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| Ron Goldman, "Deriving Linear Transformations in Three Dimensions," IEEE Computer Graphics and Applications, vol. 23, no. 3, pp. 66-71, May/June, 2003. | |||
| BibTex | x | ||
| @article{ 10.1109/MCG.2003.1198264, author = {Ron Goldman}, title = {Deriving Linear Transformations in Three Dimensions}, journal ={IEEE Computer Graphics and Applications}, volume = {23}, number = {3}, issn = {0272-1716}, year = {2003}, pages = {66-71}, doi = {http://doi.ieeecomputersociety.org/10.1109/MCG.2003.1198264}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, } | |||
| RefWorks Procite/RefMan/Endnote | x | ||
| TY - MGZN JO - IEEE Computer Graphics and Applications TI - Deriving Linear Transformations in Three Dimensions IS - 3 SN - 0272-1716 SP66 EP71 EPD - 66-71 A1 - Ron Goldman, PY - 2003 KW - rendering KW - illumination effects KW - radiosity KW - texture mapping KW - illumination model KW - lightmaps KW - ambient light KW - form factor KW - obscurance KW - production rendering VL - 23 JA - IEEE Computer Graphics and Applications ER - | |||
Elementary problems in 3D geometry can often be reduced to solving two simple simultaneous vector equations-one involving only the dot product and the other only the cross product-in one vector unknown. This article presents a general technique for solving such equations and then applies this method to derive explicit formulas for many of the linear transformations used in the standard 3D graphics pipeline.
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