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Questions and Answers
What is the rank of the centered measurement matrix formed from N points tracked over F frames?
What is the rank of the centered measurement matrix formed from N points tracked over F frames?
In the factorization algorithm, what does the matrix D' represent?
In the factorization algorithm, what does the matrix D' represent?
What is the purpose of solving for Q in the factorization approach?
What is the purpose of solving for Q in the factorization approach?
What is the result of defining M as U' D'^1/2 in the factorization algorithm?
What is the result of defining M as U' D'^1/2 in the factorization algorithm?
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What is the dimension of the matrix U in the SVD of W in the factorization algorithm?
What is the dimension of the matrix U in the SVD of W in the factorization algorithm?
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Why is linearizing and iterating necessary when solving the nonlinear equations in factorization problems?
Why is linearizing and iterating necessary when solving the nonlinear equations in factorization problems?
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In the context of perspective projection, what effect does a weak perspective approximation have on the appearance of objects?
In the context of perspective projection, what effect does a weak perspective approximation have on the appearance of objects?
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What is the main difference between orthographic projection and perspective projection?
What is the main difference between orthographic projection and perspective projection?
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When using homogeneous coordinates, what allows for the representation of translations in a 3D space?
When using homogeneous coordinates, what allows for the representation of translations in a 3D space?
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How are multiple points represented and manipulated in the frames notation approach?
How are multiple points represented and manipulated in the frames notation approach?
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Which approach involves recovering the positions of multiple points by factoring out the common transformation between them and their respective reference frames?
Which approach involves recovering the positions of multiple points by factoring out the common transformation between them and their respective reference frames?
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What is the purpose of setting the origin of the world coordinate system at the center of pass of multiple points in factorization approach?
What is the purpose of setting the origin of the world coordinate system at the center of pass of multiple points in factorization approach?
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What is the maximum rank of a 6x4 matrix?
What is the maximum rank of a 6x4 matrix?
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If matrix A has rank 2 and matrix B has rank 3, what is the maximum possible rank of the product A*B?
If matrix A has rank 2 and matrix B has rank 3, what is the maximum possible rank of the product A*B?
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If a 3x4 matrix maps points from 3D to 2D space, what is the intrinsic dimension of the mapped 2D space?
If a 3x4 matrix maps points from 3D to 2D space, what is the intrinsic dimension of the mapped 2D space?
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If the measurement matrix $W_{2F\times N}$ has rank 3, how many non-zero eigenvalues will it have?
If the measurement matrix $W_{2F\times N}$ has rank 3, how many non-zero eigenvalues will it have?
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In the factorization $W_{2F\times N} = U_{2F\times N} D_{N\times N} V^T$, if the rank of $W$ is 3, how many columns of $V$ correspond to non-zero singular values?
In the factorization $W_{2F\times N} = U_{2F\times N} D_{N\times N} V^T$, if the rank of $W$ is 3, how many columns of $V$ correspond to non-zero singular values?
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If a camera matrix $P$ has rank 3, what type of projection does it represent?
If a camera matrix $P$ has rank 3, what type of projection does it represent?
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