Ebook: Geometric Modelling: Dagstuhl 1996

19 papers presented by international experts give a state-of-the-art survey of the relevant problems and issues in modeling, CAD/CAM, scientific visualization, and computational geometry. The following topics are treated: • surface design and fairing • subdivision schemes • variational design • NURBS • reverse engineering • physically-based modelling • medical imaging

---

19 papers presented by international experts give a state-of-the-art survey of the relevant problems and issues in modeling, CAD/CAM, scientific visualization, and computational geometry. The following topics are treated: • surface design and fairing • subdivision schemes • variational design • NURBS • reverse engineering • physically-based modelling • medical imaging

---

19 papers presented by international experts give a state-of-the-art survey of the relevant problems and issues in modeling, CAD/CAM, scientific visualization, and computational geometry. The following topics are treated: • surface design and fairing • subdivision schemes • variational design • NURBS • reverse engineering • physically-based modelling • medical imaging
Content:
Front Matter....Pages i-vii
Applications of a Fruitful Relation between a Dupin Cyclide and a Right Circular Cone....Pages 1-15
Interrogative Visualization....Pages 17-26
Representation Conversions for Nef Polyhedra....Pages 27-38
The Shape Parametrisation of an Aircraft Engine Nacelle and Pylon....Pages 39-50
Multiresolution Analysis with Non-Nested Spaces....Pages 51-66
Optimal Degree Reduction of Free Form Curves....Pages 67-75
Intersection Methods of Convergence....Pages 77-80
Approximation of Curves by a Measure of Shape....Pages 81-99
Geometric Design of Rational B?zier Line Congruences and Ruled Surfaces Using Line Geometry....Pages 101-120
Variational Design and Parameter Optimized Surface Fitting....Pages 121-134
Shape Improvement of Surfaces....Pages 135-152
A Philosophy for Smooth Contour Reconstruction....Pages 153-163
The Design of Physically Accurate Fluid Flow....Pages 165-175
A Quadratic-Programming Method for Removing Shape-Failures from Tensor-Product B-Spline Surfaces....Pages 177-188
Fill-in Regions....Pages 189-210
Smoothing Polyhedra Using Trimmed Bicubic Patches....Pages 211-216
A G 2-Subdivision Algorithm....Pages 217-224
Octtrees Meet Splines....Pages 225-233
Degree Reduction of B-Spline Curves....Pages 235-241
Back Matter....Pages 242-244

---

19 papers presented by international experts give a state-of-the-art survey of the relevant problems and issues in modeling, CAD/CAM, scientific visualization, and computational geometry. The following topics are treated: • surface design and fairing • subdivision schemes • variational design • NURBS • reverse engineering • physically-based modelling • medical imaging
Content:
Front Matter....Pages i-vii
Applications of a Fruitful Relation between a Dupin Cyclide and a Right Circular Cone....Pages 1-15
Interrogative Visualization....Pages 17-26
Representation Conversions for Nef Polyhedra....Pages 27-38
The Shape Parametrisation of an Aircraft Engine Nacelle and Pylon....Pages 39-50
Multiresolution Analysis with Non-Nested Spaces....Pages 51-66
Optimal Degree Reduction of Free Form Curves....Pages 67-75
Intersection Methods of Convergence....Pages 77-80
Approximation of Curves by a Measure of Shape....Pages 81-99
Geometric Design of Rational B?zier Line Congruences and Ruled Surfaces Using Line Geometry....Pages 101-120
Variational Design and Parameter Optimized Surface Fitting....Pages 121-134
Shape Improvement of Surfaces....Pages 135-152
A Philosophy for Smooth Contour Reconstruction....Pages 153-163
The Design of Physically Accurate Fluid Flow....Pages 165-175
A Quadratic-Programming Method for Removing Shape-Failures from Tensor-Product B-Spline Surfaces....Pages 177-188
Fill-in Regions....Pages 189-210
Smoothing Polyhedra Using Trimmed Bicubic Patches....Pages 211-216
A G 2-Subdivision Algorithm....Pages 217-224
Octtrees Meet Splines....Pages 225-233
Degree Reduction of B-Spline Curves....Pages 235-241
Back Matter....Pages 242-244
....