DigitalRune Mathematics

DigitalRune Mathematics is a .NET class library containing types and algorithms to solve mathematical problems. The library was designed for use in computer graphics, video games and virtual reality applications.

This topic contains the following sections.

Minimal Requirements

Supported Platforms

  • Microsoft .NET Framework 4.0 (or higher)

  • Microsoft XNA Framework 4.0 (Windows, Xbox 360, Windows Phone 7)

  • Mono and MonoGame

Features

Here is an overview of features in this product.

General

  • Intended and optimized for use in 3D real-time applications

  • Robust floating-point comparisons

Algebra

  • General vectors and matrices

  • Specialized vectors and matrices for: 2D, 3D, 4D

  • Quaternion algebra

  • Matrix decompositions: Cholesky decomposition, Eigenvalue decomposition, LU decomposition, QR decomposition, Singular Value Decomposition (SVD)

  • Iterative solver for systems of linear equations: Jacobi method, Gauss-Seidel method, SOR method

Analysis

  • Numerical integration: Trapezoidal integrator, Simpson integrator, Romberg integrator

  • Numerical integration of ordinary differential equations: Explicit Euler integrator, Midpoint integrator, Runge-Kutta integrator

  • Root finding algorithms: Bisection method, Regula falsi method, Newton-Raphson method, Improved Newton-Raphson method

Interpolation

  • General interpolation:

    • Step interpolation

    • N-dimensional linear interpolation

    • Cosine interpolation

    • Polynomial interpolation

    • Quaternion interpolation: linear (LERP), spherical linear (SLERP), spherical quadrangle (SQUAD)

  • Scattered interpolation: Shepard's method, interpolation using Radial Basis Functions (RBF)

  • Interpolation curves (splines):

    • Basic spline curves: step, linear, Bézier, B-spline, Cardinal, Catmull-Rom, Hermite

    • Piecewise curves: 2D paths, 3D paths, animation curves

    • Length-parameterization of curves

Statistics

  • Various statistical distributions

  • Principal component analysis (PCA)

Namespaces

Subtopics