Ring theory, a branch of abstract algebra, finds application in image segmentation by providing mathematical frameworks for analyzing and processing image structures. It is used to model pixel relationships and identify patterns in an image.
For instance, concepts from ring theory help in defining algebraic topological invariants that distinguish different image regions. These invariants are useful in segmenting images into meaningful parts, particularly in medical imaging and other high-precision fields.
While its direct use in practical segmentation is limited, integrating ring theory with other methods enhances theoretical understanding and leads to more robust algorithms in specific applications.