Computer graphics and geometric modeling using Beta-splines
Computer graphics and geometric modeling using Beta-splines
Local generalized Hermite interpolation by quartic C2 space curves
ACM Transactions on Graphics (TOG)
ACM Transactions on Graphics (TOG)
Projectively invariant classes of geometric continuity for CAGD
Computer Aided Geometric Design
Curves and surfaces for computer aided geometric design (3rd ed.): a practical guide
Curves and surfaces for computer aided geometric design (3rd ed.): a practical guide
The NURBS book
Curve and surface construction using variable degree polynomial splines
Computer Aided Geometric Design
Local Control of Bias and Tension in Beta-splines
ACM Transactions on Graphics (TOG)
Quasi-Chebyshev splines with connection matrices: application to variable degree polynomial splines
Computer Aided Geometric Design
Quadratic trigonometric polynomial curves with a shape parameter
Computer Aided Geometric Design
Shape-preserving interpolants with high smoothness
Journal of Computational and Applied Mathematics
Geometric construction of spline curves with tension properties
Computer Aided Geometric Design
Cubic trigonometric polynomial curves with a shape parameter
Computer Aided Geometric Design
Piecewise quartic polynomial curves with a local shape parameter
Journal of Computational and Applied Mathematics - Special issue: The international symposium on computing and information (ISCI2004)
C1 and C2-continuous polynomial parametric Lp splines (p≥1)
Computer Aided Geometric Design
Journal of Computational and Applied Mathematics
Computer Aided Geometric Design
Shape preserving approximation by spatial cubic splines
Computer Aided Geometric Design
Shape-preserving, first-derivative-based parametric and nonparametric cubic L1 spline curves
Computer Aided Geometric Design
Curvature continuous curves and surfaces
Computer Aided Geometric Design
Construction and characterization of non-uniform local interpolating polynomial splines
Journal of Computational and Applied Mathematics
Curves and Surfaces Construction Based on New Basis with Exponential Functions
Acta Applicandae Mathematicae: an international survey journal on applying mathematics and mathematical applications
| Hi-index | 0.00 |
With a support on four consecutive subintervals, a class of general quartic splines are presented for a non-uniform knot vector. The splines have C^2 continuity at simple knots and include the cubic non-uniform B-spline as a special case. Based on the given splines, piecewise quartic spline curves with three local shape parameters are given. The given spline curves can be C^2@?G^3 continuous by fixing some values of the curve@?s parameters. Without solving a linear system, the spline curves can also be used to interpolate sets of points with C^2 continuity. The effects of varying the three shape parameters on the shape of the quartic spline curves are determined and illustrated.