D1 3. Given is the equation below for a so-calledhorizontal shear, one type of an affinegeometric transformation:(x1,0)%3D(x",0)X1x =x+ syy yIn this equation (x,y) are coordinates in thesource image; (x y) are the correspondingcoordinates in the new (sheared) image. In thefigure at the right for one point (xI,0) in thesource image the corresponderendingtransformed point is given: the source pointand the transformed point coincide.• Construct, in the figure, the shear of two different points. The x-coordinates ofthese two point should be similar to that of the given point (so the source pointslie somewhere on the vertical dashed line). Choose as shear factor s = 1,5. Showyour construction method.%3DWhat would happen when a line parallel to the dashed line would be sheared withthe same shear factor?

Thresholding is an image processing technique which creates a Bitonal(Binary) image based on a…

Answered: 3. Given is the equation below for a…

3. Given is the equation below for a so-called horizontal shear, one type of an affine geometric transformation: (X1,0) = (x,,0) X1 X-x+sy y = y y

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

3. Given is the equation below for a so-called
horizontal shear, one type of an affine
geometric transformation:
(x1,0)%3D(x",0)
X1
x =x+ sy
y y
In this equation (x,y) are coordinates in the
source image; (x y) are the corresponding
coordinates in the new (sheared) image. In the
figure at the right for one point (xI,0) in the
source image the corresponderending
transformed point is given: the source point
and the transformed point coincide.
• Construct, in the figure, the shear of two different points. The x-coordinates of
these two point should be similar to that of the given point (so the source points
lie somewhere on the vertical dashed line). Choose as shear factor s = 1,5. Show
your construction method.
%3D
What would happen when a line parallel to the dashed line would be sheared with
the same shear factor?

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