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Differentiate among interpolation spline and approximation spline?
When the spline curve passes by all the control points then it is known as interpolate.
When the curve is not passing by all the control points then that curve is known as approximation spline.
To prove ‾P (1) = p n Solution : since in the above case we determine each term excluding B n,n (u) will have numerous of (1 - u) i (i = 0 to n) consequently by using u = 1
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