phenomenon known as

pseudo-Gibbs

 Jin et al.17

Pyramid transform (PT)

Easy frequency-domain fusion

approaches. Produce unwanted

edges and suffer from blocking artifacts

 Mankar and Daimiwal50

Contourlet transforms (CoT)

Improve wavelets isotropic quality and

capture intrinsic geometrical elements

of the image

 Guo and abate51

Shearlet transform (ST)

Address the directionality issue, Less

susceptible to shift-invariance due to the

subsampling process

Hybrid approaches

 Atyali and Khot24

Principal component Analysis-Discrete

wavelet transform (PCA-DWT)

Hybrid method of PCA and DWT, failed to

capture the details of both the source images

in the fused image

 Li et al.53

Coupled neural P-multi-modality

medical images (CNP-MIF)

Integration of Coupled neural P (CNP) system

and non-subsampled ST (NSST), fall short in

delivering adequate contrast

 Li et al.54

Dynamic threshold neural P

systems-multi-modality medical

images (DTNP-MIF)

Integration of DTNP and non-subsampled CoT

(NSCT), limited to multi-modality images only,

higher computational complexity

 Wang et al.16

Multi-dictionary Linear Sparse

Representation and Region Fusion

Model (MDLSR-RFM)

Introduced MDLSR for focus detection in the

source image and introduced a RFM for

boundary region fusion. It does not maintain

the critical features of the source images and

produces unwanted artifacts, leading to the

distortion of local features

Intuitionistic fuzzy based methods

 Balasubramaniam and Ananthi25

Based on Vlachos and Sergiadis37 IF entropy

This method is used to eliminate ambiguity but

does not address all uncertainties. It does not

effectively retain the key features of the

source images

 Palanisami et al.13

Sugeno complements and IF entropy-based

method

Due to the complexity of the steps in this

method, the computational cost is slightly high

 Jiang et al.12

Gaussian filtering and IF entropy-based

method

IF entropy is utilized for fusing detailed images,

and a simple binary decision map is generated,

which fails to effectively preserve the details of

the base images in the fused image

 Jiang et al.3

IFSM and Laplacian pyramid

decomposition

The IFSM used in this method exhibits

drawbacks; it yields counter-intuitive results

and fails to discern variations in membership

and non-membership values, which affect the

outcomes of image fusion