Computer graphics and geometric modeling using Beta-splines
Computer graphics and geometric modeling using Beta-splines
A rational cubic spline with tension
Computer Aided Geometric Design
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
Curves and surfaces for CAGD: a practical guide
Curves and surfaces for CAGD: a practical guide
Quadratic trigonometric polynomial curves with a shape parameter
Computer Aided Geometric Design
Computer Aided Geometric Design
Geometric construction of spline curves with tension properties
Computer Aided Geometric Design
Cubic trigonometric polynomial curves with a shape parameter
Computer Aided Geometric Design
On a class of weak Tchebycheff systems
Numerische Mathematik
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)
A general class of Bernstein-like bases
Computers & Mathematics with Applications
A novel generalization of Bézier curve and surface
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
C-curves: An extension of cubic curves
Computer Aided Geometric Design
Unifying C-curves and H-curves by extending the calculation to complex numbers
Computer Aided Geometric Design
Optimal bases for a class of mixed spaces and their associated spline spaces
Computers & Mathematics with Applications
Polynomial cubic splines with tension properties
Computer Aided Geometric Design
A class of algebraic-trigonometric blended splines
Journal of Computational and Applied Mathematics
A class of general quartic spline curves with shape parameters
Computer Aided Geometric Design
On a general new class of quasi Chebyshevian splines
Numerical Algorithms
The Computer Graphics Manual
Exponential splines and minimal-support bases for curve representation
Computer Aided Geometric Design
A shape-preserving approximation by weighted cubic splines
Journal of Computational and Applied Mathematics
Mixed hyperbolic/trigonometric spaces for design
Computers & Mathematics with Applications
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By incorporating two exponential functions into the cubic Bernstein basis functions, a new class of 驴μ-Bernstein basis functions is constructed. Based on these 驴μ-Bernstein basis functions, a kind of 驴μ-Bézier-like curve with two shape parameters, which include the cubic Bernstein-Bézier curve, is proposed. The C 1 and C 2 continuous conditions for joining two 驴μ-Bézier-like curves are given. By using tensor product method, a class of rectangular Bézier-like patches with four shape parameters is shown. The G 1 and G 2 continuous conditions for joining two rectangular Bézier-like patches are derived. By incorporating three exponential functions into the cubic Bernstein basis functions over triangular domain, a new class of 驴μ驴-Bernstein basis functions over triangular domain is also constructed. Based on the 驴μ驴-Bernstein basis functions, a kind of triangular 驴μ驴-Bézier-like patch with three shape parameters, which include the triangular Bernstein-Bézier cubic patch, is presented. The conditions for G 1 continuous smooth joining two triangular 驴μ驴-Bézier-like patches are discussed. The shape parameters serve as tension parameters and have a predictable adjusting role on the curves and patches.