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October 21st, 2016, 12:10 PM  #1 
Newbie Joined: Jun 2009 Posts: 18 Thanks: 1  Creating a camera with minimum distortion?
I'm working on creating different 3D cameras, each camera being a bunch of rays coming out of a single point in certain directions, each ray representing a pixel. Currently I have a common camera setup where all rays are coming from a zero origin point and passing through midpoints of cells on a flat rectangular grid representing computer screen. That creates a lot of distortion at the edges of the screen and I'm looking for a way to improve that. I thought about replacing a flat grid with a hemisphere and cast the rays through equidistantly placed points on it. As far as I understand it is not possible to equally distribute arbitrary number of points on the sphere and I don't want to find these locations numerically unless it's the only way to do it. So I'd like to ask, since the camera surface is a hemisphere, does it change anything or there is no solution for hemisphere as well? Or maybe there are some other ways to create less distorted 2d projection of a 3d virtual space? Thank you! 
October 21st, 2016, 12:34 PM  #2 
Math Team Joined: Dec 2013 From: Colombia Posts: 6,397 Thanks: 2105 Math Focus: Mainly analysis and algebra 
For different distortions you should look to projections used by cartographers, but essentially, the distortion is defined by the shape of the 2d projections I suppose.

October 22nd, 2016, 10:46 AM  #3  
Newbie Joined: Jun 2009 Posts: 18 Thanks: 1  Quote:
So you are saying it is not a mathematical question and I won't get much help here, I need a "cartographers forum"? Or is it in the wrong section on this forum?  
October 22nd, 2016, 11:56 AM  #4 
Math Team Joined: Dec 2013 From: Colombia Posts: 6,397 Thanks: 2105 Math Focus: Mainly analysis and algebra 
I know very little about the topic, perhaps others know more. Certainly there is plenty of mathematics behind projections. My suggestion just seemed to be of practical use.

October 23rd, 2016, 11:05 PM  #5 
Senior Member Joined: Apr 2014 From: UK Posts: 673 Thanks: 261 
If the edges look distorted, I suspect the viewing angle of the image is too large.


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camera, creating, distortion, minimum 
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