= Digital Morse theory
{wiki=Digital_Morse_theory}
Digital Morse theory is a branch of applied mathematics and computational topology that extends classical Morse theory to discrete structures, such as digital images or simplicial complexes. Classical Morse theory, developed by Marcellus Morse in the 1930s, studies the topology of manifolds using smooth functions and their critical points. It provides a framework for understanding the shape and features of spaces by examining the behavior of functions defined on those spaces.
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