On optimal chamfer masks and coefficients
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(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. On optimal chamfer masks and coefficients Grégoire Malandain — Céline Fouard. N° 5566 May 10, 2005. ISSN 0249-6399. ISRN INRIA/RR--5566--FR+ENG. Thème BIO. apport de recherche.
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(396) b`p_^ay_dLW#NudcNmZ ]-0 |Tgd 6 k -0$d 6' < '$dNkm oJ_N(yLw(N &'¾ ¾ < ¾ j ² P Z#JLrcXEZR`]4N p>`^y0ZRN\q `cgYZZRJLrtZ
(397) W]WVFwxJL`0`0X[^ay_Jd Ndg< ZvJ_N¦w(`cyLq_^¥Zv^`yLXo#§ .0jrciRN¦rtba#rVYX@¡N(iv^ &LN\q §ZRJ_NM rt¬Y^Mg_M @oba^aN
(398) Xu^ZRJ_^ay£ZRJLNX[N\w´Zv`ci-0/21fegd51Ce 6 m :8N®`c]_Zvrt^ayZRJ_N
(399) y£ZRJ_N$¡rtbag_N
(400) ( § ¦`c ZvJ_Nu]4N
(401) X[Z)p>`0XRXR^]LbNN(iviv`ci#^¥ZvJ_^yZvJ_^fX)X[N\w´Zv`c.i -0/21fegdC1Ce 6 ¾ | < | d
(402) § < ¾ ¾ § 2t ¾ d . ÉÃÊHËÉ~Ì.
(403) ¨. mª. ª (¨Aª.
(404) ! #"$ 6. Uj 1 uj. H ij. Ui. ui θ ij O. ^dg_ivNu ;o`tZvrtZR^a`cyLX#`ip_iv`cp4`XR^¥Zv^`y _ , ¼ ¼ O O¼ M® ¯ Yª ´¨# F = ª /! d" ? Wª 0 ª Wª(¨ 0 0 (¨# ª < Wª£ª 0ª F (ª / $¨ m¨# ª Yª ( ª J-G/21C$d 1f 6 ¨ 0 wpvª ´¨cp aªFª (© I&J_^fX¦^aX XlZvivrc^dJ0Z[`civ&rtixq¯XR^ayLwmNuZvJ_NF]>N\XlZp>`0XRXR^a]_bNN(iviR`i)^aX d^¡N(y]WVN
(405) e0gLrZv^`y § 2c´rtyLqX[^ayLwmN d < ¾ j ² & ^fX&ZvJ_NuJ_N(^adcJ0Z§ArXRXR`Ywm^frZvN
(406) qZR`FZRJ_NuN\qYdcN`p_p>`0X[N\q®Zv>` /u&`t*ZRJ_NZviR^frty_db+N /!8d , ¼ ¼ O O¼ M ¯ Y ª ( ª J-0/21C$dC1C 6@¨ W ª B 00ª F !ª Id pvª Eªxª C Y+ª } ª $d ! ®¨ Yª ª ¨ 0 wpvª A ´c¨ p ª ª (© I&J_^fX^fX)X[ZRixrt^adcJ0Z[`iR&rtixq®XR^yLw(N '$d F< ² ¾ >rcyLqZRJ_N
(407) y d < ² ¾ 8 :Nw
(408) rtyrtbfXR` N(¬Yp_iRN\XRXZvJ_Nrt]4`¡cN M ^y_^aMgLMN(iviv`ci&]WV | ¾
(409) >-@C6N<
(410) ² ¾ §#5
(411) ². FJg%a J%E%¥
(412) B> %
(413) , ¼ ¼ O O¼ M ¯ Yªpvª / ´¨cp ªª C mª
(414)
(415) 0 2^ ¨ Wª
(416) ¨ Yª pvª ´¨cp ª ª (ª J-0/21fgdC1C 6 °E¨A©«ª\©
(417) § -_IeI1. ..5e § ha6w< ¹)¶
(418) § -0/21f 1C 06 ¼ ¿ µ NmmZ -0/21fgd51C 6 ]4NZRJ_NX[N\w´Zv`ciZRJLrtZFVW^aN(bfq£ZRJ_N¯M$r¬Y^aMg_M `c)ZRJ_N¯¾ ]4N
(419) X[ZFp4`XvX[^a]_baNN
(420) iRiv`cixXu`¡cN
(421) ircbb XRN
(422) wmZR`ivX
(423) 2¨A©«ª
(424) © d 1¥v-X[N\w´ZR`Ji -0/21f 1C 6ErtyLqbN( Z § N< ²j ¾ §5X[N
(425) NN
(426) e4)§A}0[´. . . . . . HAHJI0K7LLMM. . .
(427) \. ¨. 0 , ! 0. µ NmZgLXM rccN N
(428) e0gLrcbErtbab@ZvJ_N®y_`iRM$rtba,^ +(N
(429) q#N(^adcJ0ZvX E¨A©«ª\y© < § f1v2®P Zw
(430) rty£N
(431) rX[^abV]>N ¡N(iv^&>N
(432) qZRJLrtZ&N\e4)§ .0&rciRN ¡cN
(433) iR^ &LN\q®`iN(¡cN
(434) iRV®XRN
(435) wmZR`iJ-0/21C 1f 6v I&J_NuM ^ay_^aMg_MN(iviR`i#`¡N(iZRJ_NwxJ>rtMFN(iM$rcXR®^fX&ZRJLN(y
(436) d - _Ie 1. . .Ce § h 6$<¹2 º » |< § |)<
(437) ( § f-G/21C$d51f 6 XR^yLw( N < § f1v I&JLN M$rt¬W^aMgLMN(iviv`ci#`¡cN(i#ZvJ_NwxJLrtMFN
(438) iM rX[^aX#ZvJ_N(y¤§Aw
(439) rcXRN$§5|tr0[. ½ @ - _Ie]1. ..5e § ha6 < ¼¹) ¶ ¿ C ] P|7km à B | < ¼¹) ¶ ¿ § |)< d§ l|<
(440) § -0/21C d 1C6 :8NuJLr¡cN ZvJ_N(yNm¬YJ_^a]_^Zor X[N(Z&`c yL`civM rcb,^ +(N\q®#N(^adcJ0ZvXXR`FZRJLrtZZRJ_NuN
(441) iRiv`ci#`t ZRJLNwxJLrtMFN(iM$rX[ ^fXEZRJ_N ]>N\XlZ&p4`XvX[^a]_baNoN(iviv`ciE`cZRJ_NXRN
(442) w´Zv`ci#`t°M ^ay_^M$rcb4JLN(^adcJ0Z
(443) @µ°N(Z#g>XEivN(M$rtivZRJLrtZ
(444) Y^ay$ZRJ_N dcN
(445) y_N(ixrtb w
(446) rcXRNc0ZRJL^aX)XRNmZ)^fX&y_`cZ&gLy_^ae0g_NrcyLqZRJ_N
(447) iRNM$rV®Nm¬Y^fXlZ`cZRJ_N
(448) iN
(449) ^dJZ)XRNmZxX&^y=* § ZvJLrZVW^N
(450) baqZvJ_NXRrcM N N
(451) iRiv`ci\ ~`iRN
(452) `¡cN
(453) i
(454) ZRJ_Nu]4N
(455) X[Z)p4`XvX[^a]_baN N
(456) iRiv`ci&`c r$wxJLrcMN
(457) i&M rX[^aXd^¡N(y]0V
(458) ( § f-_Ie 1. ..Ce § ha6w< | d #§ 6 d ^ZRJ d < ¼¹2 º¨» ¿ * # m ( ( * µ NmZ <R-cg1 1#6v_rtyLq -0e$d51Ce 1Ce 6j]>NZvJ_NX[N\w´Zv`ci&ZRJ>rZowm`y0Zvrt^ayLX :8NuJLr¡cN .
(459). . . . . . . . . <¤#e d e e ^ZRJ . . . . . ¤2< < <. -cI !| '6c dc Ad -{ Ad |7 d
(460) 6c d ] #u d -{ d t | I d 6c Pd{ ud . . -c ' |7 E6c -c#u | I]6
(461) ad | dc |7 d | Ad -{Pd | Ad6c -c dË|7Pd{ 6
(462) ] d ' |7 d t | #u d !| ]I d -c# d | d '6c -{ d ] | #; d 6
(463) d |7Pd{ | d | Ad. [§
(464) ¤)< -0e eg d 1Ckme e 1C e 6 . rcyLq < -Ge e$ d 1fk=e e$1fde 6 . rcyLq < -Geg egd d 1Ckme e 1C e 6/. §[c\ I&J_NwxJLrtMFN(i qY^fXlZxrtyLw(N`t w(rty]4NrcbaXR`$Nm¬Yp_ivN
(465) XvXRN
(466) q¯rcXor®b^ay_N
(467) rciowm`M]_^ayLrtZR^a`cy`t@^ZvXow(`W`cixqY^¥ y>rZRN\X ; `i. =±² -`6w<¤ab d b b+< g . . ÉÃÊHËÉ~Ì.
(468) ¨. mª. ª (¨Aª.
(469) ! #"$ . ^ZRJ. X< ge d51Ce 1Ce -C-{I | '6cb d -{ d | d a6cb -c d ' |7] d 6cb E6 < e d 1fe 1fe -5-c |7 6cb d -{Pd | Ad6cb -c Ad | d 60b 6 < e$d51Ce C1 e -5-{#A |7 II6cb d -{ ] d |7 d ¥6cb -c d I| #A d 60b#6 "$ %' < e 1fe 1fe -5-Ge kme 60bd -Ge k=e$d6cb -0e$d k=e 60b 6 d . . . `i !
(470). . . §[\ c §[
(471) .
(472) $ F 5 %E P #. µ NmZ®gLXwm`yLX[^fqYN
(473) i ZRJ_Nrc]LXR`cbagYZRNN(iviv`ci$]4NmZl#N(N(y ZvJ_NwxJLrcMN
(474) iqY^fXlZxrtyLw(N-rtyLq ZvJ_Nn@gLw(b^fqYN\rty `cy_N §ANm¬Yp_ivN
(475) XvX[N\q®^ay`iRbfqgLy_^¥ZxXvm
(476) - `6w< =±² - `6Ë| ²-`6w< g | ? @² ² ? D² ² ? ²H ² :8N$^abbEX[ZRg>qYVZRJL^aXuN
(477) iRiv`ci`y8rXRp_J_N
(478) iRN `t#ivrqY^agLX rtyLq#N$iRN\XlZviR^fw´Z ZRJ_^fXX[ZRgLq_Vc ^¥ZvJ_`cgYZ ba`XvX`cdN(y_N
(479) ivrcb^ZlV$Zv`$ZRJ_+N &LivX[Z¦XRpLrcw(Ne0gLrcqYixrty0Z{§ g1 1 ´oQ¦yZRJ_^fXoXRp_J_N
(480) iRN_ZvJ_NN(iviv`ci)w(rcy]>N N(¬Yp_iRN\XRXRN
(481) qrcXrg_yLwmZR^a`cy`tN rcyLq
(482) >-`6w< - ² |T? D² ² |T? ²H ² 6? @² |) :8NrtivN)b`W`0^ay_d`ciZRJ_N N(iviR`iEM$r¬Y^aMg_M4¨A©«ª
(483) ©j`ci @N<¶ ·5¸8¹)¶
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(485) iR^a¡rZv^¡N
(486) Xj`c ZvJ_NuN(iviv `cig_yLw´Zv^`yrtivN
(487) < | ?\D² ?
(488) ²H
(489) ?A@ ² |T? ²D ² |X? ²H ² rtyLq < | ?A@ ² |T? ²D ² |T? ²H ² D < VW^N
(490) baqLX!?\D² Y²!< ²I?
(491) ²@ j
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(493) X ?@?D @ < ? H ² ? ²D ? ²H ² ? ²@ ? ²H ² ? ²@ ? ²D ^ayLrtbabaVcY#Nu`c]YZxrt^ayZvJLrZZvJ_NuN(iviR`i
(494) >- `j6 ^fX&ZRJ_N
(495) yM rt¬Y^M$rtbrtZ @ qYN;&Ly_N
(496) q]WV ?AD? H ? @ ² ? ²D ? ²H ² ? ²@ ? ²H " ² ? ²@ ? ²D % @ ?u@E? H @ < "$ @ %' < ?uD ² ? ²D ? ²H ² ? ²@ ? ²H ² ? ²@ ? ²D @ ? ? @ ' $ ?HD ² ? ²D ? ²H ² ? ²@ ? ²H ² ? ²@ ? ²D . HAHJI0K7LLMM. §[.0.
(497) VW^aN(bfqY^ay_d. ¨. 0 , ! 0
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(500) >-'6. < d l| < |) < )|
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(502) rtbfwmg_bfrZv^`y¯q_NmZvrc^bfXw(rcy]4N`cgLyLq¯^yXRN
(503) w´Zv^`y¯O ac Py ZvJ_^aX8wm`M p_gYZvrtZR^a`cy°u#N¢qY` yL`tZpLrV rZRZRN(y0Zv^`yzJ_NmZvJ_N(iZRJ_^fX-M$r¬Y^aMg_M ^aXN+*2N
(504) wmZR^a¡cN(baV ivN
(505) rwxJ_N
(506) q°4¨A©«ª\©J_NmZvJ_N(i @ ^aX&N *4N\w´Zv^¡N(baV®^¥ZvJ_^ayZRJ_NuXRN
(507) w´Zv`ciJ-G/21Ce d 1fe 1feE6v , ¼ ¼ O O¼ M ¯ Y> ª ¨ @ Yª ª ? ¨ 0
(508) -`6 ¨Aª X@¨ ¨ Wª mª -G/21Ce$d 1fe 1fe 6¦¨ ! rs$¨ Yª Rªxª @¨ 0 ¨ ¨ 0 R,ª }ª ´¨ -ª © -Ãwd -0 km 6 -G k=gd 6 -0$d8k= 6 6 . -0 km 6 §l|tr0 -Ãwd -0 km 6 -G k=gd 6 -0$d8k= 6 6 . -0 km$d6 §l|]> -Ãwd -0 km 6 -G k=gd 6 -0$d8k= 6 6 . -0$d8k= 6 §l|tw
(509) I&JLNw
(510) rtbfwmg_bfrZv^`y¯q_NmZvrc^bfXw(rcy]4N`cgLyLq¯^yXRN
(511) w´Zv^`y¯O Y P ZvJ_Nowm`yLqY^ZR^a`cyLXo§l\|@rtivN¡cN
(512) iR^ &LN\qtZvJ_N)Nm¬WZviRN
(513) M r`c2ZRJ_N)N
(514) iRiv`cigLyLw´Zv^`y®`cy$rXRp_J_N
(515) iRN`c2ixrcq_^gLX rtivNba`Yw(rZvN
(516) qFrZZRJLNZvJ_ivN(N&p>`^y0ZxX ½ (m rcyLq @ ½ (rtyLq ]4N(^ay_diRN\X[p4N
(517) wmZR^a¡cN
(518) bV q_'N &Ly_N\q]WV ½ < ¤#e d (F< erty>q < e§AXRN(NN
(519) e4F§[
(520) 0[JL^baN @ ^fX¦q_'N &Ly_N\q-^ay-N
(521) e4 §[ .W´ I&J_^fXorcbba`)XZR`q_NmZRN
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(523) wmZR`i
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(528) X `c@iRN
(529) bartZR^a¡cNp4`XR^¥Zv^`y`tj¡N
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(535) iRiv`ci\
(536) ½ @ ^fXivN
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(539) iRiv`ciu^fXivN
(540) rwxJ_N
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(546) iRiv`ci&^fX#ZRJ_N
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(549) q¯rtba`cyLd¡N
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