Consider two functions $s(x,y,z)$ and $t(x,y,z)$ that would map a texture image onto an ellypsoid with radii $a,b$ and $c($see below$)$ such that, for a given point $(x,y,z)$ on the surface, the

texture coordinates $s$ and $t$ will be given by these functions. Use the parametrization method described in the lecture slides to find these two functions, such that for example the texture

coordinates of the point $(a,0,0)$ on the ellypsoid are given by $(0,0\mathrm{.}5).$ What are then the texture coordinates associated with the point $(-a,0,0)?$

Hint: Think of the parametrization of an ellypsoid.

$(0,0\mathrm{.}5)$

$(0\mathrm{.}5,0\mathrm{.}5)$

$(-0\mathrm{.}5,0)$

$(0\mathrm{.}5,0)$

$(0,0)$

$(-0\mathrm{.}5,0\mathrm{.}5)$

$(0\mathrm{.}5,-0\mathrm{.}5)$