Finding the matrix associated with a radiographic transformation, and using the matrix to determine radiographic outputs. Height and width of image in voxels: n = 2 (Total voxels N = 4) • Pixels per view in radiograph: m = 4 • ScaleF ac = √ 2/2 • Number of views: a = 1 • Angle of the views: θ1 = 45◦   (a) Sketch this setup. (b) Calculate the matrix associated with the setup. (c) Repeat step (b) using the code

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Matrices And Determinants
Section: Chapter Questions
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Finding the matrix associated with a radiographic transformation, and using the matrix to determine radiographic outputs.
Height and width of image in voxels: n = 2 (Total voxels N = 4)

• Pixels per view in radiograph: m = 4 • ScaleF ac = √ 2/2

• Number of views: a = 1

• Angle of the views: θ1 = 45◦

 

(a) Sketch this setup.

(b) Calculate the matrix associated with the setup.

(c) Repeat step (b) using the code tomomap. How you can use this is first by opening the mfile tomomap.m in MatLab or drag it into Octave. The code to do this is T=full(tomomap(n,m,th,ScaleFac)) so for example if n = 4, m = 4, and the angles are 0, 20, and 90, with a scale factor of 1, you would write T=full(tomomap(4,4,[0 20 90],1)) Note to write √ 2, write sqrt(2).

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