# From Shape Similarity to Shape Complementarity: Toward a Docking Theory

@article{Petitjean2004FromSS, title={From Shape Similarity to Shape Complementarity: Toward a Docking Theory}, author={Michel Petitjean}, journal={Journal of Mathematical Chemistry}, year={2004}, volume={35}, pages={147-158} }

Formal relations between similarity and docking are analyzed, and a general docking theory is proposed for colored mixtures of multivariate distributions. X and Y being two colored mixtures with given marginal distributions, their shape complementarity coefficient is defined as the lower bound of the variance of (X−Y)′· (X-Y), taken over the set of joint distributions of X and Y. The docking is performed via minimization of the shape complementarity coefficient for all translations and…

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