Curvature continuous curves and surfaces
Computer Aided Geometric Design
An intuitive approach to geometric continuity for parametric curves and surfaces
Proceedings of Graphics Interface '85 on Computer-generated images: the state of the art
An introduction to splines for use in computer graphics & geometric modeling
An introduction to splines for use in computer graphics & geometric modeling
Computer Aided Geometric Design - Special issue: Topics in CAGD
Curve and surface constructions using rational B-splines
Computer-Aided Design
Computer graphics and geometric modeling using Beta-splines
Computer graphics and geometric modeling using Beta-splines
Rational continuity: parametric, geometric, and Frenet frame continuity of rational curves
ACM Transactions on Graphics (TOG) - Special issue on computer-aided design
Mathematical methods in computer aided geometric design
Algebraic aspects of geometric continuity
Mathematical methods in computer aided geometric design
Computational Geometry for Design and Manufacture
Computational Geometry for Design and Manufacture
IEEE Computer Graphics and Applications
Geometric Continuity: A Parameterization Independent Measure of
Geometric Continuity: A Parameterization Independent Measure of
Geometric Continuity of Parametric Curves
Geometric Continuity of Parametric Curves
Beta Continuity and Its Application to Rational Beta-splines
Beta Continuity and Its Application to Rational Beta-splines
Applications of b-spline approximation to geometric problems of computer-aided design.
Applications of b-spline approximation to geometric problems of computer-aided design.
The beta-spline: a local representation based on shape parameters and fundamental geometric measures
The beta-spline: a local representation based on shape parameters and fundamental geometric measures
Rational continuity: parametric, geometric, and Frenet frame continuity of rational curves
ACM Transactions on Graphics (TOG) - Special issue on computer-aided design
An intelligent approach to discrete sampling of parametric curves
SAC '93 Proceedings of the 1993 ACM/SIGAPP symposium on Applied computing: states of the art and practice
Polar forms for geometrically continuous spline curves of arbitrary degree
ACM Transactions on Graphics (TOG)
Mathematical Methods for Curves and Surfaces
IEEE Computer Graphics and Applications
Rational Beta-Splines for Representing Curves and Surfaces
IEEE Computer Graphics and Applications
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part II
Length Estimation for Curves with Different Samplings
Digital and Image Geometry, Advanced Lectures [based on a winter school held at Dagstuhl Castle, Germany in December 2000]
Length Estimation for Curves with epsilon-Uniform Sampling
CAIP '01 Proceedings of the 9th International Conference on Computer Analysis of Images and Patterns
Length estimation for curves with different samplings
Digital and image geometry
Asymptotics for length and trajectory from cumulative chord piecewise-quartics
Fundamenta Informaticae
Functional splines with different degrees of smoothness and their applications
Computer-Aided Design
External versus internal parameterizations for lengths of curves with nonuniform samplings
Proceedings of the 11th international conference on Theoretical foundations of computer vision
G3 quintic polynomial approximation for Generalised Cornu Spiral segments
Journal of Computational and Applied Mathematics
Collision-free and smooth trajectory computation in cluttered environments
International Journal of Robotics Research
Asymptotics for Length and Trajectory from Cumulative Chord Piecewise-Quartics
Fundamenta Informaticae
Geometric continuity C1G2 of blending surfaces
Computer-Aided Design
Hi-index | 0.00 |
Some of the important basic results on geometric continuity of curves are presented in a self-contained manner. The paper covers parametric representation and smoothness, parametric continuity, reparameterization and equivalent parameterization, beta-constraints, and arc-length parameterization.