Constrained B-spline curve and surface fitting
Computer-Aided Design
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
The NURBS book
Geometric Hermite interpolation
Computer Aided Geometric Design
Geometric Hermite interpolation with maximal order and smoothness
Computer Aided Geometric Design
Constrained interpolation with rational cubics
Computer Aided Geometric Design
An error-bounded approximate method for representing planar curves in B-splines
Computer Aided Geometric Design
Fitting B-spline curves to point clouds by curvature-based squared distance minimization
ACM Transactions on Graphics (TOG)
B-spline curve fitting based on adaptive curve refinement using dominant points
Computer-Aided Design
Evolution-based least-squares fitting using Pythagorean hodograph spline curves
Computer Aided Geometric Design
Constrained curve fitting on manifolds
Computer-Aided Design
Point-tangent/point-normal B-spline curve interpolation by geometric algorithms
Computer-Aided Design
Adaptive knot placement in B-spline curve approximation
Computer-Aided Design
Hausdorff and minimal distances between parametric freeforms in R2and R3
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
High accuracy geometric Hermite interpolation
Computer Aided Geometric Design
Certified approximation of parametric space curves with cubic B-spline curves
Computer Aided Geometric Design
Geometric point interpolation method in R3 space with tangent directional constraint
Computer-Aided Design
An improved parameterization method for B-spline curve and surface interpolation
Computer-Aided Design
Hi-index | 0.00 |
A new approach for cubic B-spline curve approximation is presented. The method produces an approximation cubic B-spline curve tangent to a given curve at a set of selected positions, called tangent points, in a piecewise manner starting from a seed segment. A heuristic method is provided to select the tangent points. The first segment of the approximation cubic B-spline curve can be obtained using an inner point interpolation method, least-squares method or geometric Hermite method as a seed segment. The approximation curve is further extended to other tangent points one by one by curve unclamping. New tangent points can also be added, if necessary, by using the concept of the minimum shape deformation angle of an inner point for better approximation. Numerical examples show that the new method is effective in approximating a given curve and is efficient in computation.