Hermite Parametric Bicubic Patch Defined by the Tensor Product

Bézier surfaces with prescribed diagonals

“…Therefore, this linear combination of equations in system ( 9) is a linear combination of the equations in (10). In other words, as mentioned before, Eq.…”

“…( 11) must vanish for all P r,s in the control net, λ r+s + µ n+r−s = 0, the linear combination coefficients are opposites, as in Eq. (10). This happens for all sums r + s, so we have λ r+s = λ r−i+s+i = −µ n+r−s+2i , in other words, all λ r+s coefficients with the same parity of subindex are the opposite of all µ r+s coefficients with the same parity.…”

“…Based on the concept of diagonal curve, [10] and [4] respectively proposed S-Patch and BS-Patch. The authors of paper [11] added some requirements for the main diagonals of a Hermite bicubic patch to be able to adapt to a triangular scheme.…”