Ozlem Salman (13.week unanswered terms)

1 B spline surface

The same tensor product method used with Bezier curves can extend B-splines to describe B-spline surfaces. A rectangular set of data (control) points creates the surface. this set forms the vertices of the characteristic polyhedron that approximates and controls the shape of the resulting surface. (CAD/CAM Theory and Practice, İbrahim Zeid, McGraw Hill. 1991, p300.)
2 Coons patch

All the surface methods introduced thus far share one common philosophy; that is, they all require a finite number of data points to generate the respective surfaces. In contrast, a coons surface patch is a form of "transfinite interpolation" which indicates that the coons scheme interpolates to an infinite number of data points, that is, to all points of a cureve segment, to generate the surface. coons patch paticularly useful in blending four prescribed intersecting curves which form a closed boundary . (CAD/CAM Theory and Practice, İbrahim Zeid, McGrawHill, 1991. p304)

3Bilinear surface

A bilinear surface is a linear interpolation of the four corner points in the u and v direction. Only four corner points need to be supplied, but the boundaries of the bilinear surfaces are straight and surface generally tends to be flat. (CAD/CAM Theory and Practice, İbrahim Zeid, McGrawHill,1991. p294)

4Blending surface

This is a surface that connects two nonadjacent surfaces or patches. The blending surface is usually created to manifest C0 and C1 contuniuty with the two given patches. for patches or other orders, a B-spline blending surface may be generated in the following scenario. A set of points and their related v- tangent vectorsbeginning with P1 and ending with P2 can be geneareted along the v=1 edge of patch 1. smilarly a corresponding set can be generated along the v=0 edge of patch 2. cubic spline curve can now be created between the two sets. These curves can be used to generate an ordered rectangular set of points that can be connected with the B- spline surface which becomes the belending surface. (CAD/CAM theory an Practice, İbrahim Zeid, McGrawHill,1991, p309-310)