Pappus

Bernstein Polynomials

Degree

The Bernstein Polynomials form the basis for polynomials in bezier form.

de Casteljau Algorithm

Curve

Draw deCasteljau construction

Point labels:

deCasteljau Parameter

t =  0.000

Bezier Points

x: y:

Move points by dragging them with your mouse, and add or remove them using the controls on the right.

Change the parameter t on the right to set the ratio for the de Casteljau construction.

Change the labeling scheme to see which points are calculated in the de Casteljau scheme or how to arrive at the points using the polar form.

Degree Elevation

Curve

Triangular Patch

Triangular Patch Show Surface
deCasteljau Parameter a =
b =
c =

A triangular patch with the construction of the de Casteljau Algorithm. Drag the red point on the right control panel to change the de Casteljau Parameter. The black triangle is the parameter domain.

You can move the control points in the xy-Plane by dragging them with the mouse. Use shift + drag to move them up/ down.

Drag the mouse to rotate the camera.