Mu ltip rocessor Iso-surface Volume Reudering

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Firsl, all explanation is given on how ray propagntiou works in parallel view. I lI' ('o n ll ~ ilion' co m plex a nd the difference will be explained later. In ' ....rs l"'d ivl, vie-w tlu 6. 1. P a ralle l v iew Recording if ally rays are coming into R cube is a st ra ight forward PTOCI"SS . Unfo rtuna tely it sti ll It':wt'l< us \' cubes WI" han' to check. as each cu bo with a non-zero incomin g ray-count make t hree other cubes ha ve ;, incoming ray-count. \re can also be more precise th an t his by using a mat rix. T he rnnt.rix is called th .. pr matrix and it gives l,he relative overlap between t he front side s urfaces all d 1.1,1' har-kslde <strong>surface</strong>s. It ca n a h HS a matrix which ~ i n'S t he probability t hat a ray exits 0 11 a sur face, giw 'lL that. it ('1I1 ('f5 0 11 anot he r sur ra T he propagation mat rlx is derived from the vis ualizat ion matri x .tt (gin'll ill equat iou 2) , T his vis mat,rlx A f trans form s a cocmliuat e from t he d " I,1.1.. point.. If we han' visuallza t.iou nuu.ri x ,\.1, WI' call find the prop aga t io n mat rix P , To dn thi ~ wr- lirstlilld ti ll' f po int of 11 ("(,II. T his ('aIL be done by locking a t.he bottom row of . \,,1. \rf' cal l t his front ruost. point, ;·;1 vector is i'i by definition. " '(' wo rk ill a ti m"!' dimensio nal system, which means WI' will han:, ,.. ill;ltl pOillls rJ n·11. "'p find c\ by l aking rl' a nd change dimension 0 , In a simil a r way WI' find i'i am i '":1. All tlu- ot her II a re linea r n unbinations of t hese vecto rs. T his aut.'JllIfltically leads to l:r !Jt'illg t.he I»u-k most poi nl . This i~ figllrE'i . ] .. 0 ......../ .... , / ~ " '4 To find t ill' actual mn t rix P \\"(' do: 7 '4 / , " 11 if ,) ~ ~j > () and
~ - I, 1" ) Jf..: fIt:'I " ", {", I~ ( ', xc. I IH-" I ' , A'~ Ct e ' l !!i'; /:-t.ll 1 1 [ 1: c: , (".. l i..t ~ I C , ,, ( ~. I c, G~ • ( ', I , - "" " I ,. ", II ~ . " P I " ,",I ill ,,,' . · I l l'" rav ('''' 11 11 (Ill rlw h ad.; .~j , l ~ .~ Il l · fm-"" as gi\'( '1] i ll t >i jllal ion :! ~ . [II t his ' ''llIal i''l " llIillg rnv (',,111 ,1 ;!lI d Ii is thr- otJl.g o i ll).!, rav "0 11111. I III' rh rec O llll pOlJ enl s "I' (J a re 1110' 11 add,..! to t lu· inn " )!lul " f tln - 1 11"' -' - l)1",e::; fIlay t1WII I... s k i p p (~l ill ,',
Page 1 and 2: M u ltip rocesso r Iso-surfa ce Vol
Page 3 and 4: 2. C HO OS IN G T ilE IIA llOW A H
Page 5 and 6: il fa mily of lI it af h i. unfort
Page 7 and 8: ) i s t ri h llt i ll ~ t111 ~ wnd
Page 9: • • • • • . e \ \, \ \ \
Page 13: l'iKllre 9. T he inte r jor uf e Tl

Mu ltip rocessor Iso-surface Volume Reudering

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