interpolation

Is there an R library that estimates a multivariate natural cubic spline (or similar) function?

若如初见. 提交于 2019-11-27 06:23:05
问题 note: originally posted on Cross Validated (stats SE) on 07-26-2011, with no correct answers to date. Background I have a model, f , where Y=f( X ) X is an n x m matrix of samples from m parameters and Y is the n x 1 vector of model outputs. f is computationally intensive, so I would like to approximate f using a multivariate cubic spline through ( X ,Y) points, so that I can evaluate Y at a larger number of points. Question Is there an R function that will calculate an arbitrary relationship

How do I implement a Bézier curve in C++?

狂风中的少年 提交于 2019-11-27 06:13:00
I'd like to implement a Bézier curve . I've done this in C# before, but I'm totally unfamiliar with the C++ libraries. How should I go about creating a quadratic curve? void printQuadCurve(float delta, Vector2f p0, Vector2f p1, Vector2f p2); Clearly we'd need to use linear interpolation, but does this exist in the standard math library? If not, where can I find it? Update 1: Sorry, I forgot to mention I'm using Linux. dirkgently Did you use a C# library earlier? In C++, no standard library function for Bezier curves is available (yet). You can of course roll your own (CodeProject sample ) or

Interpolating a closed curve using scipy

◇◆丶佛笑我妖孽 提交于 2019-11-27 06:11:56
问题 I'm writing a python script to interpolate a given set of points with splines. The points are defined by their [x, y] coordinates. I tried to use this code: x = np.array([23, 24, 24, 25, 25]) y = np.array([13, 12, 13, 12, 13]) tck, u = scipy.interpolate.splprep([x,y], s=0) unew = np.arange(0, 1.00, 0.005) out = scipy.interpolate.splev(unew, tck) which gives me a curve like this: However, I need to have a smooth closed curve - on the picture above the derivatives at one of the points are

How to use linear interpolation estimate current position between two Geo Coordinates?

丶灬走出姿态 提交于 2019-11-27 06:10:37
问题 I have the following available: last reported lat,lon w/timestamp target lat,lon estimated time to target heading How can I interpolate an estimated position over time? I know that's enough to calculate the required average velocity for the remainder of the trip. Given a straight-line distance, it's pretty trivial. I know it has to do with vectors but I'm a bit rusty and thought it better to consult some experts. The reason I need this update rate is limited, so to show smooth animation I

How can I perform two-dimensional interpolation using scipy?

我的梦境 提交于 2019-11-27 05:51:53
This Q&A is intended as a canonical(-ish) concerning two-dimensional (and multi-dimensional) interpolation using scipy. There are often questions concerning the basic syntax of various multidimensional interpolation methods, I hope to set these straight too. I have a set of scattered two-dimensional data points, and I would like to plot them as a nice surface, preferably using something like contourf or plot_surface in matplotlib.pyplot . How can I interpolate my two-dimensional or multidimensional data to a mesh using scipy? I've found the scipy.interpolate sub-package, but I keep getting

How to get the image pixel at real locations in opencv?

允我心安 提交于 2019-11-27 05:40:17
问题 I want to retrieve the rgb of a pixel in the image. But the location is not integer location but real values (x,y). I want a bilinear interpolated value. How could I do it opencv? Thanks a lot 回答1: There is no simple function for subpixel access but I can suggest you few options: Use getRectSubPix and extract 1 pixel region: cv::Vec3b getColorSubpix(const cv::Mat& img, cv::Point2f pt) { cv::Mat patch; cv::getRectSubPix(img, cv::Size(1,1), pt, patch); return patch.at<cv::Vec3b>(0,0); } Use

problematic Moire pattern in image produced with gnuplot pm3d and pdf output

…衆ロ難τιáo~ 提交于 2019-11-27 05:31:58
I'm plotting data using the command files discussed here: gnuplot contour line color: set style line and set linetype not working I want to provide different output options. PNG works well, as does the wxt terminal, however, these have fixed resolution, e.g. when I "zoom in" on the plot it gets grainier. If I use pdf or pdfcairo for the terminal, the resulting file has a Moire pattern. The region in the image over which the Moire pattern is observed can be reduced by using increasing amounts of interpolation in the pm3d command. There are lots of points in the data set in the radial direction,

Impact of cubic and catmull splines on image

只谈情不闲聊 提交于 2019-11-27 05:22:16
I am trying to implement some function like below For this I am trying to use Cubic interpolation and Catmull interpolation ( check both separately to compare the best result) , what i am not understanding is what impact these interpolation show on image and how we can get these points values where we clicked to set that curve ? and do we need to define the function these black points on the image separately ? I am getting help from these resources Source 1 Source 2 Approx the same focus Edit int main (int argc, const char** argv) { Mat input = imread ("E:\\img2.jpg"); for(int i=0 ; i<input

Python/Scipy 2D Interpolation (Non-uniform Data)

北慕城南 提交于 2019-11-27 04:38:45
This is a follow-up question to my previous post: Python/Scipy Interpolation (map_coordinates) Let's say I want to interpolate over a 2d rectangular area. My variable 'z' contains the data as shown below. Each column is at a constant value, however, each row of the array may be at a different value as shown in the comment below. from scipy import interpolate from numpy import array import numpy as np # # 0.0000, 0.1750, 0.8170, 1.0000 z = array([[-2.2818,-2.2818,-0.9309,-0.9309], # 0.0000, 0.0000, 0.0000, 0.0000 [-2.2818,-2.2818,-0.9309,-0.9309], # 0.2620, 0.2784, 0.3379, 0.3526 [-1.4891,-1

How can I perform two-dimensional interpolation using scipy?

北战南征 提交于 2019-11-27 03:58:35
问题 This Q&A is intended as a canonical(-ish) concerning two-dimensional (and multi-dimensional) interpolation using scipy. There are often questions concerning the basic syntax of various multidimensional interpolation methods, I hope to set these straight too. I have a set of scattered two-dimensional data points, and I would like to plot them as a nice surface, preferably using something like contourf or plot_surface in matplotlib.pyplot . How can I interpolate my two-dimensional or