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arXiv · 1807.01417

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

C. T. Lee·J. B. Moody·R. E. Amaro·J. A. McCammon·M. Holst
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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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C. T. Lee, J. B. Moody, R. E. Amaro, J. A. McCammon, M. Holst. 2018-07-04. The Implementation of the Colored Abstract Simplicial Complex and its Application to Mesh Generation. https://doi.org/10.1145/3321515

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