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gluLookAt - ?ӥ塼???????Ѵ???????????

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void gluLookAt( GLdouble eyeX,

	GLdouble eyeY,
	GLdouble eyeZ,
	GLdouble centerX,
	GLdouble centerY,
	GLdouble centerZ,
	GLdouble upX,
	GLdouble upY,
	GLdouble upZ )

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eyeX, eyeY, eyeZ

?????ΰ??֤????ꤹ?롣

centerX, centerY, centerZ

???????ΰ??֤????ꤹ?롣

upX, upY, upZ

up ?٥??ȥ????????????ꤹ?롣

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gluLookAt ?ϻ??????????????濴?򼨤????????? UP ?٥??ȥ뤫???ӥ塼???󥰹????????롣

???ι????ϻ??????? z ????(??ɸ???????ϰ?)?˥ޥåפ??? ???????????˥ޥåפ??롣 ???????äơ????̤μͱƹ??󤬻Ȥ????Ƥ????Ȥ??ϡ????????? ?濴?ϥӥ塼?ݡ??Ȥ??濴?˥ޥåפ????롣 Ʊ?ͤˡ??ӥ塼??????ʿ?̾??????Ƥ????? UP ?٥??ȥ뤬?????????ϡ? y ????(??ɸ???????ϰ?)?˥ޥåפ????롣 ???κݤ??????ϡ??ӥ塼?ݡ??????Ǿ????????褦?ˤ????롣 UP ?٥??ȥ??ϡ??????Ȼ??????????ֻ?????ʿ?ԤˤʤäƤϤʤ??ʤ???

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$F=\left(\begin{array}{ccc}\mathrm{centerX}& -& \mathrm{eyeX}\\ \mathrm{centerY}& -& \mathrm{eyeY}\\ \mathrm{centerZ}& -& \mathrm{eyeZ}\end{array}\right).P?Ȥ???$

$(\mathrm{upX},\mathrm{upY},\mathrm{upZ})$ . UP ???٥??ȥ? $(\mathrm{upX},\mathrm{upY},\mathrm{upZ})$ ?Ȥ??롣

???ξ??硢???????ϼ??Τ褦?ˤʤ?????: $f=\frac{F}{||F||}$

${\mathrm{UP}}^{\prime }=\frac{\mathrm{UP}}{||\mathrm{UP}||}$

$s=f\times {\mathrm{UP}}^{\prime }$ , and $u=s\times f$ . ?Ǹ??ˡ? $s=f\times {\mathrm{UP}}^{\prime }$ , $u=s\times f$ ?Ȥ??롣

?????? M ?ϼ??Τ褦???Ȥ?Ω?Ƥ?????: $M=\left(\begin{array}{cccc}s\left[0\right]& s\left[1\right]& s\left[2\right]& 0\\ u\left[0\right]& u\left[1\right]& u\left[2\right]& 0\\ -f\left[0\right]& -f\left[1\right]& -f\left[2\right]& 0\\ 0& 0& 0& 1\end{array}\right)$

?ޤ???gluLookAt ?? glMultMatrixf(M); glTranslated (-eyex, -eyey, -eyez);

???????Ǥ??롣

??Ϣ????¶

glFrustum, gluPerspective