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

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

Jul 17, 2023 201 likes •519 views

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

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Computer Vision

Mid-Level Vision

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Projective Geometry

  • The projective projection of a 3D point:

Ambiguity For the fundamental matrix:

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Projective ambiguity

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2D projective plane

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Ideal points:

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Conics

FIVE POINTS DEFIN E A CONIC

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Dual conics

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Projective transformation

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Transformation of lines and conics

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Transformation types

Similarity Affine Projective

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Decomposition

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Invariants

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The line at infinity

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Circular points

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The conic dual to the circular points

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Metric rectification

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Planes

3 points define a plane. 3 planes define a point. A lines may be identified by its points intersecting two planes.

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Projective transforms

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Quadrics

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Protectively equivalent

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The plane at infinity

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The absolute conics

Absolute dual quadric

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