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

[Stephen Guerin]

I don't know what you're experience was at Carnegie Tech / CMU, but we
don't give credit for partial work here ;-p
_______________________________________________________________________
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 2:45 PM Frank Wimberly <wimberly3 at gmail.com> wrote:

> Alternatively, bisect the segment S2 and draw a line from alpha to that
> point.
>
> ---
> Frank C. Wimberly
> 140 Calle Ojo Feliz,
> Santa Fe, NM 87505
>
> 505 670-9918
> Santa Fe, NM
>
> On Fri, Jul 22, 2022, 2:38 PM Stephen Guerin <stephen.guerin at simtable.com>
> wrote:
>
>> 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
>>>>
>>> -. --- - / ...- .- .-.. .. -.. / -- --- .-. ... . / -.-. --- -.. .
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