Package jvx.numeric

Numerical algorithms and datastructures.

See: Description

Interface Summary

Interface	Description
PnLanczos.PnMatrixVectorProductIf	Interface encapsulating the product of a vector v with a square matrix A: A*v.

Class Summary

Class	Description
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.
PnBandEigenSolver	Eigensolver computing a band instead the full spectrum of a matrix.
PnBandEigenSolver_IP	Info panel for eigensolver computing a band instead the full spectrum of a matrix.
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.
PnConjugateGradientMatrix	Solve symmetric sparse linear equation systems using preconditioned conjugate gradient method.
PnDiriEnergy	Dirichlet energy including gradient and hessian computations.
PnElementRK	Discrete Runge-Kutta solver on triangular element sets for integration of an element based vector field.
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 solver on triangular element sets.
PnHodgeU	Energy to obtain potential function u.
PnHodgeW	Energy to obtain potential function u.
PnJacobi	Compute eigenvectors and eigenvalues of a given symmetric matrix and store in result vectors.
PnJacobi_IP	Info panel holding interface elements for all user specified settings for PnJacobi eigensolver.
PnLanczos	Lanczos method - computes (incomplete) tridiagonalization T of an symmetric input matrix A.
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.
PnPCA	Principal component analysis of an element set and tetra set.
PnPreconditioner	Identity Preconditioner used by conjugate gradient and biconjugate gradient solver, all other Preconditioners should inherit from this.
PnPreconditionerILU	Perform an ILU Preconditioning.
PnPreconditionerJacobi	Perform a diagonal (Jacobi) preconditioning from the left to the a linear equation system smat.x=b.
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.
PnStraightestGeodesic	The exponential map on a PgElementSet.
PnTranslationRK	Discrete Runge-Kutta method on element sets.
PnVertexRK	Discrete Runge-Kutta solver on triangular element sets for integration of a vertex-based vector field.
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.