Computer Aided Geometric Design - Special issue: Topics in CAGD
Computational geometry: curve and surface modeling
Computational geometry: curve and surface modeling
A geometric characterization of parametric cubic curves
ACM Transactions on Graphics (TOG)
Automatic fairing algorithm for B-spline curves
Computer-Aided Design
Ray tracing trimmed rational surface patches
SIGGRAPH '90 Proceedings of the 17th annual conference on Computer graphics and interactive techniques
Curve intersection using Be´zier clipping
Computer-Aided Design - Special Issue: Be´zier Techniques
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Fundamentals of computer aided geometric design
Fundamentals of computer aided geometric design
An automated curve fairing algorithm for cubic B-spline curves
Journal of Computational and Applied Mathematics - Special issue on computational methods in computer graphics
Designing Bézier conic segments with monotone curvature
Computer Aided Geometric Design
Curves and surfaces for CAGD: a practical guide
Curves and surfaces for CAGD: a practical guide
Curvature and the Fairness of Curves and Surfaces
IEEE Computer Graphics and Applications
Local Energy Fairing of B-spline Curves
Geometric Modelling, Dagstuhl, Germany, 1993
Fairing point sets using curvature
Computer-Aided Design
Fair NURBS curve generation using a hand-drawn sketch for computer aided aesthetic design
ISCGAV'07 Proceedings of the 7th WSEAS International Conference on Signal Processing, Computational Geometry & Artificial Vision
NURBS curve shape modification and fairness evaluation for computer aided aesthetic design
ISCGAV'07 Proceedings of the 7th WSEAS International Conference on Signal Processing, Computational Geometry & Artificial Vision
A fair curve generation algorithm based on a hand-drawn sketch
ISCGAV'06 Proceedings of the 6th WSEAS International Conference on Signal Processing, Computational Geometry & Artificial Vision
A local fitting algorithm for converting planar curves to B-splines
Computer Aided Geometric Design
NURBS curve shape modification and fairness evaluation
WSEAS Transactions on Computers
Curve generation and modification based on radius of curvature smoothing
MACMESE'08 Proceedings of the 10th WSEAS international conference on Mathematical and computational methods in science and engineering
Quintic B-spline curve generation and modification based on specified radius of curvature
MATH'09 Proceedings of the 14th WSEAS International Conference on Applied mathematics
WSEAS Transactions on Mathematics
Recursive method of smoothing curvature of path in path planning problems for wheeled robots
Automation and Remote Control
Constructing 3D motions from curvature and torsion profiles
Computer-Aided Design
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This paper presents a new algorithm for fairing planar cubic B-spline curves. Target curvature plots prescribed by designers according to design intent are used to identify bad points and bad curve segments. The corresponding control points are then modified using local constrained optimization. The objective function is a weighed combination of two components, which are associated with the fairness in the sense of energy minimization and the coherence to the original design, respectively. Hence, designers have more control over the fairing process by using appropriate weights for the two components. Several numerical examples are provided to demonstrate the effectiveness of the algorithm.