Skip to main content

correlation - How to align images?


I have two grayscale images (img1, img2) which contain objects seen with two cameras. Some objects are the same (not same shape and intensity) and are seen in both images. Some objects are only seen in img1 or img2.


I would like to align the images in such a way that the objects seen in both images are overlapping.


How can I determine the vertical and horizontal shift between the two images?


Here are the images:



img1:


enter image description here


img2:


enter image description here


What I tried:


pts = ImageCorrespondingPoints[img1, img2, KeypointStrength -> 0.0002]

{{{34.6035, 72.9785}}, {{48.1733, 82.9132}}}

xshift = Mean[pts[[All, All, 1]][[2]] - pts[[All, All, 1]][[1]]]


13.5698

yshift = Mean[pts[[All, All, 2]][[2]] - pts[[All, All, 2]][[1]]]

9.93468

This seems to be correct. When I look only at the vertically elongated object in the center of img2 then I find manually roughly: xshift=10, yshift=13.


What confuses me:


The found points pts do not correspond to img1 or img2:



HighlightImage[img1, pts]

enter image description here


HighlightImage[img2, pts]

enter image description here


Where is the error in HighlightImage?


Can ImageCorrelate or ImageAlign be used to find the shift or do you have another solution?



Answer



My solution is the following:



Determine the shift between both images:


{merit, trans} = 
FindGeometricTransform[img2, img1,
TransformationClass -> "Translation"];


enter image description here



Applying the shifts


imgt = ImageTransformation[img2, trans, DataRange -> Full]


Combine images


Blend[{ColorNegate[img1], imgt}, {0.8, 0.2}]


enter image description here



Comments

Popular posts from this blog

front end - keyboard shortcut to invoke Insert new matrix

I frequently need to type in some matrices, and the menu command Insert > Table/Matrix > New... allows matrices with lines drawn between columns and rows, which is very helpful. I would like to make a keyboard shortcut for it, but cannot find the relevant frontend token command (4209405) for it. Since the FullForm[] and InputForm[] of matrices with lines drawn between rows and columns is the same as those without lines, it's hard to do this via 3rd party system-wide text expanders (e.g. autohotkey or atext on mac). How does one assign a keyboard shortcut for the menu item Insert > Table/Matrix > New... , preferably using only mathematica? Thanks! Answer In the MenuSetup.tr (for linux located in the $InstallationDirectory/SystemFiles/FrontEnd/TextResources/X/ directory), I changed the line MenuItem["&New...", "CreateGridBoxDialog"] to read MenuItem["&New...", "CreateGridBoxDialog", MenuKey["m", Modifiers-...

How to thread a list

I have data in format data = {{a1, a2}, {b1, b2}, {c1, c2}, {d1, d2}} Tableform: I want to thread it to : tdata = {{{a1, b1}, {a2, b2}}, {{a1, c1}, {a2, c2}}, {{a1, d1}, {a2, d2}}} Tableform: And I would like to do better then pseudofunction[n_] := Transpose[{data2[[1]], data2[[n]]}]; SetAttributes[pseudofunction, Listable]; Range[2, 4] // pseudofunction Here is my benchmark data, where data3 is normal sample of real data. data3 = Drop[ExcelWorkBook[[Column1 ;; Column4]], None, 1]; data2 = {a #, b #, c #, d #} & /@ Range[1, 10^5]; data = RandomReal[{0, 1}, {10^6, 4}]; Here is my benchmark code kptnw[list_] := Transpose[{Table[First@#, {Length@# - 1}], Rest@#}, {3, 1, 2}] &@list kptnw2[list_] := Transpose[{ConstantArray[First@#, Length@# - 1], Rest@#}, {3, 1, 2}] &@list OleksandrR[list_] := Flatten[Outer[List, List@First[list], Rest[list], 1], {{2}, {1, 4}}] paradox2[list_] := Partition[Riffle[list[[1]], #], 2] & /@ Drop[list, 1] RM[list_] := FoldList[Transpose[{First@li...

mathematical optimization - Minimizing using indices, error: Part::pkspec1: The expression cannot be used as a part specification

I want to use Minimize where the variables to minimize are indices pointing into an array. Here a MWE that hopefully shows what my problem is. vars = u@# & /@ Range[3]; cons = Flatten@ { Table[(u[j] != #) & /@ vars[[j + 1 ;; -1]], {j, 1, 3 - 1}], 1 vec1 = {1, 2, 3}; vec2 = {1, 2, 3}; Minimize[{Total@((vec1[[#]] - vec2[[u[#]]])^2 & /@ Range[1, 3]), cons}, vars, Integers] The error I get: Part::pkspec1: The expression u[1] cannot be used as a part specification. >> Answer Ok, it seems that one can get around Mathematica trying to evaluate vec2[[u[1]]] too early by using the function Indexed[vec2,u[1]] . The working MWE would then look like the following: vars = u@# & /@ Range[3]; cons = Flatten@{ Table[(u[j] != #) & /@ vars[[j + 1 ;; -1]], {j, 1, 3 - 1}], 1 vec1 = {1, 2, 3}; vec2 = {1, 2, 3}; NMinimize[ {Total@((vec1[[#]] - Indexed[vec2, u[#]])^2 & /@ R...