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Titlebook: Deformable Surface 3D Reconstruction from Monocular Images; Mathieu Salzmann,Pascal Fua Book 2011 Springer Nature Switzerland AG 2011

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楼主: dilate
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https://doi.org/10.1007/978-1-349-66022-3 both the shape of thin objects that can be treated as surfaces without perceptible thickness and the visible envelope of fully 3D objects. Whereas this may seem easy for a human being, it remains a challenging and ambiguous problem for computer-based techniques. This is especially true when the sen
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https://doi.org/10.1007/978-1-349-10358-4ew shape in that image amounts to solving the linear system of Eq. 3.16. We write it here again as . contains the 3D coordinates of the . vertex of the .-vertex triangulated mesh representing the surface, and . is a matrix that depends on the coordinates of correspondences in the input image and on
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Palgrave‘s Dictionary of Political Economyingle input image, given that another image in which the shape is known can be used as a reference. However, in practice, such a reference may not always be available and there is a need for methods that can operate without one.
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Palgrave‘s Dictionary of Political Economy factorizing a measurement matrix into a product of two matrices. This can be expressed as. where . is the measurement matrix, . contains products of the shape coefficients with the motion parameters, and . contains the shape basis. However, as mentioned in Section 5.4, this factorization is subject
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Palgrave‘s Dictionary of Political Economyiven point correspondences. The former can be made very reliable when a template is available but are of course inappropriate otherwise, which is often the case in practice.When video sequences are available, the latter can be invoked instead and are very effective when the deformations are not too
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Palgrave‘s Dictionary of Political Economye coefficient values and basis shape magnitudes. In addition to those theoretical ambiguities, the problem also is ill-conditioned due to the presence of image noise. As a consequence, constraintsmust be incorporated into the factorization to overcome these issues.
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Performing Non-Rigid Structure from Motion,e coefficient values and basis shape magnitudes. In addition to those theoretical ambiguities, the problem also is ill-conditioned due to the presence of image noise. As a consequence, constraintsmust be incorporated into the factorization to overcome these issues.
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