What is Mapping: Definition and 404 Discussions

Texture mapping is a method for defining high frequency detail, surface texture, or color information on a computer-generated graphic or 3D model. The original technique was pioneered by Edwin Catmull in 1974.Texture mapping originally referred to diffuse mapping, a method that simply mapped pixels from a texture to a 3D surface ("wrapping" the image around the object). In recent decades, the advent of multi-pass rendering, multitexturing, mipmaps, and more complex mappings such as height mapping, bump mapping, normal mapping, displacement mapping, reflection mapping, specular mapping, occlusion mapping, and many other variations on the technique (controlled by a materials system) have made it possible to simulate near-photorealism in real time by vastly reducing the number of polygons and lighting calculations needed to construct a realistic and functional 3D scene.

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  1. B

    Surjective and bijective mapping

    Hi, can anyone tell me what a surjective mapping between Hilbertspaces is? That is: what does surjective mean? What about bijective? I mean what is special about a mapping if it is sujective or bijective?
  2. Z

    Where Can I Find a Simpler Proof of the Riemann Mapping Theorem?

    I'm looking for a proof of the Riemann mapping theorem. If I'm not mistaking, there are differnet proofs and the original proof is quite difficult. I'd appreciate any information on where I can/might find a less complicated proof of this theorem.
  3. M

    Prove: A mapping f:S->T is bijective if and only if it has an inverse?

    Can a mapping from f:S->T associate an element of s into several elements of T? Also, how do you prove: A mapping f:S->T is bijective if and only if it has an inverse?
  4. Monique

    Mapping the Internet: Visualizing the Web's Connections

    http://www.newscientist.com/news/news.jsp?id=ns99994434 This is what the internet looks like: http://www.newscientist.com/data/images/ns/9999/99994434F1.JPG
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