Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
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

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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question
D1
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?
Transcribed Image Text: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?
Expert Solution
steps

Step by step

Solved in 3 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS