[FRIAM] Simple Trig/Geometry challenge. Win a $50 Amazon card :-)

[Stephen Guerin]

Yes, that's what I was calling "splitting the slanted face" this morning.
Keep going... :-)
_______________________________________________________________________
Stephen.Guerin at Simtable.com <stephen.guerin at simtable.com>
CEO, https://www.simtable.com <http://www.simtable.com/>
1600 Lena St #D1, Santa Fe, NM 87505
office: (505)995-0206 mobile: (505)577-5828


On Fri, Jul 22, 2022 at 2:29 PM Frank Wimberly <wimberly3 at gmail.com> wrote:

> Drop a perpendicular from the alpha vertex to S2.
>
> ---
> Frank C. Wimberly
> 140 Calle Ojo Feliz,
> Santa Fe, NM 87505
>
> 505 670-9918
> Santa Fe, NM
>
> On Fri, Jul 22, 2022, 1:34 PM Stephen Guerin <stephen.guerin at simtable.com>
> wrote:
>
>> Today at Friam, I showed a small problem I was working on in
>> photogrammetry. Attached is a Netlogo visualization of the geometry of the
>> system.
>>
>> The problem is:  given an image where we know two star coordinates (RA,
>> DEC), solve for the field of view of the image. We can get the spherical
>> angle between the stars (alpha) and we know the principal point and two UV
>> coordinates in the image. These create a right triangle pyramid and I want
>> to solve for the height X (focal length). Here's a diagram.
>>
>> [image: rightTrianglePyramid.jpg]
>> Law of Cosines can get all the interior angles of the bases with S1, S2,
>> S3.
>>
>>
>>
>> _______________________________________________________________________
>> Stephen.Guerin at Simtable.com <stephen.guerin at simtable.com>
>> CEO, https://www.simtable.com <http://www.simtable.com/>
>> 1600 Lena St #D1, Santa Fe, NM 87505
>> office: (505)995-0206 mobile: (505)577-5828
>>
>
-------------- next part --------------
An HTML attachment was scrubbed...
URL: <http://redfish.com/pipermail/friam_redfish.com/attachments/20220722/fde94113/attachment.html>