#include <UCBsplineSurface.h>
Public Member Functions | |
| SplineSurface () | |
| SplineSurface (boost::shared_ptr< GenMatrixType > PHI, double umin, double vmin, double umax, double vmax) | |
| SplineSurface (const SplineSurface &surf) | |
| void | init (boost::shared_ptr< GenMatrixType > PHI, double umin, double vmin, double umax, double vmax) |
| void | getDomain (double &umin, double &vmin, double &umax, double &vmax) const |
| double | umin () const |
| double | vmin () const |
| double | umax () const |
| double | vmax () const |
| double | f (double u, double v) const |
| double | f (int i, int j) const |
| void | normalVector (double u, double v, double &gx, double &gy, double &gz) const |
| void | normalVector (int i, int j, double &gx, double &gy, double &gz) const |
| void | derivatives (double u, double v, double &dx, double &dy) const |
| void | secondDerivatives (double u, double v, double &ddx, double &ddy, double &dxdy) const |
| void | curvatures (double u, double v, double &profC, double &planC) const |
| void | eval (double u, double v, double &z, double &gx, double &gy, double &gz) const |
| void | eval (int i, int j, double &z, double &gx, double &gy, double &gz) const |
| const boost::shared_ptr< GenMatrixType > | getCoefficients () const |
| void | getIndexDomain (int &m, int &n) const |
| void | refineCoeffs () |
| bool | restrictCoeffs () |
SplineSurface - A uniform cubic B-spline surface compatible with that produced by the SINTEF MBA library.
| UCBspl::SplineSurface::SplineSurface | ( | ) | [inline] |
Default constructor makes the domain over the unit square, but coefficient matrix is not allocated.
| SplineSurface::SplineSurface | ( | boost::shared_ptr< GenMatrixType > | PHI, | |
| double | umin, | |||
| double | vmin, | |||
| double | umax, | |||
| double | vmax | |||
| ) |
Constructor with (standard) shared pointers to the uniform tensor product grid, and the domain.
| SplineSurface::SplineSurface | ( | const SplineSurface & | surf | ) |
Copy constructor
| void SplineSurface::init | ( | boost::shared_ptr< GenMatrixType > | PHI, | |
| double | umin, | |||
| double | vmin, | |||
| double | umax, | |||
| double | vmax | |||
| ) |
Initialization similar to constructor
| void UCBspl::SplineSurface::getDomain | ( | double & | umin, | |
| double & | vmin, | |||
| double & | umax, | |||
| double & | vmax | |||
| ) | const [inline] |
The domain over which the spline surface is defined.
| double SplineSurface::f | ( | double | u, | |
| double | v | |||
| ) | const |
Evaluates the functional value of the surface in position (u,v) (u,v) must be inside the domain
| double SplineSurface::f | ( | int | i, | |
| int | j | |||
| ) | const |
Evaluates the functional value of the surface in position (i,j), where (i,j) is an index in the spline coefficient matrix. (i,j) must be inside the domain of the index values: 0 <= i <= m and 0 <= j <= n, where m_ and n_ are retrieved by the function getIndexDomain This is much faster than f(u,v) since pre-evaluate bases are used.
| void SplineSurface::normalVector | ( | double | u, | |
| double | v, | |||
| double & | gx, | |||
| double & | gy, | |||
| double & | gz | |||
| ) | const |
Evaluates the normal vector (normalized with length=1) in position in position (u,v). (u,v) must be inside the domain, see getDomain
| void SplineSurface::normalVector | ( | int | i, | |
| int | j, | |||
| double & | gx, | |||
| double & | gy, | |||
| double & | gz | |||
| ) | const |
Same as gradf(double u, double v,...), in a grid point. See also documentation of f(int i, int j).
| void SplineSurface::eval | ( | double | u, | |
| double | v, | |||
| double & | z, | |||
| double & | gx, | |||
| double & | gy, | |||
| double & | gz | |||
| ) | const |
Evaluates both function value and normalized normal vector. (u,v) must be inside the domain, see getDomain. This is faster than calling the functions above separately, e.g., when making triangle strips for visualization.
| void SplineSurface::eval | ( | int | i, | |
| int | j, | |||
| double & | z, | |||
| double & | gx, | |||
| double & | gy, | |||
| double & | gz | |||
| ) | const |
Same as eval(double u, double v,...), in a grid point. See also documentation of UCBsplineSurface::f (int i, int j).
| const boost::shared_ptr<GenMatrixType> UCBspl::SplineSurface::getCoefficients | ( | ) | const [inline] |
Get the coefficient grid of the tensor product spline surface.
| void UCBspl::SplineSurface::getIndexDomain | ( | int & | m, | |
| int & | n | |||
| ) | const [inline] |
Index domain of spline coefficient matrix. The surface can also be evaluated by f(i,j) and other functions with 0 <= i <= m and 0 <= j <= n. Note that the size of the tensor product grid (in the C2 case) is [(m+3) x (n+3)]
| void SplineSurface::refineCoeffs | ( | ) |
Refine spline surface to the next finer dyadic level. That is, make the tensor product grid twice as dense inside the active domain. Only the mathematical representation of the spline surface is changed, and not the geometry. (Simlar to the Oslo Algorithm.)
| bool SplineSurface::restrictCoeffs | ( | ) |
Restrict the spline surface to the next coarser dyadic level. That is, make the tensor product grid twice as coarse inside the active domain. Both the mathematical representation and the geometry of the spline surface is changed. The effect is that the spline surfaces looks smoother. This operator has the so-called variational property with respect to the refinement operator above.
| bool | false if the coefficient grid does not meet the constraints above |
1.5.1