Y-Directed Shift Matrix and Equivalence

Question

Y-Directed Shift Matrix and Equivalence

I want to know how to rotate and scale the equivalent y-direction shift matrix?

1     0     0

shx   1    -shy.xref

0     0      1

I figured out what shear means, but how do I get it using rotation and scaling?

Thank you:)

+2

graphics

smile May 18 '10 at 9:10

a source to share

3 answers

shoosh · Answer 1 · 2010-05-18T09:15:13+0000

Compression cannot be built using only rotation and scaling.
Slice is an affine transform, while rotation and scaling are "hard" transforms that are less expressive.

more on this:
http://en.wikipedia.org/wiki/Affine_transformation

S Kh · Answer 2 · 2013-06-16T18:57:27+0000

How about this link: shear with rotation and scaling

Utkarsh Bhardwaj · Answer 3 · 2014-01-17T18:45:03+0000

Perhaps it can be done by rotating followed by uneven scaling and reverse rotation. Details can be found here in the third question http://www.cs.cmu.edu/~djames/15-462/Fall03/assts/15-462-Fall03-wrAssign1-answer.pdf . you can also try the following openGL code. It rotates the rectangle 45 degrees, then scales along the x-axis. and then rotates at -26 degrees, i.e. atan (0.5). 0.5 comes from finding the angle between the x-axis and one side after scaling along the x-axis.

glRotatef (-26.0, 0.0, 0.0, 1.0);

glScalef (2,1,1);

glRotatef (45.0, 0.0, 0.0, 1.0);

glRectf (0, 0, 25.0, 25.0);

Y-Directed Shift Matrix and Equivalence

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