A geometric invariant for the study of planar curves and its application\n to spiral tip meander

2016/02/24 by Scott Hotton, Hotton, Scott
Engineering · Physics and Astronomy · #Adhesion, Friction, and Surface Interactions #Experimental and Theoretical Physics Studies #FOS: Biological sciences #Quantitative Methods (q-bio.QM) #Scientific Research and Discoveries #Subcellular Processes (q-bio.SC)

paper · pdf · doi:10.48550/arxiv.1602.07758

openalex publication_date 2016/02/24 · openalex created_date 2022/09/05 · openalex updated_date 2026/07/28

Abstract

Planar curves with periodically varying curvature arise in the natural\nsciences as the result of a wide variety of periodic processes. The total\ncurvature of a periodic arc in such curves constrains their symmetry. It is\nshown how the total curvature can be computed without reparameterizing the\ncurve to unit speed. The use of the total curvature of the periodic arcs is\ndemonstrated through a series of four examples from various branches of\nscience. Insights gained from these examples are applied to improve the\nmodeling of spiral wave meander.\n

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