Computational geometry: curve and surface modeling
Computational geometry: curve and surface modeling
Interpolation with piecewise quadratic visually C2 Be´zier polynomials
Computer Aided Geometric Design
Computer Aided Geometric Design
Rational curves and surfaces with rational offsets
Computer Aided Geometric Design
Planar spirals that match G2 Hermite data
Computer Aided Geometric Design
Numerical Recipes in C++: the art of scientific computing
Numerical Recipes in C++: the art of scientific computing
Euler Spiral for Shape Completion
International Journal of Computer Vision - Special Issue on Computational Vision at Brown University
Journal of Computational and Applied Mathematics
The family of biarcs that matches planar, two-point G1 Hermite data
Journal of Computational and Applied Mathematics
An involute spiral that matches G2 Hermite data in the plane
Computer Aided Geometric Design
High accuracy geometric Hermite interpolation
Computer Aided Geometric Design
Cubic Bézier spiral segments for planar G2 curve design
Proceedings of the 7th International Conference on Computer Graphics, Virtual Reality, Visualisation and Interaction in Africa
Error inequalities for quintic and biquintic discrete Hermite interpolation
Journal of Computational and Applied Mathematics
Planar two-point G1 Hermite interpolating log-aesthetic spirals
Journal of Computational and Applied Mathematics
| Hi-index | 7.29 |
A one-parameter family of spirals that can match planar, two-point G^1 Hermite data is presented. These spirals can be used as an alternative to the biarc, which is also a one-parameter family of curves that can match two-point G^1 Hermite data. Some suggestions on choosing the free parameter of the family of spirals is given. It is shown that there is a unique G^1 Hermite interpolating spiral that passes through a given point in an allowable region. Three examples of the use of these spirals are given: curve completion with spirals, design with spirals, and approximation of the clothoid by spirals.