1. Graphics Graphics Lab @ Korea University cgvr.korea.ac.kr Model Construction 고려대학교 컴퓨터 그래픽스 연구실

2. CGVR Graphics Lab @ Korea University cgvr.korea.ac.kr Model Construction Interactive Modeling Tools CAD programs Subdivision surface editors Scanning Tools CAT, MRI, laser, magnetic, robotic arm, etc. Computer Vision Stereo, motion, etc. Procedural Generation Sweeps, fractals, grammars

3. CGVR Graphics Lab @ Korea University cgvr.korea.ac.kr Interactive Modeling Tools User Constructs Objects with Drawing Program Menu commands, direct manipulation, etc. CSG, parametric surfaces, quadrics, etc.

4. CGVR Graphics Lab @ Korea University cgvr.korea.ac.kr Interactive Modeling Tools Example: Mechanical CAD

5. CGVR Graphics Lab @ Korea University cgvr.korea.ac.kr Model Construction Interactive Modeling Tools CAD programs, subdivision surface editors Scanning Tools CAT, MRI Laser Range Scanning Magnetic, robotic arm Computer Vision Stereo, motion, etc. Procedural Generation Sweeps, fractals, grammars

6. CGVR Graphics Lab @ Korea University cgvr.korea.ac.kr Scanning Tools Acquire Geometry of Objects with Active Sensors CAT/MRI Laser range scanner Magnetic sensor Robotic arm Etc.

7. CGVR Graphics Lab @ Korea University cgvr.korea.ac.kr Scanning Tools Acquire Geometry of Objects with Active Sensors CAT/MRI Laser range scanner Magnetic sensor Robotic arm Etc. Color Depth

8. CGVR Graphics Lab @ Korea University cgvr.korea.ac.kr Scanning Tools Acquire Geometry of Objects with Active Sensors CAT/MRI Laser range scanner Magnetic sensor Robotic arm Etc.

9. CGVR Graphics Lab @ Korea University cgvr.korea.ac.kr Scanning Tools Acquire Geometry of Objects with Active Sensors CAT/MRI Laser range scanner Magnetic sensor Robotic arm Etc.

10. CGVR Graphics Lab @ Korea University cgvr.korea.ac.kr Model Construction Interactive Modeling Tools CAD programs Subdivision surface editors Scanning Tools CAT, MRI, laser, magnetic, robotic arm, etc. Computer Vision Stereo Motion Procedural Generation Sweeps, fractals, grammars

11. CGVR Graphics Lab @ Korea University cgvr.korea.ac.kr Computer Vision Infer 3D Geometry from Images Stereo Motion Constraints Etc.

12. CGVR Graphics Lab @ Korea University cgvr.korea.ac.kr Computer Vision Infer 3D Geometry from Images Stereo Motion Constraints Etc.

13. CGVR Graphics Lab @ Korea University cgvr.korea.ac.kr Computer Vision Infer 3D Geometry from Images Stereo Motion Constraints Etc.

14. CGVR Graphics Lab @ Korea University cgvr.korea.ac.kr Model Construction Interactive Modeling Tools CAD programs, subdivision surface editors Scanning Tools CAT, MRI, laser, magnetic, robotic arm, etc. Computer Vision Stereo, motion, etc. Procedural Generation Sweeps Fractals Grammars

15. CGVR Graphics Lab @ Korea University cgvr.korea.ac.kr Model Construction Goal: Describe 3D models algorithmically Best for Models Resulting from... Repeating processes Self-similar processes Random processes Advantages: Automatic generation Concise representation Parameterized classes of models

16. CGVR Graphics Lab @ Korea University cgvr.korea.ac.kr Sweep Example: Seashells Create 3D polygonal surface models of seashells Sweep generating curve around helico-spiral axis  Helico-spiral definition:  i+1  i  r i+1  r i r z i+1  z i z

17. CGVR Graphics Lab @ Korea University cgvr.korea.ac.kr Sweep Generate Different Shells by Varying Parameters Different helico-spiralsDifferent generating curves

18. CGVR Graphics Lab @ Korea University cgvr.korea.ac.kr Fractal Defining Property: Self-similar with infinite resolution Mandelbrot Set

19. CGVR Graphics Lab @ Korea University cgvr.korea.ac.kr Fractal Useful for Describing Natural 3D Phenomenon Terrain Plants Clouds Water Feathers Fur Etc.

20. CGVR Graphics Lab @ Korea University cgvr.korea.ac.kr Fractal Generation Deterministically Self-Similar Fractals Parts are scaled copies of original  Initiator: start with a shape  Generator: replace subparts with scaled copy of original Statistically Self-Similar Fractals Parts have same statistical properties as original  Initiator: start with a shape  Generator: replace subparts with a self-similar random pattern

21. CGVR Graphics Lab @ Korea University cgvr.korea.ac.kr Deterministically Self-Similar Fractal Useful for Creating Interesting Shapes

22. CGVR Graphics Lab @ Korea University cgvr.korea.ac.kr Deterministically Self-Similar Fractal Useful for Creating Interesting Shapes

23. CGVR Graphics Lab @ Korea University cgvr.korea.ac.kr Statistically Self-Similar Fractal Useful for Creating Mountains

24. CGVR Graphics Lab @ Korea University cgvr.korea.ac.kr Statistically Self-Similar Fractal Useful for Creating 3D Plants

25. CGVR Graphics Lab @ Korea University cgvr.korea.ac.kr Grammar Generate Description of Geometric Model by Applying Production Rules Useful for creating plants  Example: Tree  Branch Tree | Leaf Branch  Cylinder | [ Tree ] C[CL]C[C[CL][CL]]C[[CL][CL]]C[*]C[*][*]

26. CGVR Graphics Lab @ Korea University cgvr.korea.ac.kr Grammar Useful for Creating Plants