of order one are step functions defined by
Building a B-Spline
Surface from Elevation Data in OpenGL
In order to keep the splines zero-mean, instead of the original exponential B-spline
[beta](t), we shall use a real-valued function
In this section the B-spline
concept will be extended to two dimensions in order to fit two dimensional scattered data by a surface function.
Here we have introduced two extra cubic B-splines
In above equations, Pi's are the n+1 defining polygon vertices, k is the order of the B-spline
Ristic, "Efficient fitting of Non-Uniform Rational B-Spline
surfaces using non-organized 3D data," SPIE'S.
Hence a second time domain representation of the complex B-spline
is given by
Least-Squares Fitting of Data with B-Spline
Some topics covered include: B-spline
surfaces, Box-spline surfaces, convergence and smoothness, evaluation and estimation of surfaces, and shape control.
We used a cubic B-spline
at the center of our domain of interest as the right hand side.
In order to reduce the amount of data, the polygonal lines are compressed with B-spline
We estimate the tensor-product B-spline
coefficients from values of |B| computed on a grid by a numerical code that numerically solves the Biot-Savart law numerically corresponding to the geometry of the solenoid and current bars that produce the magnetic field.
In the 1990s, CAD/CAM's mathematics advanced to surfaces, utilizing nonuniform rational B-spline
(NURBS) technology, which provided support for significantly more complex shapes.
These features include a B-Spline
tool, updated artistic media, scalable arrowheads, enhanced Connector and Dimension tools, and the new Segment Dimension tool.