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@@ -1,36 +1,14 @@ - + A real-time black hole ray tracer. -## Table of Contents - -1. [Overview](#overview) -2. [Mathematical Theory](docs/mathematical-theory.md) - - [Einstein's Field Equations](docs/mathematical-theory.md#einsteins-field-equations) - - [Schwarzschild Metric](docs/mathematical-theory.md#schwarzschild-metric) - - [Geodesics: Paths of Free-Falling Particles and Light](docs/mathematical-theory.md#geodesics-paths-of-free-falling-particles-and-light) - - [Conserved Quantities](docs/mathematical-theory.md#conserved-quantities) -3. [Ray Tracing Implementation](docs/ray-tracing-implementation.md) - - [Ray Initialization](docs/ray-tracing-implementation.md#1-ray-initialization) - - [Geodesic Integration](docs/ray-tracing-implementation.md#2-geodesic-integration) - - [Intersection Testing](docs/ray-tracing-implementation.md#3-intersection-testing) - - [Rendering Pipeline](docs/ray-tracing-implementation.md#4-rendering) -4. [Numerical Methods](docs/numerical-methods.md) - - [Runge-Kutta 4 Integration](docs/numerical-methods.md#runge-kutta-4-rk4-integration--explained) - - [Adaptive Step Size](docs/numerical-methods.md#adaptive-step-size) - - [Performance Optimizations](docs/numerical-methods.md#performance-optimizations) -5. [Configuration](docs/configuration.md) - - [Configuration Files](docs/configuration.md#configuration-files) - - [Simulation Parameters](docs/configuration.md#simulation-parameters) - - [Performance Settings](docs/configuration.md#performance-settings) - ## Overview Donut is a real-time black hole ray tracer that simulates the visual effects of gravitational lensing around Sagittarius A* (Sgr A*), the supermassive black hole at the center of our galaxy. The application renders images of how light would bend and distort as it passes near the black hole's intense gravitational field. ## Screenshots - - + + *Real-time rendering of Sagittarius A* with volumetric accretion disk, featuring:* |
