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Enhanced Graphs and Networks
Image Synthesis
Composite images are synthesized from existing photographs. Determine the optimal patch region between the input and output texture using edge cuts.
In[2]:=
X
indexFunc[s_, w_] := {Quotient[s, w, 1] + 1, Mod[s, w, 1]};
In[3]:=
X
edgeWeight[_[s_, t_], data_, w_] := Block[{sindex, tindex}, sindex = indexFunc[s, w]; tindex = indexFunc[t, w]; Norm[Extract[data, sindex]] + Norm[Extract[data, tindex]] ];
In[4]:=
X
weightImageGraph[hut_, mountain_] := Block[{g, dimx, dimy, data, elist, vcount, eweights}, {dimx, dimy} = ImageDimensions[mountain]; g = GridGraph[{dimx, dimy}]; elist = EdgeList[g]; vcount = VertexCount[g]; data = ImageData[hut][[;; dimy]] - ImageData[mountain]; eweights = edgeWeight[#, data, dimx] & /@ elist; Graph[Join[Table[UndirectedEdge["s", i], {i, 1, dimx}], elist, Table[UndirectedEdge[vcount - i, "t"], {i, 0, dimx - 1}]], EdgeCapacity -> (Join[#, eweights, #] &[ Table[Total[eweights], {dimx}]])] ];
In[7]:=
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synthesis[hut_, mountain_, edgecut_, graph_] := Block[{dimx, dimy, comp, newpart, mountaindata, hutdata}, {dimx, dimy} = ImageDimensions[mountain]; mountaindata = ImageData[hut]; hutdata = ImageData[mountain]; comp = Select[ConnectedComponents[EdgeDelete[graph, edgecut]], MemberQ[#, "s"] &] // First; newpart = indexFunc[#, dimx] & /@ DeleteCases[comp, "s"]; ReplacePart[ mountaindata, ({#1, #2} -> hutdata[[#1, #2]]) & @@@ newpart] ]
Input images.
In[1]:=
X
mountain = \!\(\* GraphicsBox[ TagBox[RasterBox[CompressedData[" 1:eJx0vAV4VFfbr/+d8z/n+t63Le4W3F1q1CiU0lKgQAJxd3cj7iHu7u6ZuMvE 3W3iNskkk2TcZf+fPQMp7Xu+67pZ19ojSSD73r/nWWsPp9WMX2v97//6r/8y /xcMr1WtfzYzU7WV/D9w8NDWQlPt/4OJM/y59r/+67/QeWA5K7CMHlpBi6tl ZLVxywaRximkbRZpn+Z1zgp654WDi8KRZeHEqnB2HVnYQuaJAmBhQwjj3Dp/ eo07ucrGrbDGl5FxvIgVwcQyF7fCgadmifzZTWR2C5nZQsbXkb4FpHEUKWnn 5DYyPMp5dhimbhbpbdLqbzHLj2LWfo0jPU9kPI+iycSw1VMQwyxEPxvRSGep ZtDVcpgO2XTnPIZHIcu3iO1fzA4qoocWUyOKKfEV9KRKenIVI7mallZNT69h pNezMhs5ufXsAiyvtJVX2Smo7RE09vGwfVxsHxvGum52ZSerrJ1T3MYrbBFk N3AyatlZzdy0BmZ6AzunBSloQ/JbkfwmlJx6XkYNPb1qK7OWWIDdqOgmd0wj Y+vIMgVZoSFEFkLmopBYyAYdWaMhMyusGYJweh3BrSGDS0jHDNI0gTSMIh5V iG4S7XePmft241/aTd1xWLzruvaVF/lL1/UnwXT5eJ5uCscmi+uJ4QaUcAIK qR75VM8Cmnch/X0B1S+fHFRICi8ix5RSEirIKZWUtBpSRu1WZt1WdsNWXhOl oIVW1bRW07JZ20Gu72bU97JretiVXeyKTlZtH7+mj1Pby8EO8NqGBW0jvKY+ en3HRlUXo7KTXtJCzq1dTypejM6fjy7ARxdtxlWywktZjqlrKj4jL+w7Xzj1 SL0flw2Y/dl55p7l8BWDrstGvZeMBk7r9kpo90ro9h/W7D2i1XdUu/+YzoCY 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Build a weighted graph from the images.
In[5]:=
X
graph = weightImageGraph[hut, mountain];
Compute edge cuts.
In[6]:=
X
edgecut = FindEdgeCut[graph, "s", "t"];
Synthesized image.
In[8]:=
X
newdata = synthesis[hut, mountain, edgecut, graph];
In[9]:=
X
Image[newdata, ColorSpace -> "RGB"]
Out[9]=