A complete, production-ready implementation of discrete differential geometry algorithms in C++ and C#, with comprehensive documentation, tests, and examples. ddg-course-companion/ ├── README.md │ ...
In the field of Differential Geometry we are concerned with Riemannian manifolds or more generally (inner) metric spaces. We are interested in the interplay between their curvature and global ...
This paper proposes a novel discrete differential geometry of n-simplices, which is originally developed for protein structure analysis [1] [2]. Discrete differential geometry is the study of discrete ...
ABSTRACT: This paper shows the usefulness of discrete differential geometry in global analysis. Using the discrete differential geometry of triangles, we could consider the global structure of closed ...
The study of differential algebraic geometry and model theory occupies a pivotal position at the interface of algebra, geometry, and logic. Differential algebraic geometry investigates solution sets ...
This is an attempt at an intuitive, bottom-up approach to modern differential geometry, covering deep topics in maximum detail with minimal prerequisites. Too often in math education, fundamental ...
Application of tools from differential geometry and Lie groups to problems in dynamics, controllability, and motion planning for mechanical systems, particularly with non-Euclidean configuration ...
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