ArticleACM transactions on mathematical software. Association for Computing Machinery2019
The Implementation of the Colored Abstract Simplicial Complex and its Application to Mesh Generation.
Article in ACM transactions on mathematical software. Association for Computing Machinery, 2019. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 4 papers.
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4 citing papers in PubMed.
- Electrophysical cardiac remodeling at the molecular level: Insights into ryanodine receptor activation and calcium-induced calcium release from a stochastic explicit-particle model.Biophysical journal · 2024Article
- 3D mesh processing using GAMer 2 to enable reaction-diffusion simulations in realistic cellular geometries.PLoS computational biology · 2020Article
- An Open-Source Mesh Generation Platform for Biophysical Modeling Using Realistic Cellular Geometries.Biophysical journal · 2020Article
- Applications and Challenges of Machine Learning to Enable Realistic Cellular Simulations.Frontiers in physics · 2020Article
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5 authors.
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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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