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Suppose P be the point object along with the coordinate (x,y,z). We want to translate such object point to the new position as, P'(x',y',z') through the translation Vector as V=tx.I+ty.J+tz.K , here tx , ty and tz are the translation factor into the x, y, and z directions correspondingly, as demonstrated in Figure 8. It is, a point (x,y,z) is shifted to (x+ tx,y+ ty,z+ tz). Hence the new coordinates of a point can be written:
In terms of homogeneous coordinates, above equation becomes:
That is: P'h = Ph.Tv
To prove: P (u = 0) = p0 Solution : = p 0 B n,0 (u) + p 1 B n, 1 (u) +...... + p n B n, n (u)...............(1) B n,i (u) = n c i u i (1 - u) n-i B n,0
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Working of vecgen algorithm with diagram
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If the spacing between the knot sequence is uniformly doubled, will the shape of the resulting B-spline curve change? Justify your answer.
Write a C code for generating concentric circles. Put the circle function circleMidpoint()in a for loop as follows: for( int radius = MinRadius; radius circleMidpoint(i
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