New colour morphological operators on hypergraph

New colour morphological operators on hypergraph are proposed to avoid the loss of details caused by fixed structure element effectively. Hypergraph, the most general structure in discrete mathematics, is also a subset of a finite set. Being a structured representation of information, the ordinary image can be transformed into a hypergraph model, which can integrate hypergraph theory with mathematical morphology theory. As hypergraphs have good performance in structuring information, first of all, this study designs a reasonable algorithm for turning colour images into hypergraph space. Then based on hypergraph theory and colour distance, new colour morphological operators on hypergraph are defined. Experiments show that using the new operator can avoid the loss of detail information and the destruction of colour topology, which improve the precision of image processing.