My Math Forum Creating a camera with minimum distortion?

 Elementary Math Fractions, Percentages, Word Problems, Equations, Inequations, Factorization, Expansion

 October 21st, 2016, 12:10 PM #1 Newbie   Joined: Jun 2009 Posts: 19 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: 7,305 Thanks: 2443 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: 19
Thanks: 1

Quote:
 Originally Posted by v8archie The distortion is defined by the shape of the 2d projections I suppose.
Well, that and how you define your pixel grid on that shape. So you might say I'm looking for an optimal shape and grid.

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: 7,305 Thanks: 2443 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: 866 Thanks: 315 If the edges look distorted, I suspect the viewing angle of the image is too large.

 Tags camera, creating, distortion, minimum

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post MMath Physics 10 July 20th, 2016 01:26 AM edwardholmes91 Geometry 7 March 3rd, 2016 07:28 AM azkuene Algebra 3 February 15th, 2012 08:13 PM spittle Linear Algebra 0 March 10th, 2011 05:03 AM

 Contact - Home - Forums - Cryptocurrency Forum - Top