# Questions tagged [computer-vision]

Mathematical methods used in widely understood computer vision.

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### Velocity field and deformation flow in diffeomorphic registration

I am trying to implement a diffeomorphic registration of two images using an unsupervised algorithm$^\color{magenta}{\star}$ and one of the steps is a generation of velocity field $\bf z$ which is ...
17 views

### Choosing number of subdivisions for approximating double integrals in context of image processing

I have a few double integrals that I have to approximate that are based on getting motion parameters from a sequence of images, and I have chosen to use Riemann sums for that purpose. These integrals ...
1 vote
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### Deriving equations for estimating the motion parameters of a rigid body [closed]

I am referencing the book "Robot Vision" by Dr Horn. There, he provides the following equations for estimating the general motion parameters of a rigid body:- ∫∫((u-ur)β - (v - vr)α)(-xyβ + (...
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1 vote
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1 vote
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### Recovering 3D from inverse disparity and instinct matrix

I am facing the challenge to recover the Z coordinate from an inverse disparity map and the instinct matrix K. The Z coordinate does not have to be metric but it has to be scale aware.  K_{3\times ...
314 views

### Gauss-Newton normal equations with norm of residual

The Wiki definition of Gauss-Newton has the following scalar cost function: $S({\boldsymbol {\beta }})=\sum _{i=1}^{m}r_{i}^{2}({\boldsymbol {\beta }}).$ where $r_i(\beta)$ are scalar ...
41 views

### How to calculate 3D depth reconstruction of an image using a set of 3 similar images?

I have tried asking this in computer science SE, but sadly get no answers. Since this is fundamentally mathematical, I hope someone could give pointers to an answer for this, please. From a set of 2 ...
127 views

### Understanding focal length (Camera intrinsics)

I'd like to know if my understanding is correct regarding camera focal length. The intrinsics of the camera consists the focal length (and of course other parameters, not focusing on them here..) ...
1 vote
331 views

### Back-Projection of points to rays

I'd like if someone could elaborate on the definition of the following formula, X(λ) = pinv(P)x + λC. According to Zisserman book (multiple view geometry) page 162 (6.13), and to my understanding (...