The approximation of non-degenerate offset surfaces
Computer Aided Geometric Design
Optimal approximate conversion of spline surfaces
Computer Aided Geometric Design
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
Parameter optimization in approximating curves and surfaces to measurement data
Computer Aided Geometric Design
Fundamentals of computer aided geometric design
Fundamentals of computer aided geometric design
Rational curves and surfaces with rational offsets
Computer Aided Geometric Design
Implicitization using moving curves and surfaces
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
The algebra and geometry of Steiner and other quadratically parametrizable surfaces
Computer Aided Geometric Design
A Laguerre geometric approach to rational offsets
Computer Aided Geometric Design
Hermite interpolation by piecewise polynomial surfaces with rational offsets
Computer Aided Geometric Design
Piecewise Quadratic Approximations on Triangles
ACM Transactions on Mathematical Software (TOMS)
Developments in bivariate spline interpolation
Journal of Computational and Applied Mathematics - Special issue on numerical analysis in the 20th century vol. 1: approximation theory
Bezier and B-Spline Techniques
Bezier and B-Spline Techniques
Comparing Offset Curve Approximation Methods
IEEE Computer Graphics and Applications
The Types of Triangular Bézier Surfaces
Proceedings of the 6th IMA Conference on the Mathematics of Surfaces
A concept for parametric surface fitting which avoids the parametrization problem
Computer Aided Geometric Design
Rational surfaces with linear normals and their convolutions with rational surfaces
Computer Aided Geometric Design
Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra, 3/e (Undergraduate Texts in Mathematics)
Error analysis of reparametrization based approaches for curve offsetting
Computer-Aided Design
Rational hypersurfaces with rational convolutions
Computer Aided Geometric Design
Exact and efficient construction of Minkowski sums of convex polyhedra with applications
Computer-Aided Design
Convolution surfaces of quadratic triangular Bézier surfaces
Computer Aided Geometric Design
Topological criterion for selection of quintic Pythagorean-hodograph Hermite interpolants
Computer Aided Geometric Design
Approximating curves and their offsets using biarcs and Pythagorean hodograph quintics
Computer-Aided Design
PN surfaces and their convolutions with rational surfaces
Computer Aided Geometric Design
Computing Isophotes on Free-Form Surfaces Based on Support Function Approximation
Proceedings of the 13th IMA International Conference on Mathematics of Surfaces XIII
A symbolic-numerical envelope algorithm using quadratic MOS patches
2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling
Critical point analysis using domain lifting for fast geometry queries
Computer-Aided Design
On a special class of polynomial surfaces with pythagorean normal vector fields
Proceedings of the 7th international conference on Curves and Surfaces
Approximate convolution with pairs of cubic Bézier LN curves
Computer Aided Geometric Design
Exploring hypersurfaces with offset-like convolutions
Computer Aided Geometric Design
Reducibility of offsets to algebraic curves
Computer Aided Geometric Design
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The offset surfaces to non-developable quadratic triangular Bezier patches are rational surfaces. In this paper we give a direct proof of this result and formulate an algorithm for computing the parameterization of the offsets. Based on the observation that quadratic triangular patches are capable of producing C^1 smooth surfaces, we use this algorithm to generate rational approximations to offset surfaces of general free-form surfaces.