Math Is Fun Forum

Good Afternoon Everyone,

I have a problem that I was hoping you clever people may be able to help me with.

So, I am working on a camera focusing rig for a small camera module. The camera has a 42° FOV and the nominal focal distance required is 83mm. This is the distance along the centre line between the camera and a focus calibration image. This image is located on an inclined plane to provide 50mm of depth of field across the FOV. I am wanting to find the relationship between the focal distance and the length of the inclined plane and the angle required to maintain a DOF of 50mm

I have attached an image which will hopefully makes this easier to understand. This image has been knocked together in Visio, and I have used it to produce rough values for Theta and H, but it's very iterative and nasty, so I am trying to establish the formulae required to calculate angle theta and length H when I vary the focal distance. Regardless of how many triangles I draw on this image, I'm unable to progress.

Any help would be appreciated, any questions do let me know.

Regards,

Rob

Hello all,

I was hoping you would be so kind as to help me with a problem that I'm having. I would like to calculate 141^(162^164), but the result is rather large and exceeds the capabilities of any software I have yet encountered.

I've tried using BC (see en.wikipedia.org/wiki/Bc_programming_language), you probably know that it's a very capable arbitrary precision calculator, but it can't manage it, it tells me that the 'exponent is too large in raise'.

Does anyone have any ideas? Do I have any chance of producing an actual result?

It's might be worth telling you that I know C, so can write some code to help, but the issue I have is that the types available in C aren't big enough, so I wouldn't even know where to start.

Thanks,

Rob