OpenCV Q&A Forum - RSS feedhttp://answers.opencv.org/questions/OpenCV answersenCopyright <a href="http://www.opencv.org">OpenCV foundation</a>, 2012-2018.Tue, 15 Apr 2014 09:44:52 -0500Interpolation by Optimizationhttp://answers.opencv.org/question/31757/interpolation-by-optimization/I have the following interpolation problem:
Given an M by N channel image (1 Channel).
A certain set of pixels are defined as anchors.
The rest of the pixels should be interpolated using the original data by minimizing the follwoing cost function:
![image description](/upfiles/13975225287202085.png)
Where E is the new matrix of interpolated pixels and I is the original image.
Pay attention that the interpolated image equals the original image at the anchor pixels.
The inteprolation weights are given by:
![image description](/upfiles/13975226236514581.png)
My question is, how can I formalize it in Weighted LS form?
Any optimization could be made to solve it quickly and efficiently?
This interpolation could be used as a minimization for many application in image processing (Edge Preserving Interpolation, Colorization, etc...).
Thank You.Mon, 14 Apr 2014 19:45:49 -0500http://answers.opencv.org/question/31757/interpolation-by-optimization/Comment by Royi for <p>I have the following interpolation problem:</p>
<p>Given an M by N channel image (1 Channel). <br>
A certain set of pixels are defined as anchors.
The rest of the pixels should be interpolated using the original data by minimizing the follwoing cost function:</p>
<p><img alt="image description" src="/upfiles/13975225287202085.png"></p>
<p>Where E is the new matrix of interpolated pixels and I is the original image. <br>
Pay attention that the interpolated image equals the original image at the anchor pixels.</p>
<p>The inteprolation weights are given by:</p>
<p><img alt="image description" src="/upfiles/13975226236514581.png"></p>
<p>My question is, how can I formalize it in Weighted LS form? <br>
Any optimization could be made to solve it quickly and efficiently?</p>
<p>This interpolation could be used as a minimization for many application in image processing (Edge Preserving Interpolation, Colorization, etc...).</p>
<p>Thank You.</p>
http://answers.opencv.org/question/31757/interpolation-by-optimization/?comment=31804#post-id-31804Anyone?
It should be pretty widely used optimization problem.Tue, 15 Apr 2014 09:44:52 -0500http://answers.opencv.org/question/31757/interpolation-by-optimization/?comment=31804#post-id-31804