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The Implementation of the Colored Abstract Simplicial Complex and its Application to Mesh Generation.

  • Author(s): Lee, Christopher T
  • Moody, John B
  • Amaro, Rommie E
  • McCammon, J Andrew
  • Holst, Michael J
  • et al.

Published Web Location

https://dl.acm.org/citation.cfm?doid=3349340.3321515
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Abstract

We introduce CASC: a new, modern, and header-only C++ library which provides a data structure to represent arbitrary dimension abstract simplicial complexes (ASC) with user-defined classes stored directly on the simplices at each dimension. This is accomplished by using the latest C++ language features including variadic template parameters introduced in C++11 and automatic function return type deduction from C++14. Effectively CASC decouples the representation of the topology from the interactions of user data. We present the innovations and design principles of the data structure and related algorithms. This includes a metadata aware decimation algorithm which is general for collapsing simplices of any dimension. We also present an example application of this library to represent an orientable surface mesh.

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