Package jvx.numeric

Numerical algorithms and datastructures.

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Description

Class Summary

PnAlignmentEnergy	Alignment energy for non-conforming meshes.
PnAreaEnergy	Area energy including gradient and hessian computations.
PnAreaVolEnergy	Dirichlet energy with volume term is used to minimize area under a volume constraint.
PnBiconjugateGradient	Solve sparse linear equation systems using preconditioned biconjugate gradient method.
PnConfEnergy	Conformal energy including gradient and hessian computations.
PnConjugateGradient	Minimize functionals using conjugate gradient method.
PnDiriEnergy	Dirichlet energy including gradient and hessian computations.
PnElementRK	Discret Runge-Kutta method on ElementSets.
PnEnergy	Energy functional on triangulated surfaces including gradient and hessian computations.
PnEnergyMinimizer	Main class to vary a surface to minimize a given energy functional.
PnEnergyMinimizer_IP	Info panel for energy minimization to control minimization process and print info.
PnFunction	Abstract class for functions to be used numerical methods, e.g. in minimization classes.
PnGaussEnergy	Gauss energy is the difference of the current Gauss curvature to a prescribed value.
PnGeodesicRK	Discrete Runge-Kutta method on element sets.
PnHodgeU	Energy to obtain principal function u.
PnHodgeW	Energy to obtain principal function u.
PnJacobi	Compute eigenvectors and eigenvalues of a given matrix and store in result vectors.
PnLevelSet	Abstract class for all kinds of level sets.
PnLIC	Line Integral Convolution for vector field visualization.
PnMassMatrix	Mass matrix of triangulated surface and functions linear in each triangle.
PnMatrix	Numerical routines for bigger matrix linear algebra problems.
PnNoise	Generates 2D procedural white noise by hashtable-like method to generate a gradient on an integer lattice that is made continuous by smoothed interpolation.
PnOde	Basic ode class with solver.
PnOdeExpr	Extends basic ode class with ability to supply a string expression of the ode.
PnRootFinder	Find roots of a real-valued function in one variable or defined on a 1-dimensional curve.
PnSparseMatrix	Sparse matrix representation.
PnSpringEnergy	Spring energy including gradient computation.
PnStiffAniso	Create and setup stiffness matrix for the anisotropic Laplace operator.
PnStiffConformal	Create and setup stiffness matrix for conformal energy defined by John Hutchinson of a map from triangulation to C.
PnStiffDiriConforming	Create and setup stiffness matrix for Dirichlet energy and area computations of a given conforming triangulated domain surface.
PnStiffDiriNonConforming	Create and setup stiffness matrix for Dirichlet energy or area computations of a given non-conforming triangulated domain surface.
PnStiffMatrix	Create and setup sparse representation of a stiffness matrix.
PnStiffSpring	Create and setup stiffness matrix for spring energy of a given conforming triangulated domain surface.
PnTranslationRK	Discrete Runge-Kutta method on element sets.
PnVertexRK	Discrete Runge-Kutta method on element sets.
PnVertexRKIgnoreDirection	Discrete Runge-Kutta method on element sets.
PnVolumeEnergy	Volume energy is the difference of the oriented volume of a surface with a given constant.

Package jvx.numeric Description

Numerical algorithms and datastructures. Includes support for large matrices, sparse matrices and numerical linear algebra algorithms. Solution for variational problems and energy minimization.

Support for small vector and matrices including some 3D affine geometry is available in the package jv.vecmath.