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## PowerPoint Slideshow about ' Out-of-plane Rotations' - tangia

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Out-of-plane Rotations- Environment constraints
- Surveillance systems
- Car driver images

- ASM:
- Similarity does not remove 3D pose
- Multiple-view database

- Other approaches
- Non-linear models
- 3D models: multiple views

[email protected] Database

Geometric operations by means of linear algebra

2D points are 3-component vectors

Multiple views of the same planar object can be related by homographies

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Projective Geometry1

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Homographies- Homographies hold both for object or camera movements
- The points must be coplanar

H

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Coplanar face model- Silhouette points are excluded (out of main plane)
- Half the nose points are excluded (easy occlusion)
- First iteration: At least 8 correspondences to compute H (4 2D-points)

Model Coordinates

Image Coordinates

Gradient normal to the shape contour

Projective transformations

Do not preserve angles nor distance relationships

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Image MatchingH

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Conclusions on PASM- If multi-view dataset available
- Almost invariant to rotations up to 60 degrees

- Training only on frontal views
- Considerably reduces (50%) variation of ASM due to viewpoint

- Left-right rotations better handled than up-down nodding
- Very difficult to compare to other results
- Points used for alignment can affect performance
- Not considerable for expected ASM precision

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