# cvpr maths -- 2

Job Description:

i want the below questions answered:

We aim to create a 3D point-cloud from three different views of a scene. The following

question will address the various steps involved in generating 3D from three views of the

scene.

1st: Let’s consider affine transformations, which are any transformations that preserve

parallelism. Affine transformations include not only rotations and translations, but

also scaling and shearing. Given some vector p, an affine transformation is defined

as: A(p) = Mp + b, where M is an invertible matrix. Prove that under any affine

transformation, the ratio of parallel line segments is invariant, but the ratio of nonparallel line segments is not invariant

2nd: We want to calibrate the intrinsic parameters of all the 4 cameras. Describe a way

to calculate the intrinsic parameters of the camera. Provide a derivation to estimate

the intrinsic parameters for one camera.

3rd: Explain the stages involved in creating a 3D point cloud from these four views –

give a 3-4 line description for each stage along with the equations.

4th: Write a derivation of estimating Fundamental matrix from 8 corresponding points

for a pair of views.

5th:Explain how will you use the Fundamental matrix F and the Intrinsic parameters

of each of the cameras to enforce Epipolar constraints to refine the correspondences

to obtain the 3D point cloud.

6th: Now you have the 3D scene point cloud and you have obtained a new image of

the scene with known intrinsic calibration. How will you establish correspondences

between the 3D point cloud and the new 2D image of the scene.

О клиенте:
( 3 отзыв(-а, -ов) ) athens, Greece

ID проекта: #35707665

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