Analysis of three-dimensional image using Tutte polynomial for polyhedral graphs

Alejandro Gómez M.

doi:10.1117/12.2015195

17 May 2013 Analysis of three-dimensional image using Tutte polynomial for polyhedral graphs

Alejandro Gómez M.

Proceedings Volume 8738, Three-Dimensional Imaging, Visualization, and Display 2013; 87380V (2013) https://doi.org/10.1117/12.2015195
Event: SPIE Defense, Security, and Sensing, 2013, Baltimore, Maryland, United States

Abstract

All three-dimensional image, could be represented with a polyhedral graphs, where the number of edges and vertices is proportional to the quality of the image, and this image could be stored in an algebraic expression like a Tutte polynomial, allowing the reconstruction of any three-dimensional image. The Tutte polynomial is calculated using the package Graph Theory of Maple 16, which has been optimized for polyhedral graphs with a lot of edges and vertices, so this could be very useful with three-dimensional complex images or three-dimensional HD image. In this paper, I will present some examples of the useful Tutte polynomial, and for future work, I will investigate the use of Bollobás- Riordan polynomial.

Citation Download Citation

Alejandro Gómez M. "Analysis of three-dimensional image using Tutte polynomial for polyhedral graphs", Proc. SPIE 8738, Three-Dimensional Imaging, Visualization, and Display 2013, 87380V (17 May 2013); https://doi.org/10.1117/12.2015195

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