cg3_2013 - Transformations Computer Graphics Taku Komura...

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<Transformations )(*(RPSXWHU ,.,,UFSKLHV 999FNX 2000RPXUF
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;Setting 7bjects in the ;Scene ƶ 444QHH WKH PRGHOV FUH SUHSFUHG° ZH QHHG WR SOFHH WKHP LQ WKH HQYLURQPHQW ƶ <<<H QHHG WR NQRZ WKH YHUWH[ ORHFWLRQV RI WKH RGMHHWV LQ WKH ZRUOG HRRUGLQFWH V\VWHP ƶ (')'XW RGMHHWV FUH RQO\ GHILQHG LQ WKHLU RZQ ORHFO HRRUGLQFWH V\VWHP
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<Transformations <<<H WUFQVOFWH° URWFWH FQG VHFOH WKH YHUWLHHV LQ WKH ZRUOG HRRUGLQFWH V\VWHP
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7verview ‷-/--RPRJHQHRXV WUFQVIRUPFWLRQ ‷(')'FHNJURXQG ‷)(*(RQYHUVLRQ RI HRRUGLQFWHV ‷±*)+))° ²*)+)) HFVHV ‷)(*(FPHUF WUFQVIRUPFWLRQ
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--0omogenous <Transformation ‷(')'FHNJURXQG ‷)(*(RQYHUVLRQ RI HRRUGLQFWHV ‷±*)+))° ²*)+)) HFVHV
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(''*ackground of --0omogeneous <Transformation 999UFQVOFWLRQ
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(''*ackground of --0omogeneous ;Scaling
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(''*ackground of --0omogeneous
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(''*ackground of --0omogeneous
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;Subsequently applying transformations%$$' ‷<<<H HFQ FSSO\ WKH FGRYH PHQWLRQHG WUFQVIRUPFWLRQV WR WUFQVOFWH° VHFOH FQG URWFWH WKH RGMHHW YHUWLHHV ‷<<<KFW LI ZH ZFQW F HRPGLQFWLRQ RI VXHK RSHUFWLRQV%$&$
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;Subsequently applying transformations
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;Subsequently applying transformations ±°² ‷4222FWUL[ RSHUFWLRQV FUH QRW HRPPXWFWLYH ‷'&(&(')' ± (')''&(&
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:Rotation³ <Translation 999KH PFWUL[ RI URWFWLRQ FQG WKHQ WUFQVOFWLRQ LV RIWHQ XVHG VR LW PF\ GH ZRUWK WR UHPHPGHU LW³
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