You are given a set of point cloud data from a 3D scan an object. The data points need to be transformed to align with a reference coordinate system. The inifial coordinates of the points are (4, 5, 6) .You need to apply a translation and then a rotation to these points.Tasks: Apply the translation vector (1,-3,2) to the point cloud data. You are given a set of point cloud data from a 3D scan of an object. The data points need to betransformed to align with a reference coordinate system. The initial coordinates of the points are(4, 5, 6). You need to apply a translation and then a rotation to these points.Tasks:1. Apply the translation vector (1, -3, 2) to the point cloud data.[001]2. Apply the rotation matrix 100 to the translated data.01 0

To perform the required transformations on the point cloud data, we can use the following steps:1.…

Answered: You are given a set of point cloud data…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

You are given a set of point cloud data from a 3D scan an object. The data points need to be transformed to align with a reference coordinate system. The inifial coordinates of the points are (4, 5, 6) .You need to apply a translation and then a rotation to these points.

Tasks:

Apply the translation vector (1,-3,2) to the point cloud data.

You are given a set of point cloud data from a 3D scan of an object. The data points need to be
transformed to align with a reference coordinate system. The initial coordinates of the points are
(4, 5, 6). You need to apply a translation and then a rotation to these points.
Tasks:
1. Apply the translation vector (1, -3, 2) to the point cloud data.
[001]
2. Apply the rotation matrix 1
00 to the translated data.
0
1 0

System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.

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