Recent methods for surface shape optimization
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Publication:1605720
DOI10.1016/S0167-8396(97)00030-7zbMath0998.65027MaRDI QIDQ1605720
Publication date: 23 July 2002
Published in: Computer Aided Geometric Design (Search for Journal in Brave)
Laplace-Beltrami operatorsurface shape optimizationcurvature minimizationBézier triangular patchesfairness functionalblending-surface functionalGaussian functionals
Numerical optimization and variational techniques (65K10) Optimization of shapes other than minimal surfaces (49Q10) Computer-aided design (modeling of curves and surfaces) (65D17)
Related Items (4)
A research note on design of fair surfaces over irregular domains using data-dependent triangulation ⋮ Unstructured triangular surface grid generation and intrinsic grid analysis using rational triangular patches ⋮ Classification of Lagrangians for surface design ⋮ A discussion on relationships between minimal energy and curve shapes
Cites Work
- Minimal energy surfaces using parametric splines
- The smoothing properties of variational schemes for surface design
- Smooth interpolation of a mesh of curves
- Representing PDE surfaces in terms of B-splines
- A survey of curve and surface methods in CAGD
- Using partial differential equations to generate free-form surfaces
- Interpolating scattered data with \(C^ 2\) surfaces
- Scattered data interpolation based upon generalized minimum norm networks
- Variational design of curves and surfaces
- A Method for Interpolating Scattered Data Based Upon a Minimum Norm Network
- Curve mesh fairing and $GC^2$ surface interpolation
- Dynamic NURBS with geometric constraints for interactive sculpting
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