Affiliation:
1. Universidad Politécnica de Madrid, USA
2. Universidad Politécnica de Madrid, Spain
Abstract
A simple and efficient algorithm to numerically compute the genus of surfaces of three-dimensional objects using the Euler characteristic formula is presented. The algorithm applies to objects obtained by thresholding a scalar field in a structured-collocated grid and does not require any triangulation of the data. This makes the algorithm fast, memory efficient, and suitable for large datasets. Applications to the characterization of complex surfaces in turbulent flows are presented to illustrate the method.
Funder
Computational Fluid Mechanics Lab headed by Javier Jiménez, the European Research Council
FPI fellowship from the Spanish Ministry of Education and Science and the ERC
Publisher
Association for Computing Machinery (ACM)
Subject
Applied Mathematics,Software
Cited by
12 articles.
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