Video-Based Sensing for Wide Deployment of Sentient Spaces. Abstract

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1 * * + * % q o-bs s o W Dpy o pcs o L ó p D Ipñ L o oy o C ou c o s E, C vs y E D p C, K o l231@.c. c.u, Asc! " # $ pcs % $ pcp $! " ' v $ py ( sc l sp $ c ) s %! " us ) c! " ' vs % w ) c, $ p - u!. $ pov " * * sv " cs. Co! x 0 1.,! ", ) c $ pu * ou 2 3 wo 4 s o 1 % ss % s, " s +, u " ) c! o ), $ pu! " 2 v " ) cs %, 5 * * v ". o,,!! p $.! ) cu.. % s "! - uo os % v ' *, s % ) c % sq 6 u c,!. " qu! sv " ) cs 1 o us. 1 o! u l 7 ( y8, sso +. c 3 o 2 s % us " + x 0! c $ pu. 9 ( sp $ c " 7 l - u % s. c )! " ) - u % s - ully (! o x 0 $ ps % " ' v ), $ plx 0! * p $ y (, + 1 u - *, "!. 3 s s % $ p. v! * : w " * * $ po 1! 3 so + -c ll Cop $ u 2 $ p * " " u lv " o : wo 4 sp $ ) cs. ; W $ ps, < = > IP, vl v " % s " - 5 s sso.! uss! 3 ),! " 1 o 1 1 -! 3 -s 3 l 1 3 * w 9 ( v " * o c s % * PCs) * $ p! 5 l c ". ) cul.,. % s 1 " y ( " *! " 1 " ) c! " * + ) c! ". " % s, o v ' s s * v ' c ) " % s cc ), $ p * y ( % s o 1 $ p. 2, s %!. c! " s, " * * lw :. % sv ' cs,, # > I? F8,! 4! 3 * vl 7 $ p! o 1 s sy ( % s, s l p $ y (! ls % % s ) cu. so * s % " $ pocs % % s. A B I C D E F o G H u I c D J F o 1. K q L uo us Co pu [27] vsos pys cl spc s, suc s ocs o o s, u P w p v W c s, sl ssly o v W o, u P s vy y c v W s. I spo s o x o o pu P wc us s o wll o w y pu s c v s,.. p us wll v o us o s ly s s. Copu P [8] s o p o c o q L o s Cop l y. I s o c pc v lv s c s w ss c v W s c y sow s v W c s ov y v W c s vo. s vo s c v w ss o s o s ou ss os cp x l o o s s c o y o o c s o sou lv W l p u o py sc l spc. \ opu s yc o o vy y s sos w s c o o o p oso s (.. y us, o c u s o ysc l c o o p K l s o vcs ), o o ul p- o- c u o cu s o wol. As ss y suc ol, s sy s s o po svc o l o s s. I ssc, pu syss, y xs o, s c s w s s y s s s ll v W w ss so y c c v o p opl c v s c l c ou P. o l o c c c o o popl p s s s ow o v y us l cp K c l c y o vp o x j - w p l c c os. I c, os o cu P ly x c s c s p lc o s x j c c o c o x j [10 l ]. s x j l c s w y oos o sv W l po s o c s y s s v pp p ov c c c c y c o l y,.. c o oo -scl s o l o s c s c - s Ac c B [25], o o cu P 3D o c s o l o o y syss suc s ul s oc- s Ac c B [26 o ]. Al l s syss q L o l o s w c s o l oc o c lc o c s c s uq L c c, ul s ou o o c c o wo o s sos o w lls o l s o u P c l. A p L c! ". v po l ls lyss o c o o s sos s c v W c l l o pp l c os. Ds ov W us c l c y, x j c s o o c c o sy s s v s o o wc s. s y us o c y y o w o op. su P c q L,.. w o o s so s, s pl x x j sv o c sl l c c. s cos v l c p y o suc oso c syss o s c l K o o s. c s wo s s l v W c s c o- K s s s o c o y ow s IP

2 W \ v y y G x o Ÿ œ K o s -o w c l x c c l c y cc c y o c c o o c. ow v p o s s y s s s us lly c olv s, sc c c o s s s op c o o sv W l c s c l s, suc s wo o s so s, s, Loc c o \ v W os u os s su P l o sso p p c o. c s c c c o s s l s v l sc os u P ows cl x j - w p l c c c o s v W l op,.. sc - o c c c [2] o x j oo l wo [2 s 1]. \ I F wo c s ou pp oc o c l c s ssu. s wo c s o p v W c ous wo c o s s o oly o po v su l -l vl K s c c os o w c s c p l c c o po s s c s c s, u lso ys sp cl o o c s s o ss o. I c c o, IF c s upl w c so s s c l l w s vc s. sp c c l c s o s s v W c s c s Loc AL u E, l w suc o s lc o s o l o oj [ c s l cyc l o wo. c o s 2 3 x j p w IP o l oy s K u s y s s s uc u u c l o op o c. \ IF c s ov v W c w s o 4. c o 5 o s c s c p c o o u LocALE c lw s v W c. \ c c o 6 llus s s c l c y o w IP c oy o s c p c o o wo w IP- K l ppl c c os u c l w c ss c s c o IF - po c K s c c os u LocA u LE c lw. \ c c o { 7 o s c su y o so l s c. c o 8 s s so u P wo ws s o lus c os. 2. A IP: } ~ vs o F - } s F I c } D o F s s F o w IP ( c o s c I Po c ss) [12 s ][13] c s vso- K s s s o s y s s s c o o c s l s (2 s -D. " 2 ) c * s), s F c u P 1, v c o s o c y c o [ j cs l o vw. w l c ly w P c po ss pu vso c s ppl o v o s o o, c l-, c c ( = > IP + ) $ p s ( c c o o c c o ) o s w c o v c w c c s. w IP s c s y p vs l s so co y. Is 2-D p K l s (IP! 2 s) p s y c 1-3 v 13 (1, x 5 ƒ 94,3 v 23 v ). c s u K s c -cl oc ws o c s u c L qu sy c o s c o sc o, s c llu P s F c u 1. l y o - -s l w c s q L u : w - s oluo D c s po c s s ow o PC ] s. IP s w- s l s s c sp c c s K l o v W w- s s, s c s oos o oc s c o y, s o o c c o ss co l os. s s w c w K -c s c o c P s y c sl l w IP so w c o c vsu P l w ss o c c c s. A ul c c o l s o IP sow s l o vl K l soo ou P s c o p s s: : www-l... c. u. 1 2 ˆ Fu * I Œ P ps Ž 1,160, IP c o o po c ss v Ÿ -p y œ s Ÿ ž co s œ IP so w pl s o c v W s s pu w o s xc u s s o oc s s s s o o o o o IP o w IP s v W sp o. B w ov W v W w o s po c ss s v. Fo o ls o [13]. Fu P 2 pc s o l po c ss u y o l o. Fsly, o l s so o y ( oly l w s y lu P s) w c s s lv W l, y s o p v so l o ss. s s s IP vy o us o K l l o s sul v o w -q L l y CC ] o w c s. c o ly, xls w sy lu P s u o s p o ( s), y p ly op o. x, s o 1-px l w. Fouly, c c s o os ol w pou P o c c ls o o po c o s. o s s l o c s p s c v c s c l o s s llps s. u P s, s s oly s wo s s s l ly o llp c l sp p. I l c, llps o c u P s ppl o c, o llps p s s p o x po s. \ x ly, llp ss o s o c cy o o y IPc o s., p s s pp l s o ou s o s s 1 x 5. As o s s o s v l o v W y o cc. š 0 s yc ž œ s Ÿ ž co

3 ª «½ ½ y q Á À v ± W Ì w À Ì Ì ¾ À Á Â Ã Ä Å Æ Ç Å È 0: G F ½ ¾ À Á É Ã Ê Ë Ì Å Ë Í ¾ Ë Î 1: Bo ½ ¾ À Á Ï Ã Ð Ñ À Á Ò Á ¾ Á Ó ¾ Ë Î 2: E Dco ¾ À Á Ô Ã Ñ À Á Õ Ë Ì Ì Ë Ì 3: E F Û u 2. IPc Ü Ý o Þ c Ü Ý o o Ý A Ž Flly, o c pop s o ou P os llp c l o o u oj [ c v W o y volv l o s. so w F v 3. llps o ou P os cc ul o o s u P ll s -y s w IP pos xco v x c o po [ jc o o pol c ( ). o o o c l s pl, πµ, s o y o c so c sc c o o w l s c l, wc p s w pl c s p lll o l. s o c o c s s s o so o wo suc ss c o c os. s us -xs ou c o, l c s j x s w c j x s o l l c s; s o s wl y ou P o sys ou P u l l, π, s l l l o πµ. o c o o s ou P os c l ou - xs oo ol o s l, p ossl o v o vw o ccl v s sy y, c s o y s o o ou P os o IP s s ycos o sc o ( o y s ll ccl F 1). oj [ c v W o y v W olv s oc ss s ully s c [12]. pos xc o l o s o sl w o IP o o o l po s o o s c w o w c. I s s p u oc u s o llp cl o s o s o s y c o o l o. Fo c IPc o, s K ls s o, p $ 3 ( y o so o c -po [ j s llp c l ouo s o o, s s l, o s c l ccu P l o, o ow us, l. s o y w 13 y s s v o c o IPc o, o ows p ss s o s o s s. w IP s ssu o sc p s ow. I o wo s, s s qu c o u w l l- ow c c l c o [2 s 4] po c ss oc o c D c. Fou l y, sv W l lcly vl K l sow pc s o c l c o,.. [2 s 4]. po s x j c c o l o u s s l o c o ( x, y, ) o c o ls (α, β, γ) c c oy s o c o w c o c s y s c o sys. s o xp l os pop y, u qu o c s c c cl, c -p oj [ c u v s pl c qu P o s v W q L l c c c s ± 2 ² 2 o ². I c s s o P EF ³ CI w u LE sc c [5 x ]. ½ ¾ À Á Ã Ñ À Á Î Ö Ö Î Ë Ì À Ø Ë Ö ¾ Á Ë Ì 4: E Folw Fl ½ ¾ À Á Ú Ã À Á ¾ Á Ó Î À Ì Ë ¾ Ë Î 5-7: o 2. ¹ 3. IP º s o» p o o ¼ s IP s c p s c ocs s, sp o c c s o q L c l s o s s c l ocs s c, s c ll s l c l y c p oc ss s. v W l ss, IP s so wll o l ys s w o w IP s c ou, o l c l y, s w ppo j x c o o w IP c o l s o s l o c o c vous s. o, c c s v o p ov w IP s so w so ll o o c su P c s wo ss o

4 ê ì í í ý þ ÿ þ õ ê ì í í á õ æ ê ì í í ø ì ù ú y á þ õ y è K µ é π IAGE PLAE F u ç 3. PEF lys, lyss o CICLE o Ý y s, o w u P ll- p s so l w u P ll- ly ss y o v lc. plc o s po c ss so ul [ j s p l o s ll s s c s s y o oc o o spo svs s o su-w ow. s o v W sys o sc c s. o IP xu spos v W s s sll w IP s ' v 2 -, o o op c o s c y u s p o o ocs s u P l -o w v o IPc o s s. s s s o wy IP s s p v W v W o P v W u P o s sp c s y s s -up. u u s op o. ss o s s ou s c v W u o s o s o uc s 3 op os, 1 ul, sv " 7 l-, " 2 A ly ( % ss % s o s IP o s, p o c sc s o sc ps o u o c s. c s s vw. F 4 sows s w s w s c s sc v W IP s op o o s os o wc s occu wo y ul l l y s c s. Ev y so sw cs o o vou P o o o v W s o ul ly s s w -. s oluo vso o wly pu (.. o v y 3 c j xl s c o o c ä o l c l c c o s) s c xl w vou P sly lcu P l IP ss ls s u å o Av W ( å A) o co u s wou IP ss. A A [22] s o o osu P olv W î ï ð ñ ò ò ó î ï ð ñ ò ò ó IP ô ô co u, s s c l o sl l c o s c IP P ss o ê c û s ü s ý IP Po cû s ü s ý y DEFAL-DE AIG-DE llu P o, us v xl lu P s AIG-DE o pc c s. c s c s ou xp p c P o p c j x ls v W c y o IP c c s ol. I pc c s ull - c ss lys s s, ows IP s s o s s s wou o IP ss IP sl p. î ï ð ñ ò ò ó ô ss IP l- ", -o + * o o o s IP Po c ss ü o EAL-IE-DE y o o wo o s v y c w I P o s sp o w. s o xpl o c s s c l l y o w IP s c s cc ssv v o s. c s c w c c IP ss, su P sq L u s oly xp w ls s sll px l ˆ F u 4. ß IP á s s á o s op â ã o Þ s ã wo w o o vou P s w ws s. l ss, c o o I P 1 ul 7! -o + * o op o s c c p c ly c c c o o wly p w IP s, o s so s -up vy o u s o u u P ll po c ss s s ll ou q L uly, y u P ll- ly ss xps. s o u, s l u l s s o w c s spc o c v W y 5 s. s p s y s o o s p, l s sso sp s sv W o l- o s, π AGE PLA E

5 c #!. - w G ¼ ä l ¹ P P q «º «á IP po c c c u cy cu C+ + c l c o o I P c o c c o po c sss l 0 j x480 c x ls s p s o 800 H P u III. W c o c o o s s c o s c u P l o sly u, o c c v o s c c c s ou 12 s H. l - o po ss s c c v ou c vou P o w I P s s o s o c o. IP s c o s s s sl w ol o l sl o v c o s ls s { 70º occu P ps o l s 20x20 pxls. s s o o o 640x48 0 xls solu P o s s y w 3 s s c. os x c o o s v 3-D c o o o IP w o vw c w v W o o l ss v 3%. lo o ls osvs s l K l s o o y c us IP c o. 3A. IP: } G s D H u D F I c } D o F s s F o A v- K s s K cc u s v W s ou IP o o xp o s s o po v y s co y o s lc os. u P c o l y o IP sys,.. s o pos x c o, s cp sul w CBA [19 ƒ ] p o IP s. s po o s I pp-l c c K ls p lc c o s o c s c u? F ou -. ) c po s, s ppl y c s o c s s o uo u v W c o, o I P s s. A IP s y pul l c s o o o o F ou P c s. y E y pu P l l s w qu P c c. IP po c ss c sul s, y u P l, syco ou P sly u c v- o o B A o c c o v W c s C l [18] s s oc c w c c IP s. c s c l v v u c o po c o pls ly s s p ocs s sul o u c s. us, w IP o CP c sv s po c ss w s o c o C l po ls w s ppl c su s c o, l y l c l lvy o s su P s, l o o s sso w c u spo sv su s. A IP s s = > I Pv ' s, p s c psu P o -C++ c Fu 5, pp o uc! - u * E ' v s s yp supp o y BA o c c c o \ v W c [18]. uc u y Ev s c s o o ss s vy o o c c o C l. I o y o s s s s o v o s o -v lu p s o wc l op o s c p l. P s s c c w IP s s w c c o s sc c o s c l ps s s o s s ov W os -v W l p s o v, xps s Ex Co s L [16]. o c o C l p os v W l uc o o l o s p s c w IP s. H c c c l c c c os o IP P s s o c c o ls c o o su c c sc l K l sso o w IP s s ol. Fo x l l l o c o C ls s o o IP s s o o o l, c o o v c l l w ous o w IP w s w oo. suc IPs { s IP; y pso psellps ps; ull s-y s ou llps ps (x,y,,, θ) oul 2; Poso poso; (xpos, ypos, pos) vco o c o o }; suc IPv { us cid; p ; scs uscs sc 1170 IPsLs sls; }; Fu 5. I Œ Pv Ž Ž s A IP s ls o o s s ycoous v W o o c ( psf) y wc IPs pulls o souc pss s s l oc c o c o c. H, lc o s c c w IPs s ycoous o sy c oo s o IP Dcoy vc A IP D c oy v ( D) s c w c pup os o ul IP p ocs s s ls c pp c s w l -wo l o cs IP s. c s p o u s c c ul c s c o o w IP s ss c sp c clss c o c o c o s w c o y p c j x, s y o su s v l c s o. D \ o s w BA c c s o c o, o c o, l o c vl o o w IP s c c o s. oy o, sc s o -vlu P y c s s soc c o IPs l o o oy s spc c.

6 D ˆ ã Û o 5 5 Þ >? 1 < 5 Fu B 6ß. IP C Dc Ü Ž oy D vc s E GI Œ Ý o- á s â ps á o Ý Ž D lso po v s o c o cs su l o pp lc os oly w o L quy s p pl s ³ G o c c o C l s, y o u P o os p s sll w s y -op c p o s c o o c o s o IP s c os o s o su v W s o s yp. po v W c l. IPc o o, o c o l o y v W c l c s o vs v y o D s ssoc l. Fu P 6 su s o l y os v s o w c y c s sows sp so o D \ s GI o -. s p lc o s. K l s s o sly pu IPc o ss oc 2. Co! x 0! $ G.! s (C ] G) c psul s l o x o c o c s c c IP sou s. P c o s o l o s so w cq L s w x o o o. Ev y CG uc s s c p u o s 4. A! D Io F } D o F F } " w F ssoc o s. Gs y s ysc l s s os suc s IP, GP, o sp l c o po. y c #! " > I 1 o. "? F. wo ( \ IF) ls o ps sow oj [ c, suc s IP s p l c c o su P o o l o s l s c Dc oy v, u P c s o c os ou syss v W p. I F s ol s j x p c s s s. K s c o o s us y l c c o s, s 3. Cox 0! % Asco +. % s (C ] A) c v W s o o c, c ov W c s c c c c ss o c x s w x ss pplc o uc o. I s c u o s o so s c x s. y su w s pov y o c o o o y pplc CGs os, (.. IPc o 1234 spo ), p s o s o c o l w l o w-l v ( l.. s D o s o ) u P (.. D o s c c s o s s o c s s p o. IF s p - ), ou P c xul v s l pplc os sp ly s sc o -l v c l ly v pplc os. \ o s y lso x l v W o c c o s cl y v c u v o,.. s o oc v s op o. Fo xpl, oo cc ss o ol s ys, o o As o Gs s su s y v c o lly, wo l v W o c c c ly w c sl w v. u l y c c c c c o c oy,.. w IP, p s c ov W c, o w u P o s s p s c s c. \ IF, owv C' ( ) * + ), * ( * -. ) ' - ' ( ) * + ), * ( * -. ) ' - ox Go 1 C' ( ) * + ), * ( * -. ) ' - ox Go 2 Cox Go 3, s pplc o w o l sply s o o s 9 p so s v, s c c \ IF s s p : ; < * = * ) 5, us vs CG1 9 9 p : ; < * = * ( ) 5, p : ; < * = * ) 5, us vs CG2 us vs CG3 c l o c p o o s l C' ( ) * + ) 0. ( ( * 1 2 ' ( ) * + ) 0. ( ( * 1 ox Cl A Cox Cl B. cc o IF (s Fu P { 7) ss s o 9 oup o -op s K p : ; < >? 1 ) * - * = * ( ) 9 us l vs p : ; < ) * * = * ) us l vs s o w p os s v W s s o wy o o c o o x s. IF s C' ( ) * + ) ) -. 6 ) ' - ' ( ) * + ) ) -. 6 ) ' - ox Asco 1 Cox Asco 2 po s %! c! " s up o wc s o s 9 p : ; < * = * ) 5 9 us vs CA1 p : ; < * = * ) 5 9 p : ; us us vs CA2 ) * - * = * ( ) p lc os y K l vs s : 1. # C x 0 # C' ( ) * + ) 0. ( ( * 1 ' ) * ). * ox Cl C Cox Cl D C 3 l 7 ( CC ] ) oj [ c s l v c w 9 p : ; < >? 1 ) * - * = * ( ) us l vs 9 o \ IF po s o upl opo o p : A A ) * * = * ) ull l vs v l o c o s. ou P ) ' ) ' ) ', u P l pl suppls c ou P c s Applco 1 Applco 2 Applco 3 ply s ycoo sly w ulp l s s w o po s ow ou c o. Py sc lly Fu Û 7. Fwo Ac Ž cu Û

7 W W W v % G y H j E D I Bo As CGs c c v o s y o ous upl co w o I F po s y s o s s oc Cs. v lss, y ls o po v o sy c oo s c c o l p lc c o s o L qu y l s x y v o c o. F y c A o G c s o c o o - ox s o w p lc o s s s. o c c c o o ls s sc c c c s c s p o p o p v W x s. A s s c o v p l CCs w BA oc o C ls s v suppl s o 6 q - u c 3 cs y wc y y c lly ls w s s s o s y po uc o o. s ly p s x so c s o ll ly s op o s u v W uc o, c c s o wo. CA op o s p os o IF cc u. y sp o o x c p p o o x us y s o ox o o w o p lc o s. vou spo s o Ev W - Co o -Ac o (ECA) o l. y o o o s ycoo us v uc o, pply o l s s o w v o s u P lll, o ( s s, po uc lv W l v ). B w CG l pp lc o, v W c w o -s o A po s. Fo x p l, p s o s IP s, 1223 s y c 30 l, u P l so y Loc ) o + v " ) c Co! x 0! As %! c! o Do s c o s o - oo o. I u, L Ac ) cs % s Co + x 0! As! ) c! ul p s l v o u o s so sc v. s c x l v W wou P l lly pplc o c o p o c l c o,.. o o op c o. A ss l lw svc, # C x 0!, s us o sss \ IF p o s pp lc os s vy o o \ IF po s c p l s. Is op o s ous o v o l v W c [16]. W IF p o s s xp o s o ox s o [ jc c ssoc o yp s o vs lu P s o v u P s ov W. I o, ls o p o s K ou P s o s v W c s c o,.. c l s. Ap lc os y l L q s o s xp s so s o o c s o \ IF po s ov W v W yp o x l v, o wos v W s s o u vlu P s s. Fu P o, p lc os y s w o x o o w w ox souc s ov W vs o s o w xs os s. s p s s pplc os o p o s \ IF wo. c s o op c \ IF o s pplc o su P c o s u- u - s 5 " 7 l "! ( y x 0! s % " 5 l 7 y ( s. s s y j x souc s (CGs As) o c c v W s w vous ly s cs y su s (C ] As pp l c o s) s o x l. s pop y c us ul o \ so Fus c o pu P po s s. w CAs p os w o CAs o CGs p lc o s o o p x xul o c o l ow c ou I F o ppl c c o s. u P x s c o c c s p c s lc o o c j x o l c s s o s y s o lly us o w ou c lly L q y lc o. A J G G I l " w } E J F o F o K j I c I l J J I c L y I c I l I c F o C D E F ol 5. us, w v suppo ou o c l w p y o s spc s w wo u P o s : IP IF. IP po s s - c v s ly y l c o s so coy. IF c ly pul s s s s x l, sply lc o v W p. qu so sll o sw, o w v, s ow, oc s sys c vs l l v W (.. D o s s oc ), sys cv W ly c o,.. c v, c v o s- K o sow svc? Exp c o w c s c p l c c o v W l o s s ow o c s u o s s - s soc s v W c c s l cy l o l. ws, v y w s ppl c c o s v W l o, s u os v W olv s o c o v o u lly s, o ls c o y o c s c p l o c c s o o s o. l c o c s l w s s c ppl c c o p y v y cu P s o. o ov, s-l svc s o ou P o c s c c o us o ll ow us s ov W s ou P p y s c l sp c. o, c c s s l o o l o l cy l o us - K ou sv W c s o o s wo. u LocA u L y E (L u oc c o -Aw u L c c ycl y Ev c o ) wo c s sp l s o l cy l ( c.. c c c o, o v c o) c c o o c s u P w BA o c s s c wo. I o, c s - K lc c ul - ol c u s o oj [ c s wos l cy l o ls. ss o s s c c s pl c o pov c sul c o c y oj c! -c ) " + oll. s. s olls, w o p s o l l oc c o o u s ouc s l oc o, o c p c l c c s, ll ly c c po s c c o s l cycl s.

8 P W c c c P P c å c K K c W Lo AL u E s l c c o o oj [ c -l cy l l c c s ucu qu P c. Lo ALE s u o c svc cv W o o c p c l c c s sp l c y s lc o p l oy K l P s c sys s, suc s IP, o u P s sp sou P c s v W c l l c wo. Loc AL u E o s o p lc o s c ) o + -c ) os %! l 1 c ) ( ycl 7 )! ol 7 o s u oj [ c s. s v W c cv c o, u L ocale- K l lc os sp cy svc s l wo c c o s s w c s v W c wll l c o v. As s l o c s o ss, Loc AL u E u s o cl c ppl c c os p o c s l c o c l c c o oj [ c, o o w y s oj [ c s o c ov W. A sp q L s c c o c s p o o l o c ll ssu P o o c w os l o o c. W s \ IF c s o c s c p lc o v W l o, Loc AL u E o cu P ss o c py s c l. A u P l l sc p c o o c p c l c c s c l o o s c lw so w s v W [11]. A A p p I l J I c } D J F o C s 6. IP s s o coy s py v W p o sv W l s pplc os. I s sc o, wo s c x p l s o s us K l y o o-l l- o ps v W L CE º «L «y Cov ol c c o s c c v s oly o s s o v W lu K l s s lv s,.. p s o s ol. oo, s c v s s c ss p v o c l o s ll s. IP s sls s s K l s p l o s s o s o o y s l v W o c o o s ll w- s s py sc l s. s s cs o s o y (.. s pls o o l c s), o oo s s y p s ol oc. P opl wll o o o s s, oc o ll s o s c o o oc. IP s s ly, o y y vo, s ppl o ol o o o o os s y s c s o l o o y. p LCE #! "! p L " 5. y ( sys u P s v o l l y l o u s y s w c s u s. Ap o y c l u o l c y x j c su P s y s s, c s o o s o x j l o c o K ou oo s ou l. Dls o ls s oo c o s o j x c y o o s c vo s c K l y us. Fu P 8 s ows su P l o o o s c ou P LCE \ u L c y w o -. s pp lc o c w ol : p: www - lc..c.c.u L c y. ˆ Fu 8. LCE ã Ž Ly W I Ž c I lly, \ u L c y wou P l us s sp o ou P ou l o oy o o o c l ov s o I P- oo s. c s po oyp, ow, s s o -l c o c ss c o v c o o o w oo s c c s o u o c lly o o l ou, so w IP D c c o y \ v W. Po c l l y, u LCE l c c s w c l vo c IP - l oc c o s oo s o l. Ev W y l o o w o o y l o c s w c c o- y w IP. \ ll y, w IP s c o oo sp s (s Fu 8). s c c ls ssoc o oo s l o os w s o D \ us c c s G I o -, s s ow Fu 6. Fu 9 p c s op o o c u L c y sys. A o F \ v p ov c s cc s s o s l c s oo l oc o s c o o o, w s IP s l y s s s p u. D \ c s us o up oo ss o c j x l s su P l o oo ss. u L y l ou A s p o o o c up pocs s. c c c l c s o, sss y u LocAL u y E, c s cv W s o F \ v IPs o s. A w c c s pov o LC ] E s o: (1) o ws ou P oo o c s o o s oy, (2 s ) po y wo- K s s c o oos, ( 3) c w oo c o s, (4 ) c u w oos c l s c ou sso w IP ( 5) o c y oo c ls.

9 š œ «± š ž Ÿ ª œ œ o K ª l ƒ x œ» Ä v ± ƒ o x «o Fl Ž o Fl p o s o y o F l Ž o Cp u P o Ž o F v ² ³ µ F () Ž IP o F P s Ê µ Ë psf ( soucid) ² ³ ³ µ L œ y C l o IPD ls( ) u A Bo º ³ o Bs F IP D c o y v Bo IP Ž ¹ ³ µ o D svip Dls( ) s ² ³ ³ µ JPEGs IP Dls( ) Ly W C l B ¼ ½ ¾ À Á oo JPEG l Ly W P s Fu  9. LCE Ã Ä Ä Å L Æ Ç y App È lc Å o Ac É Å c Å u o-l v o oc ss o s p lc o o su w ll \ IF pplc o suc o o l. IF o l s vs o p lc os q L u l o c o o xu l o o. I s cs, syc o o s o c s o y sp c v s u P po s w p y. L K y s us o o 6 o s ov s ov W o opul ool o K s o ou l. I s c v W l c vso o sys ul ppl o l l K s, w us s o os o s s l, p o lp l K s, pl c wo c o. L K s o l l o o os spl c wl s o o s s w IP- K l c, L q o vsu lly sp c vy oos l ly F o [ l [ l o \ w- ] A u ¼ «o sp c s p o ov o uss so w svc s y q L w y. o l s o l w uss o ov ly ou P s s cs w o u uu P o o pu u P c o s souc s v W l K l o. us, oo y o svc s o y \ opu s o-c ll olw- s vcs. A? F ll 7 : w- % Auo l c c c o s ul o s s IP s p K l s s l c o c o ss o. Fol w- Au P o lc o o s s s w usc o s sp s w v y o v ou P l. IP w s ovs y lys vo s ov y sv W l w K -c s sll ou P ou l. Ac os s K u [ j K ox po ss u y sow o s w IP s p s c [ juox o l o os. F 10 so ws s K u p os v W olv p l o o Fo l w- Au P o pplc o. p o o sys s Fol w- Au o A, u ooo s c v o [ jc p s us. s lss o o us o v vs o [ j K ox o l c os vs pov W y \ IF wo, s sul s us c w s o s op os o l [ ju o x. I P j c c P s c CG I P j c c P s c CG o c #1 o c # pus IPEv Cox l c pus IPEv Cox l c C l C l { ƒ y { l IPEv s l j c IPEvs Pso Loco } j oo CA j c j ƒ Œ Juox Aco Cooll CA IP qus pso co j l c ~ j c ˆ j v IP Dcoy Cox l c ju ox ol v v Cox l c C l C l { j c l co { ƒ p p q l j ˆ uox Fo s j vs l p w- u ol vs Auo A j ˆ uo j x ol j c ƒ c j c ~ c cv c ˆ pl s y juox w j x w y w { j LocALE Lc j ycl P3 Juox c j c cv juox } c c ~ v c ƒ ƒ c j c ~ c c cv ply p3 uo P3 Auo c Pl y Fu 10. Fo Ý l Ý w- Au Û o Ac Ü Ü cu Û

10 G j q Ð Ì j Ž j c ] w W c Ñ E Ð å Ô G C Ì Fol l o w- ³ Au P o A op s s olws. F c sly, s s s c s w c P. % s p Loc )! " o + o # CA s c l o o v W s o s. l 1 so ws s o s, xp s s c Ex j Cos L, o us l23 v 1 s c s o c s A s l o c p c o o s us s o v v W s w LCE p s s. ly, c s s, sl wy, w c Ju o x Ac o o oll A s c l. p o v W l o s c -l vl v o c o Pso u Loc c o o c o A, cv s, ou Loc AL u E, P3 pl y [ j K ox po s. W, su K sq L u ly c c s s o v s, P 3 ly c s, us Loc ALE, o pu P w u P o o pu s s o us. W s ov W s ou P o ss s oy s o P 3 ply [ ju o x s v. c l o v s o Ju o x Co oll A, c s s s sul o l o [ ju o x s v. Í suc ovev { s psoid; cdsc o;.. ul.o.oo.o cdsc o;.. CED.4.LCE-oo1.c1 }; ( ( ($o == Í PsoLocooo ) ($yp == ov ) ($psoid == l231 ) ( LCE ~ $o) s LCE su-s o $.o? ) â Î Ï l ) 1. ˆ Fl Ž xpss á ã o Ý o o Ý D v Ž D v Bo P so u Loc c o o o Ju o x A c o Co oll CAs sl u P c o. y s w IPs Gs x cls o c v W IP v s s po o IPc o c os o s., y c p v s c v, w c s ss c o w IP D c c o y \ v W, o uc -lv W l v s c c ly c so l op o. As s w s ou P l oc o -w vo, us c o l ws. s o sys x o cu P s o pss s s po s. c s lc o l v s IP c cp l s, IF p lc o os u P o o l LocALE s o sup o. 7. A l } D W F o s Cy K Co [20 l ] c s vsu l c sys s o 2-D s L qu l c w IP c s o c v 3-D pos c c o c o oj [ c s. Ao olk [9] s y s ls o o oss s L q o sl p os, o wv, s c pls o l c c c s o w IP o y C ] o. B o CyC ] o A w o olk c o l os p ov c o c c o ccu P cy wo c l- c. y v c ly pp l c o o o Au ly, o o c ly c s pu P -sy ss o c o o c ws o l wo. Howv W, s squ P c ol o c s o s s c ly c l s w IP c c cu P l s clu vo s o ls s s K l o o c c o c c o w. o ov, o c s qu P sol c o o c u c o o c o x o IP. BBC s - [2 s 3] l oc o s y s s s c c s poso o c o o su o s, y us c uxl y ou o c o vo l ov o c o c c cul s, s c l o IP s, x j o c c l c o c o su c o. A w c pl c o o s s s o c v W l- v o p ocs s c. s y s s us o vul l c y o uc o,, s o w IP, xp s c u so o p y. Go s Co x Acc oj [ c [4] p s o s c lc o v W l o s s c p l s GI v p. Fo c ou P s Co j x W s s p j x s s c o x -u P s. IF s c o s p s c c s l c o o s p opo s y Co x Ac c c. Howv W, IF ocu P ss o o c c x c o c o c s s c c o. ³ c oso s y Es y u Lv [3 v ] p oj [ c c s c c x- w lv sp c s w c ou s v o w y l oc o o pu c vc. c o c o c p op l s o u P c s o s, w c ou qu c us o w y, s uc v W c u c ol s p ou P s lss l c l s ls IP. A s \ Co po [ jc [1] c s o plc c c c o ( o o s o yo ) y K l uss o c s c c w c s o u c sp c s o c s l o o o c o p ov c y Ac c B Loc c o y s. c s p s c l l s w sv W l s o s c s p l c c os [7 { ]. 8A. Ò Fu H E D Ó Wo F E } C F C I c I l H u s J F o Co us, oly y p s c c o p ly o IP s xp. Fu u wo wll s s c o o s p lc o s us o v 3D c o o o o o lso pov y IP. P s l y, w wo c o c o c s p l c c o o s c l v W o o u c l l c us s. W l c v c s y v W o l o -u P s s c o o uls l x j c os o c c vo. ly c s w y, s sys s wll s o o us s w c c c c os

11 \ J E C I Ü é q Þ í ñ Ý ê á Ü ì õ â ï ø é í é Ý í þ æ þ ã Ý ã å å ã ã c c, ssy c -u P s c vu P l s c c o s o s c s c o y c s up c. u P o o s c o oss s soc o o v W y us c s vo w c y Ev -C ] o o- Ac o A, y E A c so. EC ] A s o y s o % s "! - uo -c ) o uls o c c c o s o us w \ p c. o po ss s l y o c uo c c o o s ECA s v W s o IF-HE u P ls sp y us. A y o ou P p o c s w p s pu P ls c o o c c o sys s po c l u s u P ls, u LIP [15 x ] s c c lly. c s u P ls pss o CLIP \ c c c c c u s u P l - K s so. o s c l l c p o c s wo pp s o s o G I ls c o o c c v c o c o uls. w IP c s ovl s - c c v sly py l c c o s s o c o y. s s so s o - -s l w qu c s,.. c x j sv D s CP po c s s, s o o o-w c c vo s, o, o l po pos c c o. Al l s L q o u s PC w c vsu P l w s s s w K -c w IP s so w. I F s pp l c c o s uc o o l s s v W l op o s s o- v s y s s c ly pul s ss s o x j c o c o. Loc AL u E c s oj [ c l ycl c o o l l w s l c s us - K ou s v W c cv c o, o cv c o. I c c o, p c s p lc c o v p s o us sp wo pu c s ouc s c u LA. Loc AL u E l s IP s ol o s c v W s s p y pl x c y s uc o o s spc s. A up l o w I P- K l ppl c c os v W l lus o l c ou u P c os. Ac I o F " wl G Õ D s u P o s v y u P l o Dp o Eu P o o B squ P Gov o u P o s PD su P s o A Ö L K o os C K o spos o IP po [ jc. s ls o o.. o o s lp py o IP sys o o LCE l o oy o K. \ u P l o o o- s cl. cs [1] A L Ø o os C Ø, Cop Ú Û u Ho P, 2001, Ý Ú p: Þ Þ Û ß. s c Ý.. Þ sp Ú á á [2] â B ow ã Ü P.J ä., â Bovy å ä J.D æ. ã C Ý ã ç. Co ã x è -w AÚ p Ú p l á c á o ã s: o Ý ê L Ø o o å y o Ý ß Ú plc, ì I í E í EE Psol Cou Û c os, 4(5), Ú p Ú p , 1997 [3] Bu Û B., y å s B., Ku Û ä J., K A.,. Esy å Lv: cos o I ll Evo s", H ã Ý l ã î Ø á qu Û á ou Û s Cop Ú Û u á ã, p Ú Ø 2000 [4 ï ] æ Dy å é A.K., l Ø æ D., ð F Û u ß w. ã é A Ø ow G. A é c Ý á c Û u o su Û Ú p Ú po ã x è -w p Ú Ú pl á c á o ã s, 12 Au Û l AC y å p Ú osu Û o î s I c o w coy å, 1999 [5] Fosy å D., u Û y å ä J.L., ss A., Co C., Hll A. ã ñ o Ý wll C. I ì ã v á ã æ Dsc á Ú p o s o 3-D Ø ò jc ã á á o ã ã Ü Pos, ì I í E í EE ó ã sc á o ã s o ã Ü P Aly å ss c I llc, ô ol. 13, õ o. 10, Ú p Ú p , c o Ø 1991 [6] H é A. ã Hop Ú Ú p é A. A æ D á s á Ø Û u ê Loc á o ã y å s o é Ac á v á c, ì I í E í EE õ wo ß, ô ol. 8, õ o. 1, ä J ã Û u y 1994 [7] H A., Hop Ú Ú p A, ls P., W A. W Ø s P. A oy å o Co x -Aw Ap Ú Ú plc o, Pocs o BIC 99, l, Au Û u Û s 1999 [8] Hop Ú Ú p. é A. ó Ý Cl á o Ü P so ã ê Lc Û u, 1999, ã á ã Cop Ú Û u á ã, Ü P Ý á sop Ú Ý á cl ó ã sc á o ã s ñ oy å l oc á y Loo. A (2000) 358, [9] K o H. ø ù B ú ll ú ø û ü u ý s þ.. ý ÿ ý ý c ÿ ú ø ø HD Cl ú ý ú o o ý ú o- s A ü u ø l ú y Coc y s, Pocs o 2 I o Wosop o Au ü l y, p p , c o 1999 [10] Ko-o. Co x -Aw Ap plc os u ü vy, I ø ý ø wo ý ÿ ú ø ú ø ý ( ú ÿ ), Hls ú ø ÿ ú ø ú v ý s ú y o c û ø oy, [11] ê Lóp Ú ì I Ú p á ñ æ D. ã ê Lo. "L ê oca é ê L í E: ê Loc á o ã -A é w Lcy å cl í E ã v á o ã ã o î Ø á qu Û á ou Û s Cop Ú Û u á ã ", P oc á ã s o Ý 15 ì I ã ã á o ã l Co ã ã c o Iã o á o ã õ wo ß á ã (I ì CI ì õ -15), ð F Ø Û u å y 2001 [12] Lóp Ú Ip Ú ñ D. IP: Low-Cos ô so-bs Loc o y å s o î Ø qu Û ou Û s Cop Ú Û u, su Û Ø o 2001 Wo ß s Ý op Ú o ã Ü P cp Ú á v î s ì I ã cs, õ ov Ø [13] Lóp Ú Ip Ú ñ D., IP: A Ds Ø Û u vso- Ø s so y å s, L Ø o oy å o Cou Û c o E, C Ø, ccl p Ú o, p Ú Ø 1999 [14 ï ] o ã ó.p Ü., u Û ã í E., ô ã ll W., Gu Û ò j é A. î., ð F á s Ý ß á K.P Ü. ã â B.L ê. H á so ã. D æ s á ã ã c Ý ã oy å o Coll Ø o: ll Ø o v lls o o o o Úp y å scl wlls, Pocs o 12 u ü l AC sy p os ú ü u o ø s ý ú ø ý c so w ý ø c û ø oy, ov Ø 1999 [15] õ é AA é, CL ê ì I Ü P: A ó ool o â B Û u á l á ã í E è x Ú p y å s s, Ú p: Þ Þ Þ clp Ú s Þ CLIP. l, Au Û u Û s 1999 [16] Ø ò jc Gou Û Ú p, Ø ò jc vc p Ú cc o, y å 2000 [17] Ø ò jc ã ã G ou Û Ú p, õ á ã v á c p Ú c á á c á o ã, ð F Ø Û u å y 2001 [18] Ø ò jc Gou Û Ú p, õ o c o vc, ov Ø 1998 [19] Ø ò jc ã ã G ou Û Ú p, ó Ý Coo ã Ø ò jc ñ qu Û s B o ß é A c Ý á c Û u : é A c Ý á c Û u ã p Ú c á á c á o ã, c o Ø 1999 [20] o o ä J. Ay å su Û. Cy å Ø Co: Ds Au Û l å y Evo s w ô su Û l s, Pocs o DAE 2000, 2000

12 é ô Ý â é á ô æ í é ô ã Þ [21] l Ø D., Dy å A. K. A Ø ow G. D. Co x ool : A Dvp Ú o Co x -E Ø l AÚ p Ú p l á c á o ã s, Ü P oc á ã s o CHI ì '99, y å 1999 [22] o -F ð s ä J. ã ñ o Ø á ã so ã Ü P. B â á Ý â Bo : A o-a é Û u ã í E ã v á o ã ã, Ü P oc á ã s o Co ã ã c o Hu Û Fc os Cop Ú Û u y å s s (CHI96), Ap Ú l 1996 [23] os G. A., ä J ä J., õ Ø l., î qu Û C. A vs l c Ú pos á á o ã su Û ã sy å s o v á Û ul l á å y á ã ó Úp ou Û c á o ã, Ü P oc á ã s o ì I â BC 97, Ú p Ú p. 284 ï -289, p Ú Ø 1997 [24] s.. "A vs l C Cl Ø o cqu Û o H á Ý -A é ccu Û cy å 3-D c Ý á ã ô á s á o ã oy å î s á ã - Ý l ó C s ã ê L ã ss", ì I í E í EE ä Jou Û ã l o ñ o Ø o á cs ã é A Û u o á o ã, vol. ñ é A-3, ã o. ï 4, Ú p Ú p ï ï 4, é A Û uu Û s ou Û c : Ú p: Þ Þ Û.u Û Þ s Þ cs.cu Û.u Û Þ Û us w Þ www Þ sco. l [25] W., Hop Ú Ú p A., Flcão A. G Ø Ø os ä J. Ac v B ê Loc á o ã y å s, é AC ó ã sc á o ã s o ã ì I ã o á o y å s s, ô ol. 10, õ o , ä J ã Û u å y 1992 [26] W A., ä Jos A. Hop Ú Ú p A. A õ w Loc o cqu Û o Ac v c, IEEE Psol Cou Û ã á c á o ã s, c o Ø 1997, Ú p Ú p. ï 42-4 ï 7 [27] W á s. ó Ý Cop Ú Û u o Ý 21 s C ã Û u å y. c á ã á á c A á c ã, 265(3):94 ï -104 ï, p Ú Ø 1992

Convergence tests for the cluster DFT calculations

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