I want to find the center of a contour without doing so much calculations. Is there a built in function for that in opencv?
Either you haven't done any research, or these questions already asked and answered here are not what you are asking:
centroid of contour/object in opencv in c?
OpenCV 2 Centroid
If latter is the case, please elaborate the question in more detail.
To answer your question:
There is no built in function. Checkout berak for copypasta code that solves your problem.
for the 'geometric center', get the boundingRect() of the contour, then:
cx = br.x+br.width/2; cy = br.y+br.height/2;
for the 'center of mass' get the moments() of the contour, then:
cx = m.m10 / m.m00; cy = m.m01 / m.m00;