Processing Implementation: Project$\_$Samplesize$(800,600,$ P$3$D$)$; $//$ set up drawing canvas

$\}$

float angle $=0$; $//$ define variable$($s$)$ as neccessary

void draw$()\{$stroke$(255,0,0)$; $//$ stroke color$//$ apply Transformation matrix$0,1,0,0,0,0,1,0,//$ draw a shape from verticesvertex$(0,0)$;vertex $(50,50)$;endShape$()$;

$\}$

Download Processing $>$ and install it on your computer.

Create a drawing canvas with the window size of $800600$ pixels.

Use the background color, shape color, and stroke color of your choice.

Draw a shape on the drawing canvas by connecting all these following vertices:

$V=\left[\begin{array}{cccccccccc}0& 100& 100& 120& 80& 40& 60& 60& 0& 0\\ 0& 0& 100& 100& 140& 100& 100& 40& 40& 0\end{array}\right]$

Determine a $44$ matrix that produces each of the following composite $2$D transformations

using homogeneous coordinates.

a$.$ Translate by $(200,50)$ and then rotate $45$ degree about the origin

b$.$ Rotate $45$ degree about the origin and then translate by $(200,50)$

c$.$ Rotate $-90$ degree about the origin, then scale the $x-$coordinate by $2$ and the $y-$coordinate

by $0\mathrm{.}5.$ After that translate by $(400,300)$

d$.$ Scale the $x-$coordinate by $2$ and the $y-$coordinate by $0\mathrm{.}5,$ then rotate $-90$ degree about the

origin. After that translate by $(400,300)$

e$.$ Apply shear transformation along the $x-$axis with the factor of $1\mathrm{.}25,$ then reflect the shape

through $y=x$

f$.$ Reflect the shape through $y=x,$ then apply shear transformation along the $x-$axis with the

factor of $1\mathrm{.}25$

Apply EACH composite transformation matrix obtained in $5$ to transform the shape. $($You should

obtain $6$ transformed shapes.$)$

Take screenshots of the transformed shapes and the snapshot of your code

Compose a Project Report: Use Microsoft Word to compose your report.

Cover page: Includes course number and name, project name, your name and PantherID.

Calculations: Show steps of calculation on how to obtain each composite transformation

matrix.

Results: Attach the screenshots of the original shape $($without any transformation$)$ plus all $6$

transformed shapes along with your code.

Discussion: For each transformation, comment on what you observed from the results.