Question:Question 4 (4 marks) (a) State TWO advantages of using B-spline curve (b) Given a set of data points Po- (0,0,0), P(...
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Question 4 (4 marks) (a) State TWO advantages of using B-spline curve (b) Given a set of data points Po- (0,0,0), P(...
Question 4 (4 marks) (a) State TWO advantages of using B-spline curve (b) Given a set of data points Po- (0,0,0), P(2,-1,-1), P-(1,2.2) on the curve Q. A B-spline curve calculated by: P(,)-Σ N,,0)I, where N,,0-11 fort, sl < 0 otherwise" 1) Nikiのwith 3 control points and knot vector defined 1-1.) N'서の+ N,,(t)- Itt by [0 0 0 1 1 刂is used to represent the curve. (2 marks) What type of B-spline curve is this? (i) (2 marks) (i) What is the order of P(1) (9 marks) Determine all basis functions. (iii) Using the chord length between the data points, determine the parameter values. (iv) (3 marks) (S marks) Determine the coordinates of each control point of the curve. (v)
Question 4 (4 marks) (a) State TWO advantages of using B-spline curve (b) Given a set of data points Po- (0,0,0), P(2,-1,-1), P-(1,2.2) on the curve Q. A B-spline curve calculated by: P(,)-Σ N,,0)I, where N,,0-11 fort, sl
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