Numerical analysis: 4th ed
Curves and surfaces for computer aided geometric design
Curves and surfaces for computer aided geometric design
Automatic fairing algorithm for B-spline curves
Computer-Aided Design
Fairing composite polynomial curves with constraints
Computer Aided Geometric Design
Shape preserving interpolation by space curves
Computer Aided Geometric Design
The crust and the &Bgr;-Skeleton: combinatorial curve reconstruction
Graphical Models and Image Processing
The generalised Cornu spiral and its application to span generation
Journal of Computational and Applied Mathematics - Special issue on computational methods in computer graphics
An automated curve fairing algorithm for cubic B-spline curves
Journal of Computational and Applied Mathematics - Special issue on computational methods in computer graphics
Reconstruction of surfaces of revolution from measured points
Computers in Industry
Curve reconstruction: connecting dots with good reason
Computational Geometry: Theory and Applications
Computational Geometry for Design and Manufacture
Computational Geometry for Design and Manufacture
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
CA '96 Proceedings of the Computer Animation
Target curvature driven fairing algorithm for planar cubic B-spline curves
Computer Aided Geometric Design
Designing fair curves using monotone curvature pieces
Computer Aided Geometric Design
Free-form surface construction in a commercial CAD/CAM system
IMA'05 Proceedings of the 11th IMA international conference on Mathematics of Surfaces
Proceedings of Graphics Interface 2009
Sketch-Based Interfaces and Modeling (SBIM): Sketching piecewise clothoid curves
Computers and Graphics
Interactive natural image segmentation via spline regression
IEEE Transactions on Image Processing
Curvature-based surface regeneration
Proceedings of the 12th IMA international conference on Mathematics of surfaces XII
Merging and smoothing machining boundaries on cutter location surfaces
Proceedings of the 14th ACM Symposium on Solid and Physical Modeling
Contour curve reconstruction from cloud data for rapid prototyping
Robotics and Computer-Integrated Manufacturing
Constructing 3D motions from curvature and torsion profiles
Computer-Aided Design
On generating realistic avatars: dress in your own style
Multimedia Tools and Applications
Sketching piecewise clothoid curves
SBM'08 Proceedings of the Fifth Eurographics conference on Sketch-Based Interfaces and Modeling
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Planar curves ''suggested'' by sequences of points are considered. A method is discussed for refining the sequence iteratively so that the fairness of the curve is improved while maintaining the basic form and features. This involves the use of intrinsic coordinates and works by smoothing the curvature plot and then integrating twice to recover the curve. Modifications are made during this process to ensure that individual subsegments run correctly between their end points and join smoothly.