18
B - sp l i n es
B-spline is a single piecewise polynomial curve passing through a given set of control
points. B-splines exhibit a local control. Whenever a single vertex is moved, only those vertices
around that will be affected while the rest remains the same.
Figure 1.9B - sp l in e cu rves
1.3.4.Wireframe model with linear edge
Wireframe models with linear edges consist of straight-line segments joining pair of
points. For example, a tetrahedron consists of four points in space with six linear edges joining
pairs of these points are shown in the figure. The geometry of the tetrahedron is represented
by a vertex list giving the (x,y,z)coordinates of its vertices.
Line ar wire f rame mode l of t et rahe dr on
Vertex listEdge list Edge type
V1 (0,0,0)E1 (Vl.V2) Linear
V 2 (0 ,0 ,1 ) E2 (V2,V3) Linear
V3 (1,0,0)E3 (V3,V1) Linear
V4 (0,1,0)E4 (V3,V4) Linear
E5 (V1,V4) Linear
E6 (V4,V2) Linear
1.3.5.Wireframe model with curvilinear edges
Figure 1.11 W i ref ra me mo d el o f co n e
18
B - sp l i n es
B-spline is a single piecewise polynomial curve passing through a given set of control
points. B-splines exhibit a local control. Whenever a single vertex is moved, only those vertices
around that will be affected while the rest remains the same.
Figure 1.9B - sp l in e cu rves
1.3.4.Wireframe model with linear edge
Wireframe models with linear edges consist of straight-line segments joining pair of
points. For example, a tetrahedron consists of four points in space with six linear edges joining
pairs of these points are shown in the figure. The geometry of the tetrahedron is represented
by a vertex list giving the (x,y,z)coordinates of its vertices.
Line ar wire f rame mode l of t et rahe dr on
Vertex listEdge list Edge type
V1 (0,0,0)E1 (Vl.V2) Linear
V 2 (0 ,0 ,1 ) E2 (V2,V3) Linear
V3 (1,0,0)E3 (V3,V1) Linear
V4 (0,1,0)E4 (V3,V4) Linear
E5 (V1,V4) Linear
E6 (V4,V2) Linear
1.3.5.Wireframe model with curvilinear edges
Figure 1.11 W i ref ra me mo d el o f co n e
18
B - sp l i n es
B-spline is a single piecewise polynomial curve passing through a given set of control
points. B-splines exhibit a local control. Whenever a single vertex is moved, only those vertices
around that will be affected while the rest remains the same.
Figure 1.9B - sp l in e cu rves
1.3.4.Wireframe model with linear edge
Wireframe models with linear edges consist of straight-line segments joining pair of
points. For example, a tetrahedron consists of four points in space with six linear edges joining
pairs of these points are shown in the figure. The geometry of the tetrahedron is represented
by a vertex list giving the (x,y,z)coordinates of its vertices.
Line ar wire f rame mode l of t et rahe dr on
Vertex listEdge list Edge type
V1 (0,0,0)E1 (Vl.V2) Linear
V 2 (0 ,0 ,1 ) E2 (V2,V3) Linear
V3 (1,0,0)E3 (V3,V1) Linear
V4 (0,1,0)E4 (V3,V4) Linear
E5 (V1,V4) Linear
E6 (V4,V2) Linear
1.3.5.Wireframe model with curvilinear edges
Figure 1.11 W i ref ra me mo d el o f co n e