Tagged Questions
0
votes
1answer
40 views
How to find a new point on rectangle based on an known point on the same?
I have rotated a rectangle a certain amount of degree and got the point(x,y)=(130,40) which was previously (152,60). Now i want to find the x,y(marked as red) value at another location based on the ...
3
votes
1answer
36 views
Scale change on Quadratic
Consider the two functions $f(x)=ax^2$ and $g(x)=bx^2$.
Using this transformation form $T(x,y)=(cx,cy)$,
find a scale change that maps $f(x)$ onto $g(x)$
1
vote
1answer
350 views
Find 3D rotation vector and angle to transform a rectangle into a given quadrilateral
I have a given rectangle that I need to transform into a given quadrilateral shape that resulted from a rotation and translation in 3D space, and subsequent projection.
...
0
votes
0answers
54 views
How can I convert lines intersecting a plane into a focused image?
I am writing a particle transport code. I would like to be able to obtain an image of my geometry when transporting photons given the following information:
The photons are incident on a plane.
For ...
14
votes
4answers
570 views
How does multiplying by trigonometric functions in a matrix transform the matrix?
I found this comic:
But I can't understand the humor because I can't understand how trig functions affect matrix multiplication. Can someone please explain?
5
votes
1answer
409 views
A limit and a coordinate trigonometric transformation of the interior points of a square into the interior points of a triangle
The coordinate transformation (due to Beukers, Calabi and Kolk)
$$x=\frac{\sin u}{\cos v}$$
$$y=\frac{\sin v}{\cos u}$$
transforms the square domain $0\lt x\lt 1$ and $0\lt y\lt 1$ into the ...
