{"repo":"panguojun/Coordinate-System","free":true,"listed":false,"github":"https://github.com/panguojun/Coordinate-System","clone":"git clone https://github.com/panguojun/Coordinate-System.git","description":"Coordinate transformations play a pivotal role in computer graphics, robotics, and the broader domains of mathematics and physics. This project introduces a novel computable coordinate system object that bridges the gap between theoretical frameworks and numerical computations.","language":"C++","stars":37,"topics":["coordinate-systems","curvature","general-relativity","tensor","mathematics","matrix","matrix-calculations","quaternion","riemann-curvature","computer-graphics"],"license":"MIT","category":"media-processing","readme_excerpt":"The Coordinate System Theory and Implementation 🌍 Language 语言选择 📖 English 中文 --- 🚀 Overview The Coordinate System (Coord) Framework provides an intuitive and powerful solution for coordinate transformations in 3D space. At its core, it simplifies complex coordinate operations by treating coordinate systems as first-class algebraic objects that support arithmetic operations like multiplication and division. 🎯 Latest Achievement (v2.5.0) The framework now features the revolutionary Intrinsic Gradient Operator (内禀梯度算子) method for curvature computation, achieving < 0.001% error on test surfaces - a 2000x improvement over traditional methods. This breakthrough transforms abstract differential geometry into simple coordinate system change analysis. ✨ Key Features - 🔄 Intuitive Coordinate Transformations : World ↔ Local coordinate conversions with simple operators - 🏗️ Hierarchical Systems : Efficient multi-node transformations for robotics and graphics - 🎯 Algebraic Operations : Coordinate systems as mathematical objects supporting +, -, , / - ⚡ High Performance : Optimized for real-time applications - 🧮 Advanced Mathematics : Optional differential geometry capabilities for research - 🌐 Multi-Platform : C++ library with Python bindings 🏛️ Historical Context History of Coordinate Systems The concept of coordinate systems traces back to René Descartes, who sought to use geometry to describe celestial motion. However, his methods lacked the precision required for exact calcu","default_branch":null,"files":null,"tree":[],"storefront":"/r/panguojun","claimed":false,"request_supported":{"post":"https://gitbuyer.com/r/panguojun/Coordinate-System/request-supported","requests":0},"note":"indexed from public GitHub; nothing is for sale on this page. Clone it from GitHub. Paid listings live at /search."}