Threshold decomposition of gray-scale morphology into binary morphology

Recently, a superposition property called threshold decomposition and another property called stacking were introduced and shown to apply successfully to gray-scale morphological operations. This property allows gray-scale signals to be decomposed into multiple binary signals. The signals are processed in parallel, and the results are combined to produce the desired gray-scale result. The authors present the threshold decomposition architecture and the stacking property that allows the implementation of this architecture. Gray-scale operations are decomposed into binary operations. This decomposition allows gray-scale morphological operations to be implemented using only logic gates in VLSI architectures that can significantly improve speed as well as give theoretical insight into the operations