1. Special Models for Animation
Drawbacks to Triangle Meshes
Fine tessellation is required to overcome piecewise linear approximation
Only C0-continuous, so normals and curvature are usually interpolated between values estimated at vertices
Lend themselves to self-intersections and holes not found in real-world surfaces
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Special Models for Animation
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2. Special Models for Animation
Octrees
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Special Models for Animation
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3. Special Models for Animation
Marching Cubes
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Special Models for Animation
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4. Special Models for Animation
Antialiasing
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Special Models for Animation
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5. Special Models for Animation
kD-Tree
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Special Models for Animation
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6. Special Models for Animation
Binary Space Partitioning Tree
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Special Models for Animation
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7. Special Models for Animation
Convolutions
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Special Models for Animation
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8. Special Models for Animation
Algebraic Surfaces
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Special Models for Animation
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9. Special Models for Animation
Procedural Surfaces
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Special Models for Animation
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10. Special Models for Animation
Manifolds
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Special Models for Animation
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11. Special Models for Animation
Level Sets
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Special Models for Animation
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12. Grammar-based geometric modeling system Special Models for Animation
Lindenmayer Systems
Grammar-based geometric modeling system
Dragon Curve
Variables: X, Y
Constants: F (Draw Forward),
+ (Turn left 90 degrees),
- (Turn right 90 degrees)
Start: FX
Rules: (X->X+YF),
(Y->FX-Y)
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Special Models for Animation
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13. Special Models for Animation
Subdivision Surfaces
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Special Models for Animation
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14. Special Models for Animation
Level of Detail
5500 Vertices
2880 Vertices
1580 Vertices
670 Vertices
140 Vertices
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