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MODELIMI I DRURIT DUKE U BAZUAR
NE NDERTHURRJEN E LOBEVE
Argjend Haxhiu
Hyrje
• Druret paraqesin kompleksitet
 Deget, Gjethet, Deget e vogla..
• Nevojshmeria per paraqitjen reale
te tyre
• Paraqitja me ane te nje vargu te
fotografive
Logjika
• Paraqitja e bazuar ne lobe.
– detajet e drurit mund te paraqiten si pjese
gjeometrike kanonike, te cilat kane forma te
jashtme te quajtura lobe.
• Pikepamja nga bota reale e drurit ne menyre
te mbledhjes te dhenave per llojin e drurit.
• Perdorimi I informatave per llojet e drureve
ne menyre qe te vendosen parametrat e
modelit
• Nderitmi I drurit ne kohen e duhur duke
perdorur modelin.
Veshtrime
o Modelimi I drurit ka gezuar vemendje viteve
te fundit
– prusinkiewicz and lindenmayer
– reeves and blau
– Deussen and Lintermann
Paraqitja e bazuar ne lobe
• Te dhenat per drurit kane formen
e nje grumbulli te pikave
• Ekzistimi i nje modeli I cili duhet te
jete 3D
• Definimi i struktures skeletale
• Gjeometria e lobeve
Struktura Skeletale
• Lidhja e pikave fqinje
• Pesha e nje skaji caktohet me ane te
||u-v||β
• Vlera me e madhe e β krijon nje
paraqitje me kompakte te struktures se
drurit
• Diametri per nyjen (u) ne dru llogaritet
me ane te
d(u) = droot
rootl
ul )(
Gjeometria e lobeve
• Pas disa pikave te caktuara, distanca
ndermjet pikave e jep si rezultat
diametrin e deges.
• Probabiliteti qe keto pikat ti takojne te
njejtes dege eshte shume e vogel
• Pikat e mbetura kur gjenerohet njeri
prej skajeve, jane te bashkuara ne nje
bashkesi, ku kjo bashkesi me keto pika
te lidhura e paraqet lob-in.
Gjeometria e lobeve
• Per te kontrolluar madhesine dhe sasine e
lob-it e prezantojme parametrin e ri fs .
)()(,
udfud s
• Per te krijuar siperfaqen e lobeve perdoret α-
forma te cilat jane zgjerime te ligjeve te Hullit
mbi konveksitetin
Ndertimi i modeleve
• Per secilin lloje te drurit, perfshihen nje bashkesi e
degeve te vogla te cilat permbajne disa pika fillestare
dhe drejtime.
• Nderrthurja e lobeve nga fara kryhet me ane te dy iteracioneve: duke
zgjedhur keto dege te vogla, dhe duke I montuar ato.
Montrimi I ketyre degeve te vogla ne nje pike fillestare llogaritet me ane te :
)(
),min(
),max(
dr
dr
dr
vv
trashesiatrashesia
trashesiatrashesia
d
Klasifikimi i Drurit
• Klasifikimi i drurit fillon duke i mbledh te
dhenat e paperpunuara
• Per çdo dru llogariten rreth 200 veçori
• Perdorimi i klasifikimit Joint Boost
• Ku si rezultat fitohet nje
vektore i gjases per cdo lloje
druri.
• Kur kjo gjase eshte e lart
atehere finalizohet klasifikimi.
Rezultatet
Rezultatet
• Perdorimi i librarise X-Frog
• 60 kb / 56 mb
• 45 kb/ 47 mb
Konkluzionet
• Metoda na mundeson te paraqesim
drunje me strukture komplekse per kohe
duhur.
• Kjo metode poashtu zvoglon hapesiren e
nevojshme te memories per te paraqitur
nje model te drurit.
• Aspektet ne te cilat mund te zgjerohet
kjo metode eshte te editimi dhe
animimi.
FALEMINDERIT !

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Modelimi i drurit duke u bazuar ne nderthurrjen e lobeve

  • 1. MODELIMI I DRURIT DUKE U BAZUAR NE NDERTHURRJEN E LOBEVE Argjend Haxhiu
  • 2. Hyrje • Druret paraqesin kompleksitet  Deget, Gjethet, Deget e vogla.. • Nevojshmeria per paraqitjen reale te tyre • Paraqitja me ane te nje vargu te fotografive
  • 3. Logjika • Paraqitja e bazuar ne lobe. – detajet e drurit mund te paraqiten si pjese gjeometrike kanonike, te cilat kane forma te jashtme te quajtura lobe. • Pikepamja nga bota reale e drurit ne menyre te mbledhjes te dhenave per llojin e drurit. • Perdorimi I informatave per llojet e drureve ne menyre qe te vendosen parametrat e modelit • Nderitmi I drurit ne kohen e duhur duke perdorur modelin.
  • 4.
  • 5. Veshtrime o Modelimi I drurit ka gezuar vemendje viteve te fundit – prusinkiewicz and lindenmayer – reeves and blau – Deussen and Lintermann
  • 6.
  • 7. Paraqitja e bazuar ne lobe • Te dhenat per drurit kane formen e nje grumbulli te pikave • Ekzistimi i nje modeli I cili duhet te jete 3D • Definimi i struktures skeletale • Gjeometria e lobeve
  • 8. Struktura Skeletale • Lidhja e pikave fqinje • Pesha e nje skaji caktohet me ane te ||u-v||β • Vlera me e madhe e β krijon nje paraqitje me kompakte te struktures se drurit • Diametri per nyjen (u) ne dru llogaritet me ane te d(u) = droot rootl ul )(
  • 9. Gjeometria e lobeve • Pas disa pikave te caktuara, distanca ndermjet pikave e jep si rezultat diametrin e deges. • Probabiliteti qe keto pikat ti takojne te njejtes dege eshte shume e vogel • Pikat e mbetura kur gjenerohet njeri prej skajeve, jane te bashkuara ne nje bashkesi, ku kjo bashkesi me keto pika te lidhura e paraqet lob-in.
  • 10. Gjeometria e lobeve • Per te kontrolluar madhesine dhe sasine e lob-it e prezantojme parametrin e ri fs . )()(, udfud s • Per te krijuar siperfaqen e lobeve perdoret α- forma te cilat jane zgjerime te ligjeve te Hullit mbi konveksitetin
  • 11. Ndertimi i modeleve • Per secilin lloje te drurit, perfshihen nje bashkesi e degeve te vogla te cilat permbajne disa pika fillestare dhe drejtime. • Nderrthurja e lobeve nga fara kryhet me ane te dy iteracioneve: duke zgjedhur keto dege te vogla, dhe duke I montuar ato. Montrimi I ketyre degeve te vogla ne nje pike fillestare llogaritet me ane te : )( ),min( ),max( dr dr dr vv trashesiatrashesia trashesiatrashesia d
  • 12.
  • 13. Klasifikimi i Drurit • Klasifikimi i drurit fillon duke i mbledh te dhenat e paperpunuara • Per çdo dru llogariten rreth 200 veçori • Perdorimi i klasifikimit Joint Boost • Ku si rezultat fitohet nje vektore i gjases per cdo lloje druri. • Kur kjo gjase eshte e lart atehere finalizohet klasifikimi.
  • 14.
  • 16. Rezultatet • Perdorimi i librarise X-Frog • 60 kb / 56 mb • 45 kb/ 47 mb
  • 17. Konkluzionet • Metoda na mundeson te paraqesim drunje me strukture komplekse per kohe duhur. • Kjo metode poashtu zvoglon hapesiren e nevojshme te memories per te paraqitur nje model te drurit. • Aspektet ne te cilat mund te zgjerohet kjo metode eshte te editimi dhe animimi.