Re: scale transformation



On 10 Jul 2005 19:03:22 -0700, eli.ipod@xxxxxxxxx wrote:

>I'm looking for a solution to the following problem:
>Suppose I have 2 rectangles that intersect each other in
>two-dimensional space. Note that these rectangles MAY VERY WELL BE
>rotated at varying angles; for example, one may be rotated 30 degrees
>and one may be rotated 45 degrees. I know the locations of the corner
>points of each rectangle. Now, suppose I want to apply a scale
>transformation to the two-dimensional space (including the rectangles).
> If it makes the problem simpler, I would be willing to assume that the
>x and y scale factors are the same. How would I calculate the scale
>factor(s) that would cause the two rectangles to stop intersecting?
>Thanks.

If you mean what I think you mean, you can't. Think about it this way:
If you put your picture under a microscope so they have the appearance
of having a large scaling factor applied, they still intersect. Or if
you move the picture so far away from you that they are appear scaled
very small, they still intersect. Unless I don't understand what you
are asking.

--Lynn
.



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