How to Interpolate points between a range of data (n X 2) based on values from another vector?

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I'm fairly new to interpolation. So here it is, Three vectors of same length. Vector 'Time' has a constant step size. Vector RPM and Torque does not have relation with other vectors.
The aim is to have multiple points between every interval. The no. of points required to interpolate should be specified by the user (by global parameter). How can I increase the number of points using any of MATLAB's interpolation function ?
I'm not quite sure on how to input the method for this type of interpolation in the function definition.
Thanks in advance! :)

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KSSV
KSSV 2016-10-27
% values in hand
x = linspace(0,2*pi,10) ;
y = sin(x); % y = f(x)
% inteprolation
N = 100 ; % Take any values
xi = linspace(min(x),max(x),N) ;
figure
yi = interp1(x,y,xi);
plot(x,y,'o',xi,yi,':.');
xlim([0 2*pi]);
title('(Default) Linear Interpolation');
doc interp1

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