List of Figures

• 2.1. Graphical User Interface when started
• 2.2. File Selector Box
• 2.3. GUI after loading a file
• 2.4. Bilinear Surface, shown in two windows
• 2.5. Finding errors with the Log-Window
• 2.6. The Graph-Editor-Window
• 3.1. Simple DAG
• 3.2. Simple Scene Graph
• 5.1. Cubic Nurbs Curve with clamped knot vector
• 5.2. Cubic Nurbs Curve with open knot vector
• 5.3. Quadratic Nurbs Curve
• 5.4. Bilinear Nurbs Surface, control points not coplanar
• 5.5. A Cylinder Half
• 5.6. Tesselating with the same relative fineness
• 5.7. Tesselating with a tolerance relative to a fixed box
• 5.8. Cylinder Half with 3 trim contours
• 5.9. a screw
• 5.10. a faceplate
• 5.11. a slide guide
• 5.12. Surface Of Revolution
• 5.13. Testcase for Curve Interpolation/Approximation
• 5.14. Global Interpolation Curve
• 5.15. Local Cubic Interpolation Curve
• 5.16. Global Approximation Curve, using degree 3 and 4 control points
• 5.17. Global Approximation Curve, using degree 3 and 8 control points
• 5.18. Global Approximation Curve, using degree 3 and 11 control points
• 5.19. Testcase for Interpolation and Approximation Algorithms
• 5.20. Global Surface Interpolation, using degree 3*3
• 5.21. Local Bicubic Surface Interpolation
• 5.22. Global Surface Approximation, using degree 3*3 and 10*10 control points
• 5.23. Multi Level B-Spline Surface Approximation, using 4 iterations
• 5.24. Multi Level B-Spline Approximation, using 5 iterations
• 5.25. MBA of 11335 data points with 5 iterations
• 5.26. MBA of 11335 data points with 4 iterations
• 5.27. MBA of 11335 data points with 6 iterations
• 5.28. MBA of 11335 data points with 7 iterations
• 5.29. Areas of a 3D grid where a sign change occurs
• 5.30. Sphere as a Iso Surface
• 5.31. Iso Surface $sin(x) = 0$
• 5.32. Quadratic Polynom approximating a set of data points
• 5.33. A Nice Implicitly Defined Surface
• 5.34. Polygon with two intersecting contours
• 5.35. Polygons with texture coordinate system transformations
• 5.36. Polygons with 3D texture
• 5.37. Smooth transition between Polygons
• 5.38. Smooth transition between textured Polygons
• 5.39. The well known Galleon model from SGI
• 5.40. Loading a Trimmed Freeform Surface from an OBJ file
• 5.41. Writing a Nurbs Surface into a OBJ file