| OCR Text |
Show 57 this ause which the practice work to can devise to lacks function the how possible algorithm algorithm any In still is It more omniscient behave will probably described as functions usually encountered Two Bivariate Functions other numerically is equations in two of use this of function (in component of of again the technique is derived would and for for bivariate two non-linear values of (u ,v) the would silhouette Y be position the of each functions. F(u,v) F(uo,vo) + (u-uo)FU(Uo,vo) + (v-vo)Fv(uo,vo) G(u,v) G(uo,vo) + (u-uo)Gu(uo,vo) + (v-vo)Gv(uo,vo) Setting these expressions to F UI = VI = Uo Gv - Fv solving G - FuGv FuG Vo and zero - - FvGu F Gu - FuGv - FvGu for Z solution function Taylor expansion order solve to typical example be G(u,v) formula first The tracking the surface. a sometimes. need parameter the by of sufficinent Given to normal sense, knowledge fail we G(u,v)=O. coordinates) screen the the some can drawing pictures. case F(u,v) case, iteration The is and that In edges. F(u,v)=O is problem. find unknowns, both that such bivariate the in important equally In some algorithm which cases incorrectly. the The special u and v |
