Questions tagged [computer-vision]

Mathematical methods used in widely understood computer vision.

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Curve Fitting and continuous identification of parameterized matrix eigenvector from unconnected data points

I need some help potentially applying machine learning or curve fitting techniques to a numerical linear algebra problem I am working on. I have a parameterized symmetric matrix $M(s)$ whose ...
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Book Recommendation on Edge or Boundary Detection

I have recently being interested in the estimation of discontinuities or jumps from noisy signals or densities and spend some time reading "Image Processing and Jump Regression Analysis" by ...
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Confused about notations used in a Computer Vision paper

I was reading a computer vision paper for 3D reconstruction and was a bit confused by two notations: https://www.researchgate.net/publication/327805907_3D_Image_Reconstruction_from_Multi-...
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Computer Vison geometry: distance estimation of moving object from single fixed camera

I have a problem that I am still not sure if it's solvable. I have a system with a single fixed camera pointing to a fixed background (i.e., a wall). the distance between lens and background (at the ...
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Reversing perspective projection of cricles

I have a set of real-world images containing circles, but due to the images not being taken parallel to the circle plane, the circles appear as ellipses in the images. I need to crop out the inside of ...
1 vote
132 views

Vanishing points are collinear

I am studying projective geometry where I came across a definition of vanishing line, "The line containing the vanishing point of 2 or more sets of parallel lines on a plane form the vanishing ...
1 vote
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Min-Sum Belief Propagation not working on a chain model with equal unary potentials

Given is a chain factor graph as presented in the image below with the following properties: Each node can take values 0 or 1 All unary potentials are equal (e.g. $U(a) = 0$ for every node) All ...
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Neural Networks Miscalibration Measure

I have read two papers related on a neural networks miscalibration problem (first: "On Calibration of Modern Neural Networks", link: https://arxiv.org/abs/1706.04599 ; second: "...
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Self-Calibration in Aerial Computer Vision

I have read that there are 4 common procedures for auto-calibration in Computer Vision: Mendonca & Cipolla's Method Classical Kruppa's Method Simplified Kruppa's Method Dual Absolute Quadric ...
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Place the camera to match a given camera - object transformation

I know the pose (in camera frame) of an object related to a camera in real world (results are coming from a 6d-pose estimator). In the simulation I want to replicate the same view and same position (...
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1 vote
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Decomposition of a projective transformation of $\mathbb{P}^2$

On page 42 of Hartley-Zisserman's Multiple View geometry in Computer Vision, it states that a projective transformation of the plane (which can be represented by a nonsingular matrix $H$) can be ...
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Trouble with chessboard set definition

The following equation is supposed to define a set of points that produces a square grid (like a chessboard). s is the distance between each square in the grid w and h are the dimensions of the board ...
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1 vote
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Combining two fundamental matrices

Let $\mathcal{F_{ab}}$ be the fundamental matrix obtained from images $A$ and $B$  \mathcal{F_{ab}} = \begin{bmatrix} ab_{11} & ab_{12} & ab_{13} \\ ab_{21} & ab_{22} & ab_{23} \\ ...
1 vote
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How to determine the pose of a 3D ellipse given two projections to 2D of the ellipse?

This question is about whether I'm doing an optimization problem the right way, or if it can be done in a simpler way. I'll start with my problem scenario and then move into my proposed solution. I ...
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Prove: affine transformation maps "line at infinity" to "line at infinity"

I'm studying Computer Vision and my lecturer stated that: The affine transformation maps "line at infinity" to "line at infinity". I'm trying to prove it as part of my ...
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Minimization of residual in Shi-Tomasi feature extraction

I don't understand how in the following paper https://users.cs.duke.edu/~tomasi/papers/shi/TR_93-1399_Cornell.pdf (Good features to track) the residual (Eq. 3.1) is differentiated so that Equations 3....
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Transform matrix calculation for image registration known the relative camera poses

I'm working on a problem where I define some positions of a chaser around an target object and take pictures of the same target with 2 cameras separated by a baseline. Example of the described problem ...
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I am learning how to estimate the Fundamental Matrix via the 8-point algorithm: From N > 8 corresponding points that satisfy $xFx' = 0$, we need to solve the LS problem: $kron(x,x')f = 0$ Where \$...