Polynomial Interpolation

Determinantal matrix representations of hyperbolic polynomials are a current topic of interest and research among those working with LMI's (Linear Matrix Inequalities) and SDP (semi-definite programming). This toolbox was used to demonstrate some of the theorems presented in the author's Ph.D.... Platforms: Matlab

Given the coefficients of the characteristic polynomial the Routh-Hurwitz array is created and printed. Additionally, this method shows some results from the array relating to the stability of the system. Platforms: Matlab

RA=ROUTH(R,EPSILON) returns the symbolic Routh array RA for polynomial. The following special cases are considered:1) If the first element of a row becomes zero OR2) If one encounters a row full of zeros.>>syms ep>>a=routh([1 1 2 2 3 5],ep)The above given case is for encountering a zero in the... Platforms: Matlab

DIRECTORIES:- SMALLPART/smallpart.mclusterindex.m- PARTITIONS/partition.mcluster.mBLLSG.mBoth are based on the Cluster Polynomial Representation of binary words of arbitrary length. The theory of Universal Lexicons is covered in the following Technical Report (submitted in J. App. Comp.... Platforms: Matlab

For given p(x) = PROD[i=1,m]{SUM[j=2,n+2]{(A(i,j)*x^(j-2))^A(i,1)}} we shall get p(x) = SUM[s=1,N+1]{p(s)^(N+1-s)} For example If p(x) = (x-4)^5 * (3x^6-7x^3+5x+2)^2 * (x^3+8)^3 * x^2 or A = [ 5 -4 1 0 0 0 0 0 2 2 5 0 -7 0 0 3 3 8 0 0 1 0 0 0 1 0 0 1 0 0 0 0 ] then from p = polyget(A) we get p =... Platforms: Matlab

The main file interpMatrix.m in this package creates a sparse Toeplitz-like matrix representing a regularly-spaced interpolation operation between a set of control points. The user can specify the interpolation kernel, the number of control points, the spacing between the control points, and... Platforms: Matlab

Arkan is designed to convert border of a raster mask (selection of an object in scene) or any closed polyline into B-spline (piecewise cubic Bezier curve) representation spread widely in vector graphics packages. Arkan chooses the best position both for node points (junctions of adjacent Bezier... Platforms: Windows

The Getfem++ project focuses on the development of a generic and efficient C++ library for finite element methods elementary computations. The goal is to provide a library allowing the computation of any elementary matrix (even for mixed finite element methods) on the largest class of methods and... Platforms: *nix

CGI::FastTemplate is a Perl extension for managing templates, and performing variable interpolation. SYNOPSIS use CGI::FastTemplate; $tpl = new CGI::FastTemplate(); $tpl = new CGI::FastTemplate("/path/to/templates"); CGI::FastTemplate->set_root("/path/to/templates"); ## all instances... Platforms: *nix

PNGwriter is a C++ library for creating PNG images. PNGwriter is a very easy to use open source graphics library that uses PNG as its output format. The interface has been designed to be as simple and intuitive as possible. It supports plotting and reading in the RGB (red, green, blue), HSV... Platforms: Mac

PDL::Slatec is a PDL interface to the slatec numerical programming library. SYNOPSIS use PDL::Slatec; ($ndeg, $r, $ierr, $a) = polyfit($x, $y, $w, $maxdeg, $eps); This module serves the dual purpose of providing an interface to parts of the slatec library and showing how to interface PDL... Platforms: *nix

A small program designed to automatically resize photo images. When you run the program, it automatically pulls all the images in the current folder and reduces all 'JPG' images to the specified value (in pixels). In addition, you can specify the quality of the results JPG files (0-100) and... Platforms: Windows

Gwyddion is a modular program for SPM (scanning probe microscopy) data visualization and analysis. Primarily it is intended for analysis of height fields obtained by scanning probe microscopy techniques (AFM, MFM, STM, SNOM/NSOM), however it can be generally used for any other height field and... Platforms: Linux

Cusp is a simple 2D spline editing tool for free-form bezier splines or curves calculated by cubic spline interpolation. Its main usage is to create 2D motion paths for simple games. Platforms: Windows, Mac, Linux

jk3d is a java code for 3d interpolation of scattered data. jk3d uses a quality weighted ordinary Kriging method and optional an inverse distances weighting method. It has no graphical user interface and uses ASCII files to define the input. Platforms: Windows, Mac, Linux

Radial++ is a C++ template library for scattered data interpolation in any dimension and also the numerical solution of partial differential equations. It provides generalized Radial Basis Functions (p.e. multiquadric, this-plate spline, etc). Platforms: Mac, BSD

Sake is a PHP implementation of Polynomial Least Squares Regression. The algorithm takes data points as input and returns the resulting polynomial. Graphs can be made using any plotting package. Sake provides the polynomial and will compute as many point Platforms: Windows, Mac, Linux

XenoMorph - provides a unified concept of polynomial and morphologic image filters. It is built for precision, not for speed, that means it works in floating-point mode internally. It can read PNG, JPG and many other formats, and it writes PNG. A nice feature of this software is it's... Platforms: Mac

This script implements the algorithm to compute the cyclic redundancy check that is described in the ISO 3309 standard. The generator polynomial is x64 x4 x3 x 1. Platforms: Windows, Mac, *nix, Python, BSD Solaris

This m-file generates all the m-sequences of length 31.To generate the m-sequence of length 31 we use Primitive polynomial of degree 5.There are three primitive polynomial of degree 5, so there will be 3 different m-sequences of length 31. Platforms: Matlab