A Note on Paths Signatures and Convex Hulls

Authors

  • Shabani Makwaru 1. Department of Mathematics, University of Dar es Salaam, Dar es Salaam, Tanzania
  • Marco Mpimbo 1. Department of Mathematics, University of Dar es Salaam, Dar es Salaam, Tanzania
  • Santosh Kumar North Eastern Hill University, Department of Mathematics, India
  • Darrick Lee University of Oxford, Department of Mathematics, England

DOI:

https://doi.org/10.4314/tjs.v51i2.14

Abstract

Geometrical interpretation of higher-order path signatures i.e., of order greater than two can be somewhat challenging. The purpose of this paper is to compute the volume of a convex hull using the path signature approach, specifically in the context of two-dimensional paths. We validate our findings through examples involving both cyclic and non-cyclic curves.

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Published

2025-06-27

Issue

Vol. 51 No. 2 (2025)

Section

Mathematics and Computational Sciences

License

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