Interpolate between two dimensional points

Hi Guys,

i need some help with a problem i have.

Ich have a point cloud. All Points are two dimensional and therefore have an x and y value. Each Point in this cloud define a x and y error.

Now i have a new 2d point which is soomwhere in this point cloud and from which i want to interpolate the x and y error.

How can i do this ?

My idea was to find the two nearest Points from the point cloud to this new point but i m not sure how to do this. Is there any possibility to do this with Matlab ? Or isn't it better to use 4 points around that point to interpolate the error ?

Thanks in advance for your help.

Answer 1

[Matt J]

One way is to use scatteredInterpolant

F=scatteredInterpolant(x,y,Error);
newError=F(newpoint);

This is the most efficient if you need to reuse F multiple times, but you could also use griddata.