B SPLINE CURVE ON SURFACE

ENTITY B SPLINE CURVE ON SURFACE = STRUCTURE surface rational uniform bezier degree... 

B SPLINE CURVE ON SURFACE ( name name logical, logical, integer, integer, ... 

In the 1950s, to develop a mathematical representation for the autobody surface, Pierre Bezier, at Renault in France, first published his work on spline that is represented with control points on the curve, which is now commonly referred to as the Bezier spline. Figure 2.9a illustrates a Bezier curve in solid line with four control points, 1,2,3, and 4, and its control polygon in dashed line, and Figure 2.9b illustrates two B-spline curves, each with multiple Bezier arcs, in solid, dash, or dot line, with a unified mechanism defining continuity at the joints. 

One of the commonly used method for solid modeling is the boundary-representation (B-rep) method. In the method one builds up the boundary surface model of a solid object with a net work of spline curves. In order to see the role the tension parameter plays on the shape controlling of surface models, we start with a brief discussion of cubic interpolating curves with tension control. The conventional cubic interpolating curve has the basic form of... 

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