Automatic smoothing with geometric surface patches
Computer Aided Geometric Design
Intrinsic parametrization for approximation
Computer Aided Geometric Design
Surface shape control using constrained optimization on the B-spline representation
Computer Aided Geometric Design
Method for fairing B-spline surfaces
Computer-Aided Design
Modifying the shape of rational B-splines. part2: surfaces
Computer-Aided Design
Automatic fairing algorithm for B-spline curves
Computer-Aided Design
On Three-Dimensional Surface Reconstruction Methods
IEEE Transactions on Pattern Analysis and Machine Intelligence
Surface reconstruction from unorganized points
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Functional optimization for fair surface design
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Curves and surfaces for computer aided geometric design (3rd ed.): a practical guide
Curves and surfaces for computer aided geometric design (3rd ed.): a practical guide
Fundamentals of computer aided geometric design
Fundamentals of computer aided geometric design
The NURBS book
Advanced surface fitting techniques
Computer Aided Geometric Design
Curvature and the Fairness of Curves and Surfaces
IEEE Computer Graphics and Applications
A Simple Technique for NURBS Shape Modification
IEEE Computer Graphics and Applications
Construction of curves and surfaces using numerical optimization techniques
Computer-Aided Design
Computer Aided Geometric Design
Constructing smooth branching surfaces from cross sections
Proceedings of the 2006 ACM symposium on Solid and physical modeling
G1-smooth branching surface construction from cross sections
Computer-Aided Design
SMI 2012: Full Interpolating an arbitrary number of joint B-spline curves by Loop surfaces
Computers and Graphics
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A practical example of B-spline curve control points manipulation for the geometric construction of a free form shape is presented. Elements of a cross-sectional design methodology are used in conjunction with a skinning type operator for the definition of a B-spline surface. Skinning process is well established in the CAD community, but further difficulties arise in producing smooth surfaces under constraints. This paper attempts to overcome the fairness problem by choosing an appropriate solution where the execution time has to be reasonably short. Main results include an industrial application in a preliminary aerodynamic design cycle where manufacturing tolerances defined by smoothness criteria are maintained.