pub fn rational_surface_derivatives<P: Blend>(
ku: &KnotVector,
kv: &KnotVector,
grid: &ControlGrid<Weighted<P>>,
u: f64,
v: f64,
order: usize,
tol: Tolerances,
) -> OgeomResult<DerivativeGrid<P>>Expand description
Evaluate a rational surface and its partial derivatives up to total order
order.
The two-parameter quotient rule. Each mixed partial subtracts the weight’s
influence in u, in v, and in both together; dropping the last of those
three sums is the classic error, and it only shows up on genuinely rational
surfaces with mixed derivatives, which is to say, on exactly the spheres and
tori where the answer matters.