A polygonal mesh is made up of faces, edges and vertices which then helps to create a 3D object.
The process includes having to first start with a primitive object like a cube then editing and modifying it to create complex shapes using tools that have been automatically installed into the 3D programmes that you are using but still keeps the polygon mesh intact but it just adds more into it, a good example for a 3D programme is Blender which I have personally used before. Polygonal modelling is quite a popular technique because its one of the simplest techniques out of a few of the other techniques but like others models made this way can also be rendered so that it is able to be put into a game.
Links:
http://unit66gj.blogspot.co.uk/2014/01/ha4-task-4-mesh-construction.html
Primitive Modelling
Primitive Modelling uses basic primitive shapes like a cube, a pyramid, a sphere, a cylinder, a cone and a torus or a doughnut. In blender these shapes are already pre-made but if you like a challenge you can also manually create these. Like polygonal modelling it is one of the most popular techniques to be used because it is much easier to already start with something than start from scratch but there is also a downside because using these primitive shapes you start with more polygons than usual so by editing and modifying it more and more the more that your poly count will increase which will also increase the memory it will take.Links:
http://southerngfx.co.uk/wp-content/uploads/2010/11/primitives.pngBox Modelling
Just like primitive modelling, box modelling also uses primitive shapes to construct the 3D objects needed. Box modelling basically uses the same process as primitive modelling which is to use extrude, scale and subdivided which are tools already provided withing the 3D programme like Blender so that the user may be able to create more surfaces on the object that they are modifying. Box modelling only ever uses one primitive shape but then from that be able to create other kinds of complex shapes like a human head.
Links:
http://theorangeduck.com/page/subdivision-modelling
Extrusion
Extrusion allows you to select a face and then extrude it which
will then create new faces, edges and vertices.
Subdivision
Subdivision like the name suggests allows you to subdivide a primitive
shape which allows you to create multiple edges, faces and vertices
depending on how many times you subdivide it.
Scaling
Scaling allows you to change the size of your selected shape or
edge as the image below shows which are the subdivisions that
I made from the previous image which i scaled down.
3D Scanners
3D scanning is more commonly used nowadays especially for games because the process allows you to scan an inanimate or living object which will then transmit to the system and it will result to a systematic 3D object of whatever it is the you scanned. 3D scanning I would say is very useful in creating realistic game characters like a good example would be FIFA 15 where they used a 3D scanner on the players so that the characters in the game that represented them would look very lifelike and look exactly like them.

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