Shape preserving representations
Mathematical methods in 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
Fundamentals of computer aided geometric design
Fundamentals of computer aided geometric design
Totally positive bases for shape preserving curve design and optimality of B-splines
Computer Aided Geometric Design
Circle and sphere as rational splines
Neural, Parallel & Scientific Computations - computer aided geometric design
Shape preserving representations for trigonometric polynomial curves
Computer Aided Geometric Design
Corner cutting curves and a new characterization of Be´zier and B-spline curves
Computer Aided Geometric Design
Harmonic rational Bézier curves, p-Be´zier curves and trigonometric polynomials
Computer Aided Geometric Design
Shape preserving alternatives to the rational Bézier model
Computer Aided Geometric Design
A Menagerie of Rational B-Spline Circles
IEEE Computer Graphics and Applications
Quadratic trigonometric polynomial curves with a shape parameter
Computer Aided Geometric Design
Computer Aided Geometric Design
Monotonicity preserving representations of non-polynomial surfaces
Journal of Computational and Applied Mathematics
Mixed hyperbolic/trigonometric spaces for design
Computers & Mathematics with Applications
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We show that five is the minimal dimension of a space required to draw a complete circle with a unique control polygon. We identify all five-dimensional spaces invariant under translations and reflections where we can find shape preserving representations of a circle parameterized by its arc length.