I want to understand cubic BSpline surface( very hard for me to figure out). I prefer matrix form which presented here. Equation 4.12 in page 33, describes how data point should be presented
U*M*D*M'*V' and since I am looking for uniform presentation of Bspline just I assume u and v values are [ 0, .1,.2,...,.9,1];
but in page 32. figure 4.3 it shows 3D model which has (x,y and z) values. I am confused now, based on equation we have
D as a set of control points (4x4). but based on that figure each point should have 3 values( x,y,z). is anybody can help me based on that figure and numerical example?
I am confused more than 3 weeks and still I cannot figure out cubic uniform BSpline interpolation. I need a numerical example based on matrix form step by step if anyone can help me.
Thanks a lot