18,700
edits
XML:OBAN: Difference between revisions
m
link fixes
m (correcting prev/next types in nav header) |
m (link fixes) |
||
| Line 103: | Line 103: | ||
;Transform matrices | ;Transform matrices | ||
:Like all matrices in Oni, they are composed of 3 vectors defining rotation/scaling/shearing and a 4th vector defining a translation. | :Like all matrices in Oni, they are composed of 3 vectors defining rotation/scaling/shearing and a 4th vector defining a translation. | ||
:In the above table, the 4 vectors are presented as rows per [[ | :In the above table, the 4 vectors are presented as rows per [[wikipedia:row-major_order|Direct3D convention]], although OpenGL and Oni use them as columns. | ||
:[[ | :[[wikipedia:Transformation_matrix#Affine_transformations|Affine transformations]] use a 4x4 matrix with 4 extra coefficients (in the presentation above, one would add one column on the right): | ||
::Three [[ | ::Three [[wikipedia:3D_projection|projection transform]] coefficients (all of them are zero here); one final coefficient (always 1.0 for an affine transform matrix). | ||
:Alternately, one can think of the 3x4 matrix as a 3x3 rotation/scaling matrix and a position vector: | :Alternately, one can think of the 3x4 matrix as a 3x3 rotation/scaling matrix and a position vector: | ||
::*Let X=(x, y, z) be the position of a vertex in the M3GM | ::*Let X=(x, y, z) be the position of a vertex in the M3GM | ||