integPoly

Integrates a 2D anonymous function over a 2D Polygon area

Integrates a 2-Dimensional (x,y) function over a 2D polygon, from MATLAB's polyshape or nsidedpoly.

By default, the error is about 0.03% but you can change this within the function at the cost of calculation time.

It will vary slightly depending on what shape you are using.

valOut=integPoly(f,polyIn) %integrate function f(x,y) over the polyshape polyIn

Inputs: function handle (over x and y), polyshape

Output: the integrated value over the area of the polygon

NOTE!: You can change the speed of the calculation (and get some error). See below

Ex:

pgon = polyshape([3,5,1],[9,3,6]); %Polygon Creation

fun_name=@(x,y)sum(x,y); %Function Creation

val_name=integPoly(function,pgon); %Integration function call

Created By: Audra Smith

2024/12/04

Adapted from

https://stackoverflow.com/questions/40448314/how-to-integrate-over-a-triangle-in-matlab

Big thank you to https://stackoverflow.com/users/1947677/itay