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Advances in Radiotherapy
            & Nuclear Medicine                                                    Image fusion’s significance in medicine



            combined the IHS model with Log-Gabor transform and   distribution in each input image. Subsequently, it employs
            proposed a new method for fusing MRI and PET, using   a set of decision rules, such as maximum a posteriori,
            IHS to decompose PET images into three basic features:   maximum likelihood, and expectation, to determine the
            Hue, saturation, and intensity. This approach effectively   final value of each pixel. The fusion rules of this approach
            preserves the structure and details of the source image and   rely on statistical analysis and decision theory, enabling it
            reduces color distortion.                          to fully utilize the information from each input image. As
                                                               a result, decision-level image fusion improves the quality
            2.2. Frequency fusion                              and robustness of the fusion results .
                                                                                           [17]
            Frequency image fusion methods are based on the      A non-parametric Bayesian technique is considered to
            principles of Fourier transform. These methods involve   learn dictionaries and mappings for two feature spaces .
                                                                                                           [18]
            transforming images from the spatial domain to the   In the proposed method, dictionaries for two feature spaces
            frequency domain. The fusion algorithm is then applied to   and the mapping between them are adaptively obtained
            the transformed images, and the inverse Fourier transform   from input PET and MR images. This algorithm not only
            is performed to obtain the synthesized fusion image.   learns the dictionaries for each feature space separately but
            Frequency fusion techniques can be further classified into   also considers the relation between two feature spaces. This
            pyramid and transform-based methods . Compared to   relation helped establish a proper connection between two
                                            [13]
            spatial  fusion  methods,  the  frequency  fusion  method  is   different input images.
            more complex, but it offers the advantage of reducing the
            distortion of the fusion image.                    2.4. Sparse representation fusion
              Liu et al.  proposed a medical image fusion algorithm   Sparse  representation  fusion  combines  sparse
                     [14]
            based on multiwavelet transform for PET/CT fusion. The   representation theory and image fusion, making it a
            experimental results demonstrated that the fusion image   highly effective medical image fusion method. The
            integrates information from the  source  images,  adding   method operates on the assumption that an image can
            more details and texture information and ultimately   be represented linearly using a small number of atoms
            achieving a good fusion result. Haribabu et al.  proposed   (such as the basis vectors in a dictionary). Initially, the
                                                [15]
            a new approach for PET-MRI image fusion using wavelet   input images are decomposed into a set of coefficients,
            and spatial frequency methods. This algorithm addresses   representing linear combinations of the basis vectors in the
            the issues of image imbalance and blurred phenomena   dictionary. Subsequently, these coefficients are combined
            often encountered infusion images, improving clarity   to generate fusion coefficients, which produce the fused
            and providing more reference information for medical   image. By utilizing only a small subset of the basis vectors,
            professionals.                                     this method excels at preserving the features of the original
                                                               images while reducing the influence of image distortion
              In addition to transform-based methods, the pyramid   and noise .
                                                                       [19]
            technique is also commonly used in image fusion. This
            technique decomposes the original image into multiple   Zong and Qiu [20]   developed a new fusion scheme
            scales, fuses the corresponding scales, and then reconstructs   for  medical  images  based on  a sparse  representation of
            to obtain the fused image. During this process, Gaussian   classified  image  patches.  To  achieve  this,  image  patches
            pyramid (GP) and Laplacian pyramid (LP) are typically   are first classified according to their geometrical gradient
            employed for image decomposition and reconstruction.   direction. Subsequently, multi-class dictionaries are
            Sahu et al. [16]  proposed an algorithm that utilizes LP with   trained within each class using the online dictionary
            discrete cosine transformation (DCT). The LP decomposes   learning (ODL) algorithm.
            the input image into different low-pass images, creating a   2.5. Hybrid fusion
            pyramid-like structure. As the pyramid levels increase, the
            quality of the fusion image improves, thus enhancing the   Considering the limitations of traditional image fusion
            edges and information. In both quantitative and qualitative   methods, hybrid methods have gained popularity.
            analyses, this method outperformed Daubechies complex   Hybrid methods involve combining two or more fusion
            wavelet transform (DCxWT), producing excellent fusion   techniques, such as spatial fusion and frequency fusion, to
            results.                                           utilize information from different domains and improve
                                                               the image quality and lesion detection capabilities.
            2.3. Decision-level fusion
                                                                         [21]
                                                                 Zhu et al.  decomposed source multi-modality images
            Decision-level image fusion treats the value of each   into cartoon and texture components. They proposed a
            pixel as a random variable and calculates its probability   proper spatial-based method for preserving morphological


            Volume 1 Issue 2 (2023)                         4                       https://doi.org/10.36922/arnm.0870
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