It can also contain images. 6 The Label widget is used to provide a single-line caption for other widgets. Python program.

Like the B-spline patches, Coons patches are also convenient to manipulate. The condition estimate of Matlab yields cond2(A) = 20.6386.

I have a satellite orbit simulation in Matlab (Using Runge Kutta 4). It seems ugly and I don't know how to fix it.

I want to create s coons patch surface from four boundary curves s1(u), s2(u) q1(v), q2(v) I know that equations are the following (added screenshots from a presentation): There are a few parts of the equations that are not fully understand and i did not find any good explanation:. In s1(u,v) what is the meaning of p1v(u) and p2v(u)? Same goes for q1u(v) and q2u(v) in s2(u,v). In the A matrix, what is the meaning of A00(u,v).A11(u,v).

What would be the value of these parameters if p1,p2 are only functions of u (and not v) and q1,q2 are only function of v. I would appreciate any help on this issue. Basically they have used superscripts to denote derivatives or partial derivatives. As we are building bi-cubic coons patches we will be using.

These require both the positions and the tangents as inputs. So for the first edge P 1(u) is the parametrisation of the curve and P 1 v(u) is the tangent across the edge.

Any point in a surface actually has two tangents the other being P 1 u(u) along the edge which is just dP 1(u) / du. For the A matrix, this takes the four corner points of the patches and the derivatives.

For the point A 00 it uses the two first derivatives ∂S / ∂u = A 00 u and ∂S / ∂v = A 00 u and one of the second derivatives ∂ 2S / ∂u ∂v = A 00 uv. (I've used S for for the function defining the surface here). As the derivatives of the curves along the edges must match the derivatives at the corners we have some further conditions.

A 00 u = ∂S / ∂u = P 1 u(0) = Q 1 u(0) = dP 1 / du (0). A 00 v = ∂S / ∂v = P 1 v(0) = Q 1 v(0) = dQ 1 / dv (0). A 00 uv = ∂ 2S / ∂u∂v = ∂P 1 v/∂u (0) = ∂Q 1 u/∂u (0).