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Questions and Answers
How many point correspondences are needed to estimate the fundamental matrix?
How many point correspondences are needed to estimate the fundamental matrix?
- Three
- Ten
- Seven (correct)
- Five
What does the equation $x' ^ op Fx = 0$ represent in epipolar geometry?
What does the equation $x' ^ op Fx = 0$ represent in epipolar geometry?
- A homography matrix
- A perspective transformation
- A vanishing point
- An epipolar line (correct)
Who coined the term 'fundamental matrix'?
Who coined the term 'fundamental matrix'?
- QT Luong (correct)
- Richard Hartley
- H. Christopher Longuet-Higgins
- Olivier Faugeras
What is the essential difference between the fundamental matrix and the essential matrix?
What is the essential difference between the fundamental matrix and the essential matrix?
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What type of tensor is the fundamental matrix described as?
What type of tensor is the fundamental matrix described as?
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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.
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