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I saved the following graph from Mathematica

enter image description here

The graph is very smudgy and it looks very bad when I embedded it in the TeX file. What are more efficient ways to neatly present graphical outputs from Mathematica in TeX etc.

I can provide the codes required to generate the graphs on request.

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    $\begingroup$ "The graph is very smudgy" - how exactly did you save the picture and transfer it to your $\TeX$ document? $\endgroup$ – J. M.'s technical difficulties♦ Aug 8 '16 at 9:06
  • $\begingroup$ Relevant: 1542 $\endgroup$ – e.doroskevic Aug 8 '16 at 9:09
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    $\begingroup$ jpeg is a lossy format, it is better to export in a lossless format like png if you specifically want to export in image format. $\endgroup$ – Feyre Aug 8 '16 at 9:14
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    $\begingroup$ I often do this for journal publications. The journal requirement is eps format. The eps created by Mma is, however, not the same as the standard one. For this reason I save the image in pdf format and then with the CorelDraw convert the pdf into eps. The result is the image quality good enough for Physical Review. $\endgroup$ – Alexei Boulbitch Aug 8 '16 at 9:29
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    $\begingroup$ @JunaidAftab try Gimp (which is free) to convert the PDF to EPS ... lakewoodsound.com/misc/pdf2eps-gimp.pdf $\endgroup$ – Young Aug 8 '16 at 13:09
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The default value of CompressionLevel is 0.25. Decreasing this will help to give better jpegs. The other thing you can do is to set the ImageSize larger.

Try: 

Export[NotebookDirectory[] <> "exportTrial.jpg",  **YOUR_DATA**, "JPG", "CompressionLevel"->0]

From a similar question: Quality control when exporting graphics into JPG

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