Generalization of distance to higher dimensional objects

Steven S. Plotkin

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arXiv · 0803.0102

Generalization of distance to higher dimensional objects

Steven S. Plotkin

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Abstract

The measurement of distance between two objects is generalized to the case where the objects are no longer points but are one-dimensional. Additional concepts such as non-extensibility, curvature constraints, and non-crossing become central to the notion of distance. Analytical and numerical results are given for some specific examples, and applications to biopolymers are discussed.

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Steven S. Plotkin. 2008-03-02. Generalization of distance to higher dimensional objects. https://arxiv.org/abs/0803.0102

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