Image registration (IR) is a process that deforms images to align them with
respect to a reference space, making it easier for medical practitioners to
examine various medical images in a standardized reference frame, such as
having the same rotation and scale. This document introduces image registration
using a simple numeric example. It provides a definition of image registration
along with a space-oriented symbolic representation. This review covers various
aspects of image transformations, including affine, deformable, invertible, and
bidirectional transformations, as well as medical image registration algorithms
such as Voxelmorph, Demons, SyN, Iterative Closest Point, and SynthMorph. It
also explores atlas-based registration and multistage image registration
techniques, including coarse-fine and pyramid approaches. Furthermore, this
survey paper discusses medical image registration taxonomies, datasets,
evaluation measures, such as correlation-based metrics, segmentation-based
metrics, processing time, and model size. It also explores applications in
image-guided surgery, motion tracking, and tumor diagnosis. Finally, the
document addresses future research directions, including the further
development of transformers