Suppoze a computce plogeam needed to an affine tran ofoemation to a complex theee-dimensional objeat madeupof 3000 ponts The teanofoemation i2 composed of 8 mathices Ccall them Mi th go fore each paint Cx.yı2) in the object lallowwing opeR.odction perfoemed apply the {M][Me][Mo] IMI][Ms] Each multiplication of a metrix fimed a column veetoR inuolues 16 melltiplication Cof ane numbee by another) B 12 additions, foe total of 28 aeithmetic opeeation .tock mueltiplis of a matlix timeo another matex inuolues 64 meiltiplicationo B 48 adlditions, foR a total of 112 aethmetic opeeations. CThere numbers as not made up 2r Randomy: theg ace facts about 4x4 matrir

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Suppose a computce plogeam
needed to
aepply
an affine tRan ofoRmation to a lomplex
theee-dimensional objeat madeupof 3000
painda The teanofoemation io composed of 8
mathices Ccall them Mi theacgh M8)
ge fore each paint Ca,4,2) in the object,
the folloubing operation
yız)in
n
peafoemed
[M][Mz][Ms].
IMI] [Me]
Each meultiplication of a matrix
column veetoe inuolues 16 mlltiplication Cof
ane numbea by anathee) B 12 additions, foe
total of 28 aeithmetic opeeation toch multiplica
fimes a
of a mateix timeo another matex inuolues 64
meeltiplications B48 additions, foR a tota of
112 aRithmetic opeeations. CThere nunnbers au
not made up on Chosen Randam
nyithey
are
facks about 4xG mateix multiplication,)
Transcribed Image Text:Suppose a computce plogeam needed to aepply an affine tRan ofoRmation to a lomplex theee-dimensional objeat madeupof 3000 painda The teanofoemation io composed of 8 mathices Ccall them Mi theacgh M8) ge fore each paint Ca,4,2) in the object, the folloubing operation yız)in n peafoemed [M][Mz][Ms]. IMI] [Me] Each meultiplication of a matrix column veetoe inuolues 16 mlltiplication Cof ane numbea by anathee) B 12 additions, foe total of 28 aeithmetic opeeation toch multiplica fimes a of a mateix timeo another matex inuolues 64 meeltiplications B48 additions, foR a tota of 112 aRithmetic opeeations. CThere nunnbers au not made up on Chosen Randam nyithey are facks about 4xG mateix multiplication,)
A mORe efficient method woould be to staat
by the
by thet
the list
t, fiest multiplying
the
eight
on
column veetor, Me by thet
then multipying
Resuit, $
20n.pRoceedding along
feom Right
pi
eight
to left.
How ma
asithmetic opeRations
cwould this
eequile foe A0onoleeming
doeming
ore point
one
Ans:
How many
would it pequiee in total foe
all3000
12ansform
Ana:
poinIs?
woing
what pence ge of the time of the peevious
this method would therefoee Jave nao
of the tine of the pRevious
method?
Ano:
Transcribed Image Text:A mORe efficient method woould be to staat by the by thet the list t, fiest multiplying the eight on column veetor, Me by thet then multipying Resuit, $ 20n.pRoceedding along feom Right pi eight to left. How ma asithmetic opeRations cwould this eequile foe A0onoleeming doeming ore point one Ans: How many would it pequiee in total foe all3000 12ansform Ana: poinIs? woing what pence ge of the time of the peevious this method would therefoee Jave nao of the tine of the pRevious method? Ano:
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