Metrology
1. Perspective distortion.
2. Depth is lost.
Measure with Reference
Geometric Cues - Projections
Points: 2D Coordinates
Lines: 2D Coordinates
Homogeneous Coordinates
Join = Cross Product.
Vanishing Points and Lines
Joining Parallel Lines?
Determinants (Method 1)
Multiple Lines
Homogenous Equations (Method 2)
Solving Homogenous Equations
2D Transforms
Homography
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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.
Synonym: Projective transformation
Rectification
Homography Matrix
Homography Estimation
Homography Estimation
Homography Estimation
Homography Estimation: Minimum
Requirement
8 Unknowns
4 Correspondences Sufficient to Solve.
Applications of Homography
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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).
This has many practical applications, such as
image rectification, image registration, or
computation of camera motion (rotation and
translation) between two images.
Feature Matching
Example Feature Detection Methods:
or
Feature Matching