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

2022-07-22 Thread 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.gue...@simtable.com 
CEO, https://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  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 
> wrote:
>
>> Yes, that's what I was calling "splitting the slanted face" this morning.
>> Keep going... :-)
>> ___
>> stephen.gue...@simtable.com 
>> CEO, https://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 
>> 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.gue...@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.gue...@simtable.com 
 CEO, https://www.simtable.com 
 1600 Lena St #D1, Santa Fe, NM 87505
 office: (505)995-0206 mobile: (505)577-5828

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

2022-07-22 Thread Frank Wimberly 
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 
wrote:

> Yes, that's what I was calling "splitting the slanted face" this morning.
> Keep going... :-)
> ___
> stephen.gue...@simtable.com 
> CEO, https://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 
> 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 
>> 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.gue...@simtable.com 
>>> CEO, https://www.simtable.com 
>>> 1600 Lena St #D1, Santa Fe, NM 87505
>>> office: (505)995-0206 mobile: (505)577-5828
>>>
>>
-. --- - / ...- .- .-.. .. -.. / -- --- .-. ... . / -.-. --- -.. .
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Re: [FRIAM] Simple Trig/Geometry challenge. Win a $50 Amazon card :-)

2022-07-22 Thread Stephen Guerin 
Yes, that's what I was calling "splitting the slanted face" this morning.
Keep going... :-)
___
stephen.gue...@simtable.com 
CEO, https://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  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 
> 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.gue...@simtable.com 
>> CEO, https://www.simtable.com 
>> 1600 Lena St #D1, Santa Fe, NM 87505
>> office: (505)995-0206 mobile: (505)577-5828
>>
>
-. --- - / ...- .- .-.. .. -.. / -- --- .-. ... . / -.-. --- -.. .
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