Stack Overflow
Stack Overflow

Questions tagged [hermite]

Charles Hermite (French pronunciation: ​[ʃaʁl ɛʁˈmit]) (December 24, 1822 – January 14, 1901) was a French mathematician who did research on number theory, quadratic forms, invariant theory, orthogonal polynomials, elliptic functions, and algebra.

Charles Hermite (French pronunciation: ​[ʃaʁl ɛʁˈmit]) (December 24, 1822 – January 14, 1901) was a French mathematician who did research on number theory, quadratic forms, invariant theory, orthogonal polynomials, elliptic functions, and algebra.

Hermite polynomials, Hermite interpolation, Hermite normal form, Hermitian operators, and cubic Hermite splines are named in his honor. One of his students was Henri Poincaré.

He was the first to prove that e, the base of natural logarithms, is a transcendental number. His methods were later used by Ferdinand von Lindemann to prove that π is transcendental.

In a letter to Thomas Stieltjes in 1893, Hermite famously remarked: "I turn with terror and horror from this lamentable scourge of continuous functions with no derivatives."

Wikipedia: http://en.wikipedia.org/wiki/Charles_Hermite

40 questions
1
vote
0 answers

Python Hermite Interpolation (not cubic spline interpolation)

I'm trying to implement various interpolation methods in python without using fancy libraries, such as scipy or numpy. I've managed to implement Lagrange interpolation both using Lagrange polynomial and Newton's polynomial. Now, I'm trying to…
PineLel
  • 19
  • 1
1
vote
1 answer

List of scipy hermite polynomials behave unexpectedly when used as lambda functions

I want to build a container of Hermite polynomials (link to scipy's hermite doc) of different orders. From what the doc says, I expect scipy.special.hermite to accept the order n and return a function - an Hermite polynomial of order n. This seems…
Vim
  • 1,436
  • 2
  • 19
  • 32
1
vote
0 answers

3D Hermite cubic spline interpolation in R

I have a dataframe composed of three numeric variables (x,y,z) which are the coordinates of a 3D surface obtained from interp2xyz from the akima package. x y z 0.600 0.02 42.801 0.604 0.02 42.527 0.609 0.02 42.253 0.614 0.02 41.979 0.618 0.02…
Alessio Fiore
  • 19
  • 1
1
vote
2 answers

c++ Hermite interpolation algorithm in Boost

I'm trying to use Boost c++ library for Hermite interpolation, but it's not well documented and I'm not well understand. My case is to calculate y values at some x position from data points such as: X: 0.9, 1.7, 2.55, 3.39... Y: 0.9, 0.8, 0.85,…
Arnoldas Liudžius
  • 339
  • 8
  • 18
1
vote
1 answer

swift: Hermite round cap UIBezierpath

I have a section in my app where users can draw something. Because of the slow refresh rate of touchesMoved, if a user draws fast, the line doesn't go smooth. That's why I'm using Hermite. It sets a point for every refresh rate and then draws a…
MaximVW
  • 203
  • 1
  • 4
  • 12
1
vote
2 answers

draw hermite curve on browser canvas (javascript)

I am trying to draw hermit curve on canvas browser. Hermite curve is defined in terms of 2 points and 2 derivatives. Point1X = 71 Point1Y = 165 Deriv1X = -12 Deriv1Y = 2 Point2X = 210 Point2Y = 153 Deriv2X = 108 Deriv2Y = 0 I can draw just bezier…
user2286036
  • 23
  • 3
1
vote
1 answer

Whats wrong with my Hermite Interpolation in Fortran?

Hermite Interpolation woes I am trying to find the Newton Dividing Differences for the function and derivative values of a given set of x's. I'm running into serious problems with my code working for tiny examples, but failing on bigger one's. As is…
Bryan
  • 41
  • 4
1
vote
1 answer

Hermite interpolation in Python

I have this program for calculating Hermite interpolation. Problem is, that its behave really bad. This is chart for 35 Chebyshev nodes. If I put more points, peak on the beginning will be higher(its about 10^7 with this amount of nodes). I…
Purple
  • 711
  • 2
  • 10
  • 19
1
vote
2 answers

C++ Hermite polynomial implementation

Can anyone recommend a good numerical library providing a C++ implementation of Hermite polynomials? I am building them brute force, using iterative algorithms, but I would like some ready made alternatives which will probably work more quickly.
Plamen
  • 650
  • 1
  • 8
  • 27
0
votes
1 answer

Problems with manual bicubic interpolation algorithm (C++)

I'm working on an algorithm to create an BMP output image of 1920x1080 with an input image of 4x4. This is the 4x4 input image (16 pixels) Here the output image using my algorithm The image I want to get There may be some issues with my code, the…
emmanuelvelmo
  • 21
  • 1
0
votes
0 answers

In python, using the Hermite interpolation

Consider the function f (x) = sin(x) on the interval [0, π]. Use python to build the Vandermonde system to find the interpolating polynomial PN (x) to f (x) using 5, 10, 15 and 20 equally spaced nodes on [0, π]. Once you have the interpolating…
Hithere
  • 1
0
votes
0 answers

Using Hermite splines in SVG

I want to draw Hermite Splines in an SVG document. When looking at the specification of SVG, it turns out that SVG will only support Bézier curves. One solution is: When generating my SVG document, I could do the interpolation myself, in code, and…
Bram
  • 7,440
  • 3
  • 52
  • 94
0
votes
0 answers

Diagonalize hermitian matrix with entires only on few diagonals

I need to find the eigenvalues and eigenvectors of a rather large (typically ~ 1000x1000) NxN Hermitian matrix, where only the main diagonal, the first two nebendiagonals and the sqrt(N)'th diagonals are non-zero. So a total of 7 diagonals. Are…
Ritteraxt
  • 82
  • 8
0
votes
3 answers

Sub-curve of a Hermite Curve does not fit original curve

I’m trying to use a Hermite curve in a project, with an admittedly limited understanding of how the math actually works, and I’ve run into some behavior I don’t understand. I've demonstrated my confusion with a minimal code sample below, but…
Henry
  • 3
  • 2
0
votes
1 answer

MIPS hermite stack example use

I'm stuck on a stack. I have to call to a function in mips-32 assembly code, in which I have to evaluate a Hermite polynomial just by giving the n and the x as parameters. It must be done using recursion. I've tried to set 2 base cases H0 and H1,…
ERIC DÜRR SIERRA
  • 1
1
2
3