Loop detection in surface patch intersections
Computer Aided Geometric Design
Derivatives of rational Be´zier curves
Computer Aided Geometric Design
NURB curves and surfaces: from projective geometry to practical use
NURB curves and surfaces: from projective geometry to practical use
Higher order derivatives of a rational Be´zier curve
Graphical Models and Image Processing
Hodographs and normals of rational curves and surfaces
Computer Aided Geometric Design
The NURBS book
Partial derivatives of rational Be´zier surfaces
Computer Aided Geometric Design
On the derivatives of second and third degree rational Bézier curves
Computer Aided Geometric Design
Curves and surfaces for CAGD: a practical guide
Curves and surfaces for CAGD: a practical guide
NURBS for Curve and Surface Design
NURBS for Curve and Surface Design
Bezier and B-Spline Techniques
Bezier and B-Spline Techniques
New bounds on the magnitude of the derivative of rational Bézier curves and surfaces
Computer Aided Geometric Design
Some improvements on the derivative bounds of rational Bézier curves and surfaces
Computer Aided Geometric Design
The bound on derivatives of rational Bézier curves
Computer Aided Geometric Design
Short communication: Rational hodographs
Computer Aided Geometric Design
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This paper applies inequality skill, degree elevation of triangular Bezier surfaces and difference operators to deduce the bounds on first and second partial derivatives of rational triangular Bezier surfaces. Further more, we prove that the new bounds are tighter and more effective than the known ones. All the results are obviously helpful for further optimization of geometric design systems.