# Inversion problem

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1. Oct 13, 2014

### Edward Zhang

I have some measurement data for known spectrum. Now I want to establish a algorithm for later measurement of unknown spectrum. I attached the equation in the image. r g b filters apply to the true spectrum I I am looking for. R G B are the measurement getting from the device. I1, I2, I3 are different spectrum measured. I want to based on the measured RGB values and known spectrum I1 I2 I3 to figure out r g b, so later I can use it for retrieve for other unknown I. I can figure out r g b with only one I, but I would thinking that's not accurate, so I want to bring in more known spectrum to form a training set. Anyone can help me with that? All the values are vectors contain 300 numbers.
[PLAIN][PLAIN][PLAIN]https://www.physicsforums.com/file:///C:\Users\zcj\AppData\Roaming\Tencent\Users\403532326\QQ\WinTemp\RichOle\_M4KG7AMP48RLCUO%GG$WF.jpg [Broken] [Broken] [Broken] [Broken] [PLAIN][PLAIN][PLAIN]https://www.physicsforums.com/file:///C:\Users\zcj\AppData\Roaming\Tencent\Users\403532326\QQ\WinTemp\RichOle\_M4KG7AMP48RLCUO%GG$WF.jpg [Broken] [Broken] [Broken] [Broken]
[PLAIN][PLAIN][PLAIN]https://www.physicsforums.com/file:///C:\Users\zcj\AppData\Roaming\Tencent\Users\403532326\QQ\WinTemp\RichOle\_M4KG7AMP48RLCUO%GG$WF.jpg [Broken] [Broken] [Broken] [Broken] [PLAIN][PLAIN][PLAIN]https://www.physicsforums.com/file:///C:\Users\zcj\AppData\Roaming\Tencent\Users\403532326\QQ\WinTemp\RichOle\_M4KG7AMP48RLCUO%GG$WF.jpg [Broken] [Broken] [Broken] [Broken]
[PLAIN][PLAIN][PLAIN]https://www.physicsforums.com/file:///C:\Users\zcj\AppData\Roaming\Tencent\Users\403532326\QQ\WinTemp\RichOle\_M4KG7AMP48RLCUO%GG$WF.jpg [Broken] [Broken] [Broken] [Broken] [PLAIN][PLAIN][PLAIN]https://www.physicsforums.com/file:///C:\Users\zcj\AppData\Roaming\Tencent\Users\403532326\QQ\WinTemp\RichOle\_M4KG7AMP48RLCUO%GG$WF.jpg [Broken] [Broken] [Broken] [Broken]

#### Attached Files:

• ###### equation.jpg
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Last edited by a moderator: May 7, 2017
2. Oct 19, 2014