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Generate long piecewise function

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Walter Biribicchi
Walter Biribicchi on 1 May 2020
Answered: Image Analyst on 4 May 2020
Hello,
I'm trying to implement a piecewise function in a for loop.
Basically I have a linear slope defined by two heights at the ends, and I want to discretize that slope into a piecewise function with an high number of member (10, 30, 100 or input-defined).
The best way I could think of was generating a string through a series of for loop (and a lot of num2str like functions) and copy-pasting it in the argument of a piecewise function, eg:
piecewise(0<=x<=0.16933,0.54111,0.16933<=x<=0.33867,......)
I'm sure there is a better way or a built-in fuction but cannot find anything

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Answers (2)

Guru Mohanty
Guru Mohanty on 4 May 2020
Hi, you want to get piecewise value of the slope between two heights. You can use interp1and gradientfunction for this. Here is a sample code for it.
clc;clear all;
t1=0;t2=10; % Define position of two heights
height1=3; % Define Values of Two Heights
height2=5;
n=500; % Set Number of Members
tnew=linspace(t1,t2,n);
y1=interp1([t1 t2],[height1 height2],tnew);
slope=gradient(y1,tnew);

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Image Analyst
Image Analyst on 4 May 2020
See my piecewise linear fit demo.

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