25.12.2013 Views

Mu ltip rocessor Iso-surface Volume Reudering

Mu ltip rocessor Iso-surface Volume Reudering

Mu ltip rocessor Iso-surface Volume Reudering

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

Firsl, all explanation is given on how ray propagntiou works in parallel view.<br />

I lI' ('o n ll ~ ilion' co m plex a nd the difference will be explained later.<br />

In ' ....rs l"'d ivl, vie-w tlu<br />

6. 1. P a ralle l v iew<br />

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 \'<br />

cubes WI" han' to check. as each cu bo with a non-zero incomin g ray-count make t hree other cubes ha ve ;,<br />

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<br />

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<br />

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<br />

T he propagation mat rlx is derived from the vis ualizat ion matri x .tt (gin'll ill equat iou 2) , T his vis<br />

mat,rlx A f trans form s a cocmliuat e from t he d " I,1.1.. point..<br />

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<br />

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<br />

vector is i'i by definition. " '(' wo rk ill a ti m"!' dimensio nal system, which means WI' will han:, ,.. ill;ltl pOillls rJ<br />

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<br />

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~<br />

figllrE'i .<br />

]<br />

..<br />

0 ......../ ....<br />

, /<br />

~<br />

"<br />

'4<br />

To find t ill' actual mn t rix P \\"(' do:<br />

7<br />

'4<br />

/<br />

, " 11<br />

if ,) ~ ~j > () and

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!