Computer Aided Geometric Design
IEEE Transactions on Pattern Analysis and Machine Intelligence
Fundamentals of computer aided geometric design
Fundamentals of computer aided geometric design
Computer Aided Geometric Design - Special issue dedicated to Paul de Faget de Casteljau
Meshless Parameterization and B-Spline Surface Approximation
Proceedings of the 9th IMA Conference on the Mathematics of Surfaces
Least-Squares Fitting of Algebraic Spline Curves via Normal Vector Estimation
Proceedings of the 9th IMA Conference on the Mathematics of Surfaces
Fitting B-spline curves to point clouds by curvature-based squared distance minimization
ACM Transactions on Graphics (TOG)
Volumetric parameterization and trivariate B-spline fitting using harmonic functions
Computer Aided Geometric Design
Circular spline fitting using an evolution process
Journal of Computational and Applied Mathematics
Swept Volume Parameterization for Isogeometric Analysis
Proceedings of the 13th IMA International Conference on Mathematics of Surfaces XIII
Curvature formulas for implicit curves and surfaces
Computer Aided Geometric Design - Special issue: Geometric modelling and differential geometry
A revisit to least squares orthogonal distance fitting of parametric curves and surfaces
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
Regularization of B-spline objects
Computer Aided Geometric Design
Isogeometric simulation of turbine blades for aircraft engines
Computer Aided Geometric Design
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We present a framework for generating a trivariate B-spline parametrization of turbine blades from measurement data generated by optical scanners. This new representation replaces the standard patch-based representation of industrial blade designs. In a first step, the blade surface is represented by a smoothly varying family of B-spline curves. In a second step, the blade is parametrized by a trivariate B-spline volume. The resulting model is suitable for numerical simulation via isogeometric analysis, as well as for a fully automatic structured mesh generation with standard finite elements. We focus on the industrial applicability of the framework, by using standard turbine blade features throughout the process.