I need accurate ansswer with good content 255 explain the...

Name: i need accurate ansswer with good content 255 explain the concept of coordinate transformation in the context of adaptive optics control 03018
Uploaded: 2023-11-28T01:21:21-08:00
Duration: 2 min 7 s
Channel: Akash M
Description: i need accurate ansswer with good content 255 explain the concept of coordinate transformation in the context of adaptive optics control 03018

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Fundamental Matrix (20 points) - Design and implement a program that, given a stereo pair, determines at least eight point matches, then recovers the fundamental matrix (10 points) and the location of the epipoles (5 points). Check the accuracy of the result by measuring the distance between the estimated epipolar lines and image points not used by the matrix estimation (5 points). Also, overlay the epipolar lines of control points and test points on one of the images (say Image 1 - I already did this in the starting code below). Control points are the correspondences (matches) used in computing the fundamental matrix, and test points are those used to check the accuracy of the computation. Hint: As a first step, you can pick up the matches of both the control points and the test points manually. You may use my MATLAB code (FmatGUI.m) as a starting point - where I provided an interface to pick up point matches by mouse clicks. The epipolar lines should be (almost) parallel in this stereo pair. If not, something is wrong either with your code or the point matches. Feature-based matching (10 bonus points) - Design a stereo vision system to do "feature-based matching" and explain your algorithm in writing - what the feature is, how effective it is, and what are the problems. The system should have a user interface that allows a user to select a point on the first image, say by a mouse click. The system should then find and highlight the corresponding point on the second image, say using a crosshair points). Try to use the epipolar geometry derived from (1) in searching correspondences along epipolar lines. Hint: You may use a similar interface as I did for question (1). You may use the point match searching algorithm in (1) (if you have done so), but this time you need to constrain your search windows along the epipolar lines. Discussions (10 bonus points) - Show your results on points with different properties like those in corners, edges, smooth regions, textured regions, and occluded regions that are visible only in one of the images. Discuss for each case, why your vision system succeeds or fails in finding the correct matches. Compare the performance of your system against a human user (e.g. yourself) who marks the corresponding matches on the second image by a mouse click.

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As shown in FIGURE 8.1.1(a), a spacecraft can perform rotations called pitch, roll, and yaw about three distinctaxes. To describe the coordinates of a point $P$ we use two coordinate systems: a fixed three-dimensional Cartesian coordinate system in which the coordinates of $P$ are $(x, y, z)$ and a spacecraft coordinate system that moves with the particular rotation. In Figure 8.1.1(b) we have illustrated a yaw - that is, a rotation around the $z$ -axis (which is perpendicular to the plane of the paper). The coordinates $\left(x_{Y}, y_{Y}, z_{Y}\right)$ of the point $P$ in the spacecraft system after the yaw are related to the coordinates $(x, y, z)$ of $P$ in the fixed coordinate system by the equations $$ \begin{aligned} &x_{Y}=x \cos \gamma+y \sin \gamma \\ &y_{Y}=-x \sin \gamma+y \cos \gamma \\ &z_{Y}=z \end{aligned} $$ where $\gamma$ is the angle of rotation. (a) Verify that the foregoing system of equations can be written as the matrix equation $$ \left(\begin{array}{l} x_{Y} \\ y_{Y} \\ z_{Y} \end{array}\right)=\mathbf{M}_{Y}\left(\begin{array}{l} x \\ y \\ z \end{array}\right) $$

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Transcript

00:01 Hello, here we are with answers to the given question.

00:02 Let's start the discussion.

00:04 In this context, we are dealing with the fundamental matrix.

00:12 Fundamental matrix here would involve the computerized cases that would be expressing the epipolar geometry.

00:29 And here we are supposed to take the role of straight lines into consideration because it all would be occurring in the form of straight lines.

00:41 So this is how the image would be looking like and also the internal parameter, the role of internal parameters too should be stressed.

00:57 Now let's consider the way to design, implement and check.

01:02 Firstly to design and implement.

01:09 To design and implement, we need to go for something called the matchmaking process...

Question

I need accurate ansswer with good content 255. Explain the concept of coordinate transformation in the context of adaptive optics control.

Question

I need accurate ansswer with good content 255. Explain the concept of coordinate transformation in the context of adaptive optics control.

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