If that was true, the image would look like this:
The above is what a 2D map of a human head looks like for use in a 3D computer graphics program.
The 2D image above is virtually wrapped around the head model. This is also called a "normal map," as the map lays tangent to the terrain surface.
Obviously, this image differs from the image on the Shroud.
What's intriguing about the Shroud is that the 2D "terrain map" on the Shroud seems to indicate that some form of energy, emanating in parallel from the body, "scorched" the image into the cloth that was most likely laid out flat, above the prone body, and parallel to the body.
For a 3D artist like me, it's absolutely fascinating. 3D terrain maps don't "just happen" in nature.
Wrong. The Shroud was not a total wrapping around a body. It is 14.3 ft long × 3.7 ft wide. The body was lain on it with the head at the approximate middle. The rest of the Shroud was then laid on top from the head down. It did not totally enclose the body...making the graphics you posted somewhat in accurate.