fast_bilinear {fitlandr}R Documentation

A fast bilinear interpolation function

Description

It assumes equal grid intervals, thus can find the correct position in O(1) time.

Usage

fast_bilinear(x, y, z, x0, y0)

Arguments

x

a vector containing the x coordinates of the rectangular data grid.

y

a vector containing the y coordinates of the rectangular data grid.

z

a matrix containing the z[i,j] data values for the grid points (x[i],y[j]).

x0

x value used to interpolate at.

y0

y value used to interpolate at.

Details

The following is from the documentation of akima::bilinear().

This is an implementation of a bilinear interpolating function. For a point (x0,y0) contained in a rectangle (x1,y1),(x2,y1), (x2,y2),(x1,y2) and x1<x2, y1<y2, the first step is to get z() at locations (x0,y1) and (x0,y2) as convex linear combinations z(x0,y*)=az(x1,y)+(1-a)z(x2,y) where a=(x2-x1)/(x0-x1) for y*=y1,y2. In a second step z(x0,y0) is calculated as convex linear combination between z(x0,y1) and z(x0,y2) as z(x0,y1)=b*z(x0,y1)+(1-b)*z(x0,y2) where b=(y2-y1)/(y0-y1).

Finally, z(x0,y0) is a convex linear combination of the z values at the corners of the containing rectangle with weights according to the distance from (x0,y0) to these corners.

Value

A list which contains only one element, z.


[Package fitlandr version 0.1.0 Index]