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.
Microsoft .NET Framework 4.0 (or higher)
Microsoft XNA Framework 4.0 (Windows, Xbox 360, Windows Phone 7)
Here is an overview of features in this product.
Intended and optimized for use in 3D real-time applications
Robust floating-point comparisons
General vectors and matrices
Specialized vectors and matrices for: 2D, 3D, 4D
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
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
N-dimensional linear 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
Various statistical distributions
Principal component analysis (PCA)
Following namespaces belong to DigitalRune.Mathematics: