8/18/2019 Homogenous Coordinates

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CDY]BW ]OZ]OPOFYDYBKFP DFI GKCKAOFK_P @KK]IBFDYOP<

Qo `df ohho`tbvony `kfiofso tgo dmkvo mdsb` cdtrbx trdfshkrcdtbkfs bf sbcpno oqdtf su`g ds<

Z‒ 3 C.Z + C=5 

C < Cdtrbx hkr cuntbpnb`dtbkf dfi s`dnbfa

C= < Cdtrbx hkr trdfsndtbkf

- 

Hkr kfny trdfsndtbkf usbfa dmkvo oqudtbkf wo gdvo tk dssbaf tgo C cdtrbx ds df bioftbty cdtrbx..

- 

Hkr kfny rktdtbkf usbfa dmkvo oqudtbkf wo gdvo tk dssbaf tgo cdtrbx C= ds funn cdtrbx..

- 

Ygus hrkc dmkvo `kfibtbkfs wo `df bf`ur tgdt hkr `drrybfa kut soquof`o kh trdfshkrcdtbkfs wo

gdvo tk dssbaf ibhhoroft vdnuos dfi tgo oqudtbkfs `gdfao ovory tbco..

- 

Ygus bf krior tk `kfiofso tgo dmkvo oqudtbkf dfi sbcpnbhy tgo dmkvo `dn`undtbkf wo `df uso tgo

0 my 0cdtrbx bfstodi kh tgo trdibtbkfdn = my = cdtrbx..

Ygbs dnnkws tk oxpross dnn tgo trdfshkrcdtbkfs bf d sbfano cdtrbx..

Yk roprosoft tgo (x,y) @drtosbdf `kkribfdtos bf 0 my 0 cdtrbx wo uso d gkckaofkus `kkribfdtos g b.o

(xg,yg,g)… 

Goro ,

W3℆

℆ 5

R 3℆

℆ 5

Qo `df bfput dfy fkfzork vdnuo kh g ..Goro bf =-I trdfshkrcdtbkfs wo `kfsbior g34..

Mut bf `ortdbf 0-I trdfshkrcdtbkfs tgbs g `df tdeo vdnuos ktgor tgdf 4..

Gkckaofkus `kkribfdtos dro tgo kfos wgb`g `df mo hd`tkroi kut kh tgo oqudtbkf ..tgbs bs tgo

iohbfbtbkf bf cdtgocdtb`s ..

_sbfa dmkvo 0my0 cdtrbx hkr trdfsndtbkf,

‽‽4

  3 U

4 : : 4 : : 4

  S*U

4

 S 5

]ktdtbkf

8/18/2019 Homogenous Coordinates

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‽‽4

  3 U

() ∝() :() () :

: : 4

  S*U

4

 S 5

P`dnbfa <

‽‽4

  3 U

: :: :: : 4

  S*U

4

 S 5