5 Questions
How many point correspondences are needed to estimate the fundamental matrix?
Seven
What does the equation $x' ^ op Fx = 0$ represent in epipolar geometry?
An epipolar line
Who coined the term 'fundamental matrix'?
QT Luong
What is the essential difference between the fundamental matrix and the essential matrix?
The fundamental matrix is for uncalibrated cameras, while the essential matrix is for calibrated cameras.
What type of tensor is the fundamental matrix described as?
Bifocal tensor
Study Notes
Epipolar Geometry
- At least 8 point correspondences are needed to estimate the fundamental matrix.
Epipolar Constraint
- The equation $x' ^T Fx = 0$ represents the epipolar constraint in epipolar geometry, where $x$ and $x'$ are corresponding points in two images.
History of the Term
- The term 'fundamental matrix' was coined by Quentin Longuet-Higgins.
Fundamental Matrix vs Essential Matrix
- The essential difference between the fundamental matrix and the essential matrix is that the fundamental matrix is used for uncalibrated cameras, whereas the essential matrix is used for calibrated cameras.
Properties of the Fundamental Matrix
- The fundamental matrix is described as a 3x3 tensor of rank 2.
Test your knowledge about the fundamental matrix in computer vision and its role in relating corresponding points in stereo images through epipolar geometry.
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