Habrador/Computational-geometry
Computational Geometry
This project provides a collection of algorithmic implementations for computational geometry, focusing on spatial analysis, mesh construction, and geometric data processing. It serves as a toolkit for generating and manipulating complex shapes, surfaces, and spatial relationships within interactive three-dimensional applications.
The library distinguishes itself through a suite of mathematical functions designed for procedural mesh generation and geometric partitioning. It includes specialized routines for calculating convex hulls, performing boolean operations on polygons, and detecting intersections between line segments. These tools utilize deterministic arithmetic to maintain consistency across varying coordinate systems and spatial scales.
The implementation supports practical workflows for converting point clouds and complex polygons into triangle meshes suitable for rendering and physics simulations. It offers specific capabilities for optimizing mesh topology and dividing surfaces into distinct regions, facilitating the programmatic creation of 3D environments and content.
The repository is structured as a library for use within game development environments, with specific support for processing and manipulating geometry in Unity.
Features
- Geometry Processing Libraries - Provides a comprehensive library of algorithms for processing spatial data and geometric meshes within game development environments.
- Spatial Indexing and Analysis - Divides surfaces into distinct regions and calculates geometric relationships to solve proximity and boundary problems.
- Mesh Optimization and Processing - Optimizes and manipulates 3D geometry to improve rendering performance and physics simulation stability.
- Boolean Polygon Operations - Resolves complex shape overlaps by calculating intersections and unions to produce simplified geometric boundaries.
- Algorithmic 3D Model Generators - Generates complex 3D models and environments programmatically from mathematical parameters.
- Polygon Triangulators - Converts complex polygons and point clouds into triangle meshes for rendering and collision detection.
- Constrained Delaunay Triangulations - Provides algorithms for partitioning point sets into high-quality triangle meshes by maximizing minimum angles.
- Procedural Mesh Generation - Constructs three-dimensional surfaces programmatically by linking vertices and edges based on mathematical parameters.
- Spatial Operation Algorithms - Calculates geometric intersections, convex hulls, and Voronoi diagrams to resolve spatial relationships.
- Convex Hull Computation - Calculates minimal enclosing convex volumes for point sets using iterative boundary updates.
- Sweep-Line Intersection Detectors - Identifies crossing points between multiple line segments by moving a virtual vertical line across the plane.
