Heteroassociative morphological memories based on four-dimensional storage

The heteroassociative morphological memories (HMMs) are one kind of morphological associative memories (MAMs). Although they have many advantages, there is a serious shortcoming: HMMs are incomplete, that is, they cannot give a guarantee of perfect recall memories, even though without any input noises. This problem has become a bottleneck in the development and applications of HMMs, and also one of difficult subjects in this field. Aiming at the problem, this paper presents a new method of HMMs, called four-dimensional stored HMMs (FDSHMMs). It includes three work stages: pretreatment, memory, and recall. Both computational method and experimental method show that FDSHMMs can significantly improve the HMMs. They can guarantee perfect recall memories for perfect inputs or within a certain noise range, just like the auto-associative morphological memories (AMMs) can do. FDSHMMs remove the bottleneck of HMMs and bring us a bright prospect of applications.