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Reconstruction of Smooth Surface Suitable for LOD Model Construction Jaroslav Semančík KSVI MFF UK Josefův Důl, 21-22. 1. 2003 MIS 2003.

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Presentation on theme: "Reconstruction of Smooth Surface Suitable for LOD Model Construction Jaroslav Semančík KSVI MFF UK Josefův Důl, 21-22. 1. 2003 MIS 2003."— Presentation transcript:

1 Reconstruction of Smooth Surface Suitable for LOD Model Construction Jaroslav Semančík KSVI MFF UK Josefův Důl, MIS 2003

2 Jaroslav Semančík, Motivation to use smooth surface  Accuracy and efficiency  Advancements in theory of geometric modeling  Hardware acceleration  Low-level  high-level analogy with programming

3 Jaroslav Semančík, The goal  Flexible and efficient representation   Net of triangular parametric patches  Interpolation 

4 Jaroslav Semančík, Smooth surface reconstruction  Two steps 1.Construct boundary curves over the mesh edges 2.Fill the interiors by triangular patches (Coons patch)  Smoothness on patch boundaries  1.  2.

5 Jaroslav Semančík, Boundary curves construction  Cubic Hermit curves Determined by endpoints and tangent vectors  Tangent vector calculation 

6 Jaroslav Semančík, Triangular Coons patch  Interpolates arbitrary boundary curves  Construction by blending of 3 auxiliary patches 

7 Jaroslav Semančík, Triangular Coons patch – cont.  Convex combination of 3 patches each of them interpolating a pair of curves P X = u P 1 X + v P 2 X + w P 3 X P1XP1X P2XP2X P3XP3X uvw

8 Jaroslav Semančík, Smoothness on patch boundaries  The same tangent plane  G 1 -smoothness  Construct tangent plane fields along boundaries (tangent plane  normal)  Modified patch construction to respect the boundary normals 

9 Jaroslav Semančík, Conclusion and results  Smooth surface interpolating input mesh vertices  Problems  LOD model construction 

10 Jaroslav Semančík, Results


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