MATLAB: Spacing points on a 2D plot evenly

interparcplotting

Im plotting a 2D closed boundary but the points going around a curve of the boundary are spaced closely to each other. The points on a straight section are spaced further away from each other. The boundary is smooth.

Is there any way to make the distance between each point the same, without changing the structure of the shape?

Best Answer

Calculate the distance between adjacent points. Create a cumulative sum of that. Divide the total distance up into as many equal segments as you desire. Use the cumulative sum to locate the adjacent points that each of the equal-length segments would fall between. The difference between the required distance and the point before, divided by the length of the segment, gives you a proportion. The proportion times the delta x and the delta y between the point and the next point gives you the delta x and delta y relative to the first point at which to place your equal-distance point.

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MATLAB: How to calculate the Taylor series expansion of e^x

I changed things slightly. Look carefully at the changes I made.

tolerance = 0.000001;
old_sum = 1;
new_sum = 0;
current_term = inf;
iter = 0;
while abs(current_term/old_sum) >= tolerance
    old_sum = new_sum;
    current_term = (x^iter)/myFactorial(iter);
    new_sum = new_sum + current_term;
    iter = iter + 1;
end
steps = iter;

Note that the difference between the two approximations is the variable now named current_term. So I could have written the test to work on this:

abs((new_sum - old_sum)/old_sum)

but we know what the difference in the numerator is already.

As far as incrementing both i AND the variable steps, WHY? As well, it is a bad idea to use the variable i, since i already exists in MATLAB as sqrt(-1). Better to form good habits early in your career. So I changed i to iter.

I tested the code above. It works. But be careful, for large x, it will be a problem. You should know that already, if you have discussed convergence of series in class.

MATLAB: Can I create points on polygon with specific distance between them

This is what interparc does. See John D'Errico's File Exchange: interparc

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