Describes a rational or non-rational Bezier surface -- A non-rational Bezier surface is defined by a table of poles (also known as control points). -- A rational Bezier surface is defined by a table of poles with varying associated weights. Returns the polynomial degree in u direction of this Bezier surface, which is equal to the number of poles minus 1. Returns the polynomial degree in v direction of this Bezier surface, which is equal to the number of poles minus 1. Returns the value of the maximum polynomial degree of any Bezier surface. This value is 25. Returns the number of poles in u direction of this Bezier surface. Returns the number of poles in v direction of this Bezier surface. Returns the parametric bounds (U1, U2, V1, V2) of this Bezier surface. Returns false if the equation of this Bezier surface is polynomial (e.g. non-rational) in the u or v parametric direction. In other words, returns false if for each row of poles, the associated weights are identical Returns false if the equation of this Bezier surface is polynomial (e.g. non-rational) in the u or v parametric direction. In other words, returns false if for each column of poles, the associated weights are identical Returns false. Returns false. Checks if this surface is closed in the u parametric direction. Returns true if, in the table of poles the first row and the last row are identical. Checks if this surface is closed in the v parametric direction. Returns true if, in the table of poles the first column and the last column are identical. increase(Int=DegreeU,Int=DegreeV) Increases the degree of this Bezier surface in the two parametric directions. Inserts into the table of poles of this surface, after the column of poles of index. If this Bezier surface is non-rational, it can become rational if the weights associated with the new poles are different from each other, or collectively different from the existing weights in the table. Inserts into the table of poles of this surface, after the row of poles of index. If this Bezier surface is non-rational, it can become rational if the weights associated with the new poles are different from each other, or collectively different from the existing weights in the table. Inserts into the table of poles of this surface, before the column of poles of index. If this Bezier surface is non-rational, it can become rational if the weights associated with the new poles are different from each other, or collectively different from the existing weights in the table. Inserts into the table of poles of this surface, before the row of poles of index. If this Bezier surface is non-rational, it can become rational if the weights associated with the new poles are different from each other, or collectively different from the existing weights in the table. removePoleRow(int=VIndex) Removes the column of poles of index VIndex from the table of poles of this Bezier surface. If this Bezier curve is rational, it can become non-rational. removePoleRow(int=UIndex) Removes the row of poles of index UIndex from the table of poles of this Bezier surface. If this Bezier curve is rational, it can become non-rational. segment(double=U1,double=U2,double=V1,double=V2) Modifies this Bezier surface by segmenting it between U1 and U2 in the u parametric direction, and between V1 and V2 in the v parametric direction. U1, U2, V1, and V2 can be outside the bounds of this surface. -- U1 and U2 isoparametric Bezier curves, segmented between V1 and V2, become the two bounds of the surface in the v parametric direction (0. and 1. u isoparametric curves). -- V1 and V2 isoparametric Bezier curves, segmented between U1 and U2, become the two bounds of the surface in the u parametric direction (0. and 1. v isoparametric curves). The poles and weights tables are modified, but the degree of this surface in the u and v parametric directions does not change.U1 can be greater than U2, and V1 can be greater than V2. In these cases, the corresponding parametric direction is inverted. The orientation of the surface is inverted if one (and only one) parametric direction is inverted. Set a pole of the Bezier surface. Set the column of poles of the Bezier surface. Set the row of poles of the Bezier surface. Get a pole of index (UIndex,VIndex) of the Bezier surface. Get all poles of the Bezier surface. Set the weight of pole of the index (UIndex, VIndex) for the Bezier surface. Set the weights of the poles in the column of poles of index VIndex of the Bezier surface. Set the weights of the poles in the row of poles of index UIndex of the Bezier surface. Get a weight of the pole of index (UIndex,VIndex) of the Bezier surface. Get all weights of the Bezier surface. Computes two tolerance values for this Bezier surface, based on the given tolerance in 3D space Tolerance3D. The tolerances computed are: -- UTolerance in the u parametric direction and -- VTolerance in the v parametric direction. If f(u,v) is the equation of this Bezier surface, UTolerance and VTolerance guarantee that: |u1 - u0| < UTolerance |v1 - v0| < VTolerance ====> ||f(u1, v1) - f(u2, v2)|| < Tolerance3D Exchanges the u and v parametric directions on this Bezier surface. As a consequence: -- the poles and weights tables are transposed, -- degrees, rational characteristics and so on are exchanged between the two parametric directions, and -- the orientation of the surface is reversed. Builds the U isoparametric Bezier curve of this Bezier surface Builds the V isoparametric Bezier curve of this Bezier surface