Computer Vision Mid-Level Vision Projective Geometry The - PowerPoint PPT Presentation

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Computer Vision Mid-Level Vision Projective Geometry The projective projection of a 3D point: For the fundamental matrix: Ambiguity Projective ambiguity 2D projective plane Ideal points: Conics FIVE POINTS DEFIN E A CONIC Dual conics

Computer Vision Mid-Level Vision
Projective Geometry • The projective projection of a 3D point: For the fundamental matrix: Ambiguity
Projective ambiguity
2D projective plane
Ideal points:
Conics FIVE POINTS DEFIN E A CONIC
Dual conics
Projective transformation
Transformation of lines and conics
Transformation types Similarity Affine Projective
Decomposition
Invariants
The line at infinity
Circular points
The conic dual to the circular points
Metric rectification
Planes 3 points define a plane. 3 planes define a point. A lines may be identified by its points intersecting two planes.
Projective transforms
Quadrics
Protectively equivalent
The plane at infinity
The absolute conics Absolute dual quadric

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Computer Vision Mid-Level Vision Projective Geometry The - PowerPoint PPT Presentation

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