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Classes |
| class | BernsteinMulti |
| | Class that implements bivariate tensor product Bernstein polynomials on the domain [0,1]x[0,1]. More...
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| class | BernsteinPoly |
| | Class that implements Bernstein polynomials on the interval [0,1]. More...
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| class | BernsteinTetrahedralPoly |
| | Class that implements Bernstein polynomials on a tetrahedron. More...
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| class | BernsteinTriangularPoly |
| | Class that implements Bernstein polynomials on a triangle. More...
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| class | BezierTriangle |
| | Not documented. More...
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| class | Binomial |
| | Class that computes the binomial coefficients. More...
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| class | ImplicitizeCurveAlgo |
| | Class that implements an implicitization algorithm for spline curves. More...
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| class | ImplicitizeCurveAndVectorAlgo |
| | Class that implements an algorithm for finding an implicit ruled surface defined by a curve and a vector. More...
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| class | ImplicitizePointCloudAlgo |
| | Class that implements an algorithm for finding an implicit surface from a 3D point cloud. More...
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| class | ImplicitizeSurfaceAlgo |
| | Class that implements an implicitization algorithm for spline surfaces. More...
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Functions |
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BernsteinMulti | operator * (const BernsteinMulti &m1, const BernsteinMulti &m2) |
| | Multiplication of two polynomials.
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BernsteinMulti | operator * (const BernsteinMulti &m1, double c) |
| | Multiplication of a polynomial with a scalar.
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BernsteinMulti | operator * (double c, const BernsteinMulti &m1) |
| | Multiplication of a scalar with a polynomial.
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BernsteinMulti | operator+ (const BernsteinMulti &m1, const BernsteinMulti &m2) |
| | Addition of two polynomials.
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BernsteinMulti | operator+ (const BernsteinMulti &m, double c) |
| | Addition of a polynomial with a scalar.
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BernsteinMulti | operator+ (double c, const BernsteinMulti &m) |
| | Addition of a scalar with a polynomial.
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BernsteinMulti | operator- (const BernsteinMulti &m1, const BernsteinMulti &m2) |
| | Subtraction of two polynomials.
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BernsteinMulti | operator- (const BernsteinMulti &m, double c) |
| | Subtraction of a scalar from a polynomial.
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BernsteinMulti | operator- (double c, const BernsteinMulti &m) |
| | Subtraction of a polynomial from a scalar.
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BernsteinMulti | operator/ (const BernsteinMulti &m, double c) |
| | Division of a polynomial with a scalar.
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BernsteinPoly | operator * (const BernsteinPoly &p1, const BernsteinPoly &p2) |
| | Multiplication of two polynomials.
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BernsteinPoly | operator * (const BernsteinPoly &p, double c) |
| | Multiplication of a polynomial with a scalar.
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BernsteinPoly | operator * (double c, const BernsteinPoly &p) |
| | Multiplication of a scalar with a polynomial.
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BernsteinPoly | operator+ (const BernsteinPoly &p1, const BernsteinPoly &p2) |
| | Addition of two polynomials.
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BernsteinPoly | operator+ (double c, const BernsteinPoly &p) |
| | Addition of a scalar with a polynomial.
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BernsteinPoly | operator+ (const BernsteinPoly &p, double c) |
| | Addition of a polynomial with a scalar.
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BernsteinPoly | operator- (const BernsteinPoly &p1, const BernsteinPoly &p2) |
| | Subtraction of two polynomials.
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BernsteinPoly | operator- (double c, const BernsteinPoly &p) |
| | Subtraction of a polynomial from a scalar.
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BernsteinPoly | operator- (const BernsteinPoly &p, double c) |
| | Subtraction of a scalar from a polynomial.
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BernsteinPoly | operator/ (const BernsteinPoly &p, double c) |
| | Division of a polynomial with a scalar.
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BernsteinTetrahedralPoly | operator * (const BernsteinTetrahedralPoly &p1, const BernsteinTetrahedralPoly &p2) |
| | Multiplication of two polynomials.
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BernsteinTetrahedralPoly | operator * (const BernsteinTetrahedralPoly &p, double c) |
| | Multiplication of a polynomial with a scalar.
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BernsteinTetrahedralPoly | operator * (double c, const BernsteinTetrahedralPoly &p) |
| | Multiplication of a scalar with a polynomial.
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BernsteinTetrahedralPoly | operator+ (const BernsteinTetrahedralPoly &p1, const BernsteinTetrahedralPoly &p2) |
| | Addition of two polynomials.
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BernsteinTetrahedralPoly | operator+ (double c, const BernsteinTetrahedralPoly &p) |
| | Addition of a scalar with a polynomial.
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BernsteinTetrahedralPoly | operator+ (const BernsteinTetrahedralPoly &p, double c) |
| | Addition of a polynomial with a scalar.
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BernsteinTetrahedralPoly | operator- (const BernsteinTetrahedralPoly &p1, const BernsteinTetrahedralPoly &p2) |
| | Subtraction of two polynomials.
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BernsteinTetrahedralPoly | operator- (double c, const BernsteinTetrahedralPoly &p) |
| | Subtraction of a polynomial from a scalar.
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BernsteinTetrahedralPoly | operator- (const BernsteinTetrahedralPoly &p, double c) |
| | Subtraction of a scalar from a polynomial.
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BernsteinTetrahedralPoly | operator/ (const BernsteinTetrahedralPoly &p, double c) |
| | Division of a polynomial with a scalar.
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std::istream & | operator>> (std::istream &is, Go::BernsteinTetrahedralPoly &p) |
| | Read BernsteinTetrahedralPoly from input stream.
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std::ostream & | operator<< (std::ostream &os, const Go::BernsteinTetrahedralPoly &p) |
| | Write BernsteinTetrahedralPoly to output stream.
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BernsteinTriangularPoly | operator * (const BernsteinTriangularPoly &p1, const BernsteinTriangularPoly &p2) |
| | Multiplication of two polynomials.
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BernsteinTriangularPoly | operator * (const BernsteinTriangularPoly &p, double c) |
| | Multiplication of a polynomial with a scalar.
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BernsteinTriangularPoly | operator * (double c, const BernsteinTriangularPoly &p) |
| | Multiplication of a scalar with a polynomial.
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BernsteinTriangularPoly | operator+ (const BernsteinTriangularPoly &p1, const BernsteinTriangularPoly &p2) |
| | Addition of two polynomials.
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BernsteinTriangularPoly | operator+ (double c, const BernsteinTriangularPoly &p) |
| | Addition of a scalar with a polynomial.
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BernsteinTriangularPoly | operator+ (const BernsteinTriangularPoly &p, double c) |
| | Addition of a polynomial with a scalar.
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BernsteinTriangularPoly | operator- (const BernsteinTriangularPoly &p1, const BernsteinTriangularPoly &p2) |
| | Subtraction of two polynomials.
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BernsteinTriangularPoly | operator- (double c, const BernsteinTriangularPoly &p) |
| | Subtraction of a polynomial from a scalar.
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BernsteinTriangularPoly | operator- (const BernsteinTriangularPoly &p, double c) |
| | Subtraction of a scalar from a polynomial.
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BernsteinTriangularPoly | operator/ (const BernsteinTriangularPoly &p, double c) |
| | Division of a polynomial with a scalar.
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std::istream & | operator>> (std::istream &is, Go::BernsteinTriangularPoly &p) |
| | Read BernsteinTriangularPoly from input stream.
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std::ostream & | operator<< (std::ostream &os, const Go::BernsteinTriangularPoly &p) |
| | Write BernsteinTriangularPoly to output stream.
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| void | spline_to_bernstein (const SplineCurve &seg, int dd, BernsteinPoly &bp) |
| | Takes a segment (defined as having numCoefs() == order() and an order()-regular knot vector) and returns a bernstein polynomial equal to the curve's coordinate number dd.
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void | spline_to_bernstein (const SplineSurface &pat, int dd, BernsteinMulti &bm) |
| | Converts the dd-component of a surface patch on SplineSurface form to a BernsteinMulti.
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void | spline_to_bernstein (const SplineCurve &seg, std::vector< BernsteinPoly > &seg_bp) |
| | Converts a curve segment on SplineCurve form to a vector of BernsteinPolys.
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void | spline_to_bernstein (const SplineSurface &pat, std::vector< BernsteinMulti > &pat_bm) |
| | Converts a surface patch on SplineSurface form to a vector of BernsteinMultis.
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| template<int Ndim> |
| void | splineToBernstein (const SplineCurve &segment, Array< BernsteinPoly, Ndim > &curve_bp) |
| | Converts a Bezier curve segment on SplineCurve form to an Array of Ndim BernsteinPolys.
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| template<int Ndim> |
| void | splineToBernstein (const SplineSurface &patch, Array< BernsteinMulti, Ndim > &surface_bm) |
| | Converts a Bezier surface patch on SplineSurface form to an Array of Ndim BernsteinMultis.
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| template<int Ndim> |
| void | bernsteinToSpline (const Array< BernsteinPoly, Ndim > &curve_bp, bool rational, SplineCurve &segment) |
| | Converts an Array of Ndim BernsteinPolys to a SplineCurve segment.
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| template<int Ndim> |
| void | bernsteinToSpline (const Array< BernsteinMulti, Ndim > &surface_bm, bool rational, SplineSurface &patch) |
| | Converts an Array of Ndim BernsteinMultis to a SplineSurface patch.
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void | create_bary_coord_system2D (const SplineCurve &curve, BaryCoordSystem2D &bc) |
| | Creates a barycentric coordinate system from a given spline curve.
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void | create_bary_coord_system3D (const SplineCurve &curve, BaryCoordSystem3D &bc) |
| | Creates a barycentric coordinate system from a given 3D spline curve.
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void | create_bary_coord_system3D (const SplineSurface &surface, BaryCoordSystem3D &bc) |
| | Creates a barycentric coordinate system from a given spline surface.
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void | create_bary_coord_system3D (const PointCloud3D &cloud, BaryCoordSystem3D &bc) |
| | Creates a barycentric coordinate system from a point cloud.
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void | create_bary_coord_system3D (const BoundingBox &box, BaryCoordSystem3D &bc) |
| | Creates a barycentric coordinate system from a bounding box.
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void | cart_to_bary (const SplineCurve &cv, const BaryCoordSystem2D &bc, SplineCurve &cv_bc) |
| | Creates a new curve with control points in 3 barycentric coordinates from the 2D input curve.
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void | cart_to_bary (const SplineCurve &cv, const BaryCoordSystem3D &bc, SplineCurve &cv_bc) |
| | Creates a new curve with control points in 4 barycentric coordinates from the 3D input curve.
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void | cart_to_bary (const SplineSurface &sf, const BaryCoordSystem3D &bc, SplineSurface &sf_bc) |
| | Creates a new surface with control points in 4 barycentric coordinates from the 3D input surface.
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void | cart_to_bary (const PointCloud3D &cloud, const BaryCoordSystem3D &bc, PointCloud4D &cloud_bc) |
| | Creates a new point cloud in 4 barycentric coordinates from the 3D input cloud.
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void | make_matrix (const SplineCurve &curve, int deg, std::vector< std::vector< double > > &mat) |
| | Make the matrix D.
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void | make_matrix (const SplineSurface &surf, int deg, std::vector< std::vector< double > > &mat) |
| | Make the matrix D.
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void | make_matrix (const PointCloud4D &cloud, int deg, std::vector< std::vector< double > > &mat) |
| | Make the matrix D.
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| void | make_implicit_svd (std::vector< std::vector< double > > &mat, std::vector< double > &b, double &sigma_min) |
| | Performs implicitization using SVD.
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| void | make_implicit_gauss (std::vector< std::vector< double > > &mat, std::vector< double > &b) |
| | Performs implicitization using Gaussian elimination.
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