Algebraic properties of plane offset curves
Computer Aided Geometric Design
Rational curves and surfaces with rational offsets
Computer Aided Geometric Design
Hermite interpolation by Pythagorean hodograph quintics
Mathematics of Computation
Offset-rational parametric plane curves
Computer Aided Geometric Design
Pipe surfaces with rational spine curve are rational
Computer Aided Geometric Design
The elastic bending energy of Pythagorean-hodograph curves
Computer Aided Geometric Design
The algebra and geometry of Steiner and other quadratically parametrizable surfaces
Computer Aided Geometric Design
Rational ruled surfaces and their offsets
Graphical Models and Image Processing
Applications of Laguerre geometry in CAGD
Computer Aided Geometric Design
A Laguerre geometric approach to rational offsets
Computer Aided Geometric Design
Studying cyclides with Laguerre geometry
Computer Aided Geometric Design
Hermite interpolation by piecewise polynomial surfaces with rational offsets
Computer Aided Geometric Design
Performance analysis of CNC interpolators for time-dependent feedrates along PH curves
Computer Aided Geometric Design
Hermite interpolation by pythagorean hodograph curves of degree seven
Mathematics of Computation
The Types of Triangular Bézier Surfaces
Proceedings of the 6th IMA Conference on the Mathematics of Surfaces
Rational surfaces with linear normals and their convolutions with rational surfaces
Computer Aided Geometric Design
G1 Hermite interpolation by Minkowski Pythagorean hodograph cubics
Computer Aided Geometric Design
A control polygon scheme for design of planar C2 PH quintic spline curves
Computer Aided Geometric Design
Minimal rational parametrizations of canal surfaces
Computing - Special issue on Geometric Modeling (Dagstuhl 2005)
Rational space curves are not “unit speed”
Computer Aided Geometric Design
IEEE Computer Graphics and Applications
Convolution surfaces of quadratic triangular Bézier surfaces
Computer Aided Geometric Design
Approximating curves and their offsets using biarcs and Pythagorean hodograph quintics
Computer-Aided Design
MOS surfaces: medial surface transforms with rational domain boundaries
Proceedings of the 12th IMA international conference on Mathematics of surfaces XII
On generalized ln-surfaces in 4-space
Proceedings of the twenty-first international symposium on Symbolic and algebraic computation
Rational two-parameter families of spheres and rational offset surfaces
Journal of Symbolic Computation
A symbolic-numerical envelope algorithm using quadratic MOS patches
2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling
Skinning of circles and spheres
Computer Aided Geometric Design
Blends of canal surfaces from polyhedral medial transform representations
Computer-Aided Design
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In the present paper we investigate rational two-parameter families of spheres and their envelope surfaces in Euclidean R^3. The four dimensional cyclographic model of the set of spheres in R^3 is an appropriate framework to show that a quadratic triangular Bezier patch in R^4 corresponds to a two-parameter family of spheres with rational envelope surface. The construction shows also that the envelope has rational offsets. Further we outline how to generalize the construction to obtain a much larger class of surfaces with similar properties.