Practical methods of optimization; (2nd ed.)
Practical methods of optimization; (2nd ed.)
Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Constrained B-spline curve and surface fitting
Computer-Aided Design
Parameter optimization in approximating curves and surfaces to measurement data
Computer Aided Geometric Design
Fundamentals of computer aided geometric design
Fundamentals of computer aided geometric design
International Journal of Computer Vision
Global reparametrization for curve approximation
Computer Aided Geometric Design
Three dimensional freeform sculpting via zero sets of scalar trivariate functions
Proceedings of the fifth ACM symposium on Solid modeling and applications
Fast computation of generalized Voronoi diagrams using graphics hardware
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Reconstruction and representation of 3D objects with radial basis functions
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Principles of CAD/CAM/CAE Systems
Principles of CAD/CAM/CAE Systems
Efficient topology determination of implicitly defined algebraic plane curves
Computer Aided Geometric Design
Approximation with Active B-Spline Curves and Surfaces
PG '02 Proceedings of the 10th Pacific Conference on Computer Graphics and Applications
Fast Surface Reconstruction Using the Level Set Method
VLSM '01 Proceedings of the IEEE Workshop on Variational and Level Set Methods (VLSM'01)
Constrained interpolation with rational cubics
Computer Aided Geometric Design
Multi-level partition of unity implicits
ACM SIGGRAPH 2003 Papers
ACM SIGGRAPH 2003 Papers
A concept for parametric surface fitting which avoids the parametrization problem
Computer Aided Geometric Design
SLEVEs for planar spline curves
Computer Aided Geometric Design
Web-Based Shape Modeling with Hyperfun
IEEE Computer Graphics and Applications
Level Set Evolution without Re-Initialization: A New Variational Formulation
CVPR '05 Proceedings of the 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05) - Volume 1 - Volume 01
Fitting B-spline curves to point clouds by curvature-based squared distance minimization
ACM Transactions on Graphics (TOG)
On level set regularization for highly ill-posed distributed parameter estimation problems
Journal of Computational Physics
Computing roots of polynomials by quadratic clipping
Computer Aided Geometric Design
Computing - Special issue on Geometric Modeling (Dagstuhl 2005)
Meshing Non-uniformly Sampled and Incomplete Data Based on Displaced T-spline Level Sets
SMI '07 Proceedings of the IEEE International Conference on Shape Modeling and Applications 2007
Industrial geometry: recent advances and applications in CAD
Computer-Aided Design
Efficient linear system solvers for mesh processing
IMA'05 Proceedings of the 11th IMA international conference on Mathematics of Surfaces
Least–squares approximation by pythagorean hodograph spline curves via an evolution process
GMP'06 Proceedings of the 4th international conference on Geometric Modeling and Processing
Weighted progressive iteration approximation and convergence analysis
Computer Aided Geometric Design
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By simultaneously considering evolution processes for parametric spline curves and implicitly defined curves, we formulate the framework of dual evolution. This allows us to combine the advantages of both representations. On the one hand, the implicit representation is used to guide the topology of the parametric curve and to formulate additional constraints, such as range constraints. On the other hand, the parametric representation helps to detect and to eliminate unwanted branches of the implicitly defined curves. Moreover, it is required for many applications, e.g., in Computer Aided Design.