spline

I am porting a script written in R over to Python. In R I am using smooth.spline and in Python I am using SciPy UnivariateSpline. They don't produce the same results (even though they are both based on a cubic spline method). Is there a way, or an alternative to UnivariateSpline, to make the Python spline return the same spline as R? I'm a mathematician. I understand the general idea of splines. But not the fine details of their implementation in Python or R. Here is the code in R and then Python. The input data is the same for both. Here is the input data: x = 0.0, 0.1, 0.2, 0.3, 0.4, 0.5, 0

I am trying to evaluate points in a large piecewise polynomial, which is obtained from a cubic-spline. This takes a long time to do and I would like to speed it up. As such, I would like to evaluate a points on a piecewise polynomial with parallel processes, rather than sequentially. Code: z = zeros(1e6, 1) ; % preallocate some memory for speed Y = rand(11220,161) ; %some data, rand for generating a working example X = 0 : 0.0125 : 2 ; % vector of data sites pp = spline(X, Y) ; % get the piecewise polynomial form of the cubic spline. The resulting structure is large. for t = 1 : 1e6 % big

I'm trying to smooth a 11 X 8 matrix and I can't seem to find a way to do this. I know there are several threads on this but none has helped for my situation. Every approach I've found requires some sort of z ~ x*y approach. In my case I just have a matrix that I would like to simply smooth all of the cell entries to make a smoother surface plot. m [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [1,] 29.02530 28.57123 39.02334 38.25483 29.59624 65.01706 41.04771 98.62005 [2,] 24.46539 24.08265 32.89272 32.24494 24.94663 54.80279 34.59906 83.12670 [3,] 28.30679 27.86395 38.05733 37.30784 28.86359 63

Basically I want to draw a polygon, but I want the edges to appear soft rather than hard. Since the shape of the polygon is important, the edges have to go over the points. I've found monotone cubic splines to be accurate for open curves (i.e., curves that don't wrap around on themselves), but the algorithms I've found precalculate points 0 and N. Can I somehow change them to work with a closed curve? I am implementing this in JavaScript, but pseudo-code would just as well. There is an easy method (developed by Maxim Shemanarev) to construct (usually) good-looking closed Bezier curves set over

So my goal is to draw a spline similar to this one (where the line goes through each point): But the spline loops around (from the end point 2 back to the start point): I tried changing the "continuous" boolean in the catmullromspline, but that resulted in only a dot being drawn in the center of the screen. I also ended the line drawing when it hit the last point, but the result was ugly because the line was still curving at the start and end points. I looked everywhere in the source code, and could not find a function that could prevent it from looping. And as far as i know, bezier splines