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xccurv User’s Guide . . .
Chapter 11
Functions buttons
These buttons provide the visualization of some different functions. These
are very useful when you need to inspect the analytic and shape characteristics of the active curve.
XCCurv is able to show all these functions contemporarily and to resize each
function window to better understand the function details.
11.1
RB-Spline button
This option shows the graphs of the basis function for the NURBS space
R(Pm , M, ∆, W ) to which the active curve belongs.
11.2
X = C1 (t) and Y = C2 (t) buttons.
These options show the graphs of the components of the active curve. The
control polygons of these functions that have vertices (ξi , xi )i=1,...,m+K (or
(ξi , yi )i=1,...,m+K ) are also shown. The ξi are the nodes and (xi , yi ) are the
control point coordinates.
If the active curve has been created by interpolation or approximation, the
points (ti , xi ) (o (ti , yi )) where ti are the parameter values associated to the
interpolation or approximation points (xi , yi ) will be shown.
11.3
W (t) button
This option shows the graph of the weight function, that is the denominator
function of the rational active curve.
11.4
X = C10 (t) and Y = C20 (t) buttons
These options show the graphs of the first derivative functions of the curve
component functions.