1. USING GEOMETRIC MODELING FOR FEATURE RECOGNITION IN ARCHAEOLOGICAL VESSELS DEZHI LIU FEATURE GROUP PRISM/ASU 3DK – 3DK – September 15, 2000

2. USING GEOMETRIC MODELING FOR FEATURE RECOGNITION IN ARCHAEOLOGICAL VESSELS 1. Geometric Modeling for Archaeological Vessels 2. Features of Archaeological Vessels 3. Feature Recognition 4. Output Analysis Result as XML Files 5. Some Results and Further Work

3. 3DK – 3DK – September 15, 2000 1. Geometric Models for Archaeological Vessels 1.1 3D Geometric Models for Archaeological Vessels 1.2 2D Geometric Models for Archaeological Vessels

4. 3DK – 3DK – September 15, 2000 1.1 3D Geometric Models  Polygon Meshes M = (V, E, F) Where V: Vertex Set, E: Edge Set, F: Face Set

5. 3DK – 3DK – September 15, 2000 1.1 3D Geometric Models (Continue)  NURB Surfaces

6. 3DK – 3DK – September 15, 2000 1.2 2D Geometric Models  Chain Codes  NURB Curves

7. 3DK – 3DK – September 15, 2000 2 Features of Archaeological Vessels 2.1 Feature Points 2.2 Contour Types 2.3 Features in Common for Vessels 2.4 Classification of Base

8. 3DK – 3DK – September 15, 2000 2.1 Feature Points

9. 3DK – 3DK – September 15, 2000 2.1 Feature Points (continue)

10. 3DK – 3DK – September 15, 2000 2.2 Contour Types Simple

11. 3DK – 3DK – September 15, 2000 2.2 Contour Types (continue) Composite

12. 3DK – 3DK – September 15, 2000 2.2 Contour Types (continue) Inflected

13. 3DK – 3DK – September 15, 2000 2.2 Contour Types (continue) Complex

14. 3DK – 3DK – September 15, 2000 2.3 Features in Common for Vessels

15. 3DK – 3DK – September 15, 2000 2.4 Classification of Base Base Point b. Flat base with zero curvature c. Concave base Base curve (Line Segment) Base curve a. Convex base

16. 3DK – 3DK – September 15, 2000 3 Feature Recognition 3.1 Based on Curvature Analysis 3.2 Based on Angle Change 3.2 Based on Wavelet

17. 3DK – 3DK – September 15, 2000 3.1 Curvature Analysis  Inflection Points (IPs) A point P will be a IP, if P satisfies К(t) = 0

18. 3DK – 3DK – September 15, 2000 3.2 Angle Change  Corner Points (CPs) A point P will be a CP, if the angle changes sharply at P  End Points (EPs)

19. 3DK – 3DK – September 15, 2000 3.3 Wavelet Please refer to Dasu’s presentation

20. 3DK – 3DK – September 15, 2000 4 Output Analysis Result as XML Files  XML Schema  Binary Data Embedding

21. 3DK – 3DK – September 15, 2000 5 Some Result and Further Work

22. 3DK – 3DK – September 15, 2000 5 Some Result and Further Work (continue)

23. 3DK – 3DK – September 15, 2000 5 Some Result and Further Work (continue)

24. 3DK – 3DK – September 15, 2000 5 Some Result and Further Work (continue)

25. 3DK – 3DK – September 15, 2000 5 Some Result and Further Work (continue)

26. 3DK – 3DK – September 15, 2000 5 Some Result and Further Work (continue)