difference between trapz and just summing

30 次查看(过去 30 天)
Dear everybody, I was wondering what is the difference between the function trapz and the sum as used below. It appears to be about the same. I am just trying to find the intersection between two histograms:
h = [16, 45, 23, 1]
g = [18, 38, 27, 5]
hn = h./sum(h);
gn = g./sum(g);
intersection = trapz(min([hn;gn]);
intersection = sum(min([hn;gn]));
Which one would be favorable over the other. It appears trapz should be better approximation.

回答(1 个)

Matt J
Matt J 2013-4-16
If the function you've sampled and are integrating is piece-wise constant, then summing its samples will be ideal. If instead, it is piece-wise linear, the trapezoidal approximation will be ideal. You have to decide which situation more accurately describes your function.

类别

Help CenterFile Exchange 中查找有关 Numerical Integration and Differentiation 的更多信息

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by