I'm looking for English word which describes the photo of head facing sideways relative to camera.
For example in this mugshot:
The right photo is portrait, what would you call the left one? In my native language it's called "profile". But if I say profile photo, people will think Facebook profile photo.
The photo on the left is a "profile", "profile view", or a photo taken "in profile".
And yes, online "profiles" do confuse the issue. OTOH, it's a nice look at language evolution if you think about how an online "profile" is a quick "outline" of the person.
The outline of a profile (the black-paper-on-white-background pieces you sometimes see) is called a silhouette.
Alternatively, in 3D modeling, this view might be called a left or right orthographic view, indicating it is one perspective on the 3D plane.
Firstly, they are both portraits:
A painting, drawing, photograph, or engraving of a person, especially one depicting only the face or head and shoulders
http://www.oxforddictionaries.com/definition/english/portrait
The position of the head relative to the camera is irrelevant.
The one on the left is:
a portrait in profile.
http://www.oxforddictionaries.com/definition/english/in-profile?q=in+profile
The one on the right I would call:
a front-on portrait
It is called "profile" as well. See, for example http://www.merriam-webster.com/dictionary/profile . It comes from the practice of creating outlines by projecting the shadow of the figure and tracing the outline on the paper, and in majority of cases the figure was positioned so that the nose, lips, forehead were visible. See https://en.wikipedia.org/wiki/Silhouette or search for "silhouette art profile".
You can also call it "side shot" or "side view".
The first one is called "profile shot" or "side-view shot" It's usually taken to get a clear look of your jawline/nose/etc.
You can learn more about different types of shots on Serif.com.
