Constrained B-spline curve and surface fitting
Computer-Aided Design
Fundamentals of computer aided geometric design
Fundamentals of computer aided geometric design
Geometric Hermite interpolation with Tschirnhausen cubics
Journal of Computational and Applied Mathematics
Global reparametrization for curve approximation
Computer Aided Geometric Design
Fast computation of generalized Voronoi diagrams using graphics hardware
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Construction and shape analysis of PH Hermite interpolants
Computer Aided Geometric Design
Approximation with Active B-Spline Curves and Surfaces
PG '02 Proceedings of the 10th Pacific Conference on Computer Graphics and Applications
A concept for parametric surface fitting which avoids the parametrization problem
Computer Aided Geometric Design
Fitting B-spline curves to point clouds by curvature-based squared distance minimization
ACM Transactions on Graphics (TOG)
Industrial geometry: recent advances and applications in CAD
Computer-Aided Design
Dual evolution of planar parametric spline curves and T-spline level sets
Computer-Aided Design
| Hi-index | 0.00 |
The problem of approximating a given set of data points by splines composed of Pythagorean Hodograph (PH) curves is addressed. In order to solve this highly non-linear problem, we formulate an evolution process within the family of PH spline curves. This process generates a one–parameter family of curves which depends on a time–like parameter t. The best approximant is shown to be a stationary point of this evolution. The evolution process – which is shown to be related to the Gauss–Newton method – is described by a differential equation, which is solved by Euler's method.