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Metrology 1.Perspective distortion. 2.Depth is lost.

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Presentation on theme: "Metrology 1.Perspective distortion. 2.Depth is lost."— Presentation transcript:

1 Metrology 1.Perspective distortion. 2.Depth is lost.

2 Measure with Reference

3 Geometric Cues - Projections

4 Points: 2D Coordinates

5 Lines: 2D Coordinates

6 Homogeneous Coordinates

7 Join = Cross Product.

8 Vanishing Points and Lines

9 Joining Parallel Lines?

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11 Determinants (Method 1)

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13 Multiple Lines

14 Homogenous Equations (Method 2)

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16 Solving Homogenous Equations

17 2D Transforms

18 Homography  Homography is a concept in the mathematical science of geometry. A homography is an invertible transformation from the real projective plane to the projective plane that maps straight lines to straight lines. mathematicalgeometryreal projective plane  Synonym: Projective transformation

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20 Rectification

21 Homography Matrix

22 Homography Estimation

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25 Homography Estimation: Minimum Requirement 8 Unknowns 4 Correspondences Sufficient to Solve.

26 Applications of Homography  In the field of computer vision, any two images of the same planar surface in space are related by a homography (assuming a pinhole camera model).computer visionpinhole camera model  This has many practical applications, such as image rectification, image registration, or computation of camera motion (rotation and translation) between two images. image rectificationimage registration

27 Feature Matching or Example Feature Detection Methods:

28 Feature Matching


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