CLICK HERE TO DOWNLOAD PPT ON B-SPLINE
B-Spline Presentation Transcript
1.B-Spline
Motivation (recall bezier curve)
The degree of a Bezier Curve is determined by the number of control points
E. g. (bezier curve degree 11) – difficult to bend the "neck" toward the line segment P4P5.
Of course, we can add more control points.
BUT this will increase the degree of the curve ? increase computational burden
Motivation (recall bezier curve)
The degree of a Bezier Curve is determined by the number of control points
E. g. (bezier curve degree 11) – difficult to bend the "neck" toward the line segment P4P5.
Of course, we can add more control points.
BUT this will increase the degree of the curve ? increase computational burden
2.Motivation (recall bezier curve)
Joint many bezier curves of lower degree together (right figure)
BUT maintaining continuity in the derivatives of the desired order at the connection point is not easy or may be tedious and undesirable.
Joint many bezier curves of lower degree together (right figure)
BUT maintaining continuity in the derivatives of the desired order at the connection point is not easy or may be tedious and undesirable.
3.Type of B-Spline uniform knot vector
4.Type of B-Spline knot vector
5.Non-periodic (open) uniform B-Spline
6.B-Spline basis function
7.Find the knot values of a non periodic uniform B-Spline which has degree = 2 and 3 control points. Then, find the equation of B-Spline curve in polynomial form.
Posts
0 comments