CT MRI 9.46% 10.01% 6.49% 5.56% 2~10MHz 1~1.5MHz. 2.1 Fig.1. 1MHz. center right 3 1 right 0~35. center. 1 Fig.2 T-22L( ) 25 NSI-PL01(( ) DL1720CL(

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49 26 25 26 In Vitro Ultronic Simltion for Vilizg Br Srfce nder Skll by Ug Fzzy Inference M. Kimr, S. Kobhi, K. Kty, nd Y. Ht (Grdte School of Engeerg, Univerity of Hyogo btrct Bece the ltronic wve i refrcted when the ltronic wve penetrte to the kll, the conventionl trncrnil ltronogrphy limit the g plce. Thi pper decribe the fzzy imgg ytem coniderg the ltronic refrction. Thi ytem conit of two tge. In firt tge, we clclte thickne of two crylic bord by g fzzy ference. In econd tge, we clclte the refrctive ngle of the ltronic wve to mke imge. We pplied or method to the teel with ditch (modeled hpe of lc nd two crylic bord (modeled hpe of kll. relt, or ytem cold mke modeled object imge high ccrcy. Key Word: Br imge, trncrnil ltronogrphy, ltronic wve, refrction, vitro, fzzy ference CTMRI 9.46%.% 6.49% 5.56% 2~MHz ~.5MHz 2 2-4 MHz 2. Fig. 3,4 MD (KGK MD left centerright 3 MHz left right center ~35 Fig.2 5 T-22L( 25 NSI-PL(( 6 MD DL72CL( 2n ( mm Fig.3 MD Fig. 3

left center right l ~35 r ~35 MD-probe ytem Direction of ltronic irrdition l Fig. : MD-probe ytem. r crylic bord 44 Thikne.4 38 38 Steel ( (B (C (D (E.39 7.32 24.25 34.64 5.96 3. 5. 7.. 7 5. 7mm Direction of cnng Tri-probe crylic bord Ultronic Plr Receiver Ocillocope Peronl Compter ll ngle of ditche re 2 degree Fig. 4: Mteril. Unit[mm] Steel Strtg pot Fig. 2: Ultronic wveform cqiition ytem. V left center right V ot crylic bord crylic bord Fig. 5: Clcltion of cident ngle. MD Fig. 3: Trnmitted wve nd received wve of MD-probe. 2.2 y -y Fig.4 y 5 3.5.7. (. 5.mm.4mm,y ( 2 i,y i (i=,,2, ( i,y i 3 3.2 Fig.5 ( i,y i (,y Fig.5 (,y V (,y V ot ((2 v v w 3. V V = rc co Fig.2 V V ( MD v ot = rc (2 2.5 3 2.5 vw

m (, degree ( ( Th m (, ( p p ngle degree ( p p Th p mplitde m (, degree ( d d ( d ( NGLE (b MPLITUDE (c DISTNCE Fig. 7: Memberhip fnction. Th d d 2 Th d Ditnce Probe mplitde Obtcle Srfce 2 Upper crylic bord 3 Lower crylic if-then bord Obtcle IF THENHGLE Bottom Time 2IF THEN Fig. 6: mplitde of reflection wve from obtcle. MPLITUDE 3IF THENDISTNCE 3.3 if-then Fig.7 NGLE 3.2 Th ( i,y i d MPLITUDE Th p DISTNCE Th d totl( 2 totl ( = m ( (, m ( p(, p m ( d (, d (3 2 (y y= 2 (y= (y= 4 Fig.6 totl ( Th d..2mm 4.mm totl( 2 totl( 2 2

Strtg pot Wter crylic bord Wter ot ( X ', Y ' Direction of ltronic conidered refrction (, y (, y (', y ' ( X, Y Direction of ltronic withot refrction Etimted vle [mm] Etimted vle of thickne [mm] Totl degree of obtcle thickne Inpt vle [mm] Fig. 8: Ultronic refrction. Tble : Etimtion relt of obtcle thickne Firt Second Third Tre vle [mm] 2.8 2.8 2.8 3.4 Etimted vle [mm] 2.9 2.93 2.98 Fig.8 Men error rtio [%] 3.57 4.64 6.43 4 4. Fig.8 (X,Y Fig.9 (X,Y Fig.9 Inpt vle Fig.7(c Th ot d d Fig.9 (,y 2.9mm (,y 2.9mm (X,Y (,y (X,Y (,y Tble Tble 4.88% (,y (X,Y (,y (X,Y 4.2 (,y (,y (,y (,y 3. (X,Y TB TD (X,Y y TB TD mm (,y (,y t (,y t 5 y (,y 5 t (,y (,y(,y t v v w (,y(,y v (4(5 w R 5m/ vw v w = d tnot tn (4 v ot v R = vw t (6 v w co 2 y y = d (5 v co ot totl Fig. 9: Relt of fzzy ference Totl degree of obtcle thickne

255 Strtg pot Tre poition of wide B C D brightne B C D E Fig. : Synthetic imge before pplyg or method. 255 Strtg pot B C D brightne B C D E Fig. : Synthetic imge fter pplyg or method. Tble 2: Before pplyg or method. B C D Men error depth.35.97.95.2 (mm width 2.84.85 2.89 3.98 Stndrd devition depth.29.35.88.5 (mm width.65.2.47 2.73 Men error depth 7. 3.86 9.5 7.47 rtio (% width 6.4 7.63 8.34 7.66 Tble 3: Or method B C D Men error depth.35.48.83.57 (mm width.27.92.64.6 Stndrd devition depth.5.6.93.46 (mm width.58.94.7.64 Men error depth 7. 6.86 8.3 3.8 rtio (% width 7.33 7.3 4.73 3.8 Fig. 2: The ditch of mgnified imge before pplyg or method. The broken le denote the tre width poition of teel ditch nd the tre center poition of teel ditch. Strtg pot Strtg pot Tre poition of wide Fig. 3: The ditch of mgnified imge fter pplyg or 4.3 method. The broken le denote the tre width poition of Fig. teel ditch nd the tre center poition of teel ditch. Fig. Fig. Fig.2 Fig. Fig.3 5 Tble 2 5 Tble 3 2 Fig. Fig. Fig.2 Fig.3 Tble 2 Tble 3.% 4.88% 6.49% ( 5.56% 9.46% 5.56% (.%

B(KKENHI 739337. T. Shimiz, K. Ngmne, S. Kobhi, K. Kondo, Y. Ht, Y. T. Kitmr, nd T. Yngid, n tomted Ultrond Dicrimtion Sytem of Tie nder n Obtcle by Fzzy Reong, Jot t Interntionl Conference on Soft Comptg nd Intelligent Sytem, p. 83/88, Oct. 22. 2 F. Vignon, J. -F. bry, M. Tnter,. Mrgom, M. Fk, Dl-rry Br Imgg Prototype: Eperimentl In Vitro Relt IEEE Interntionl Ultronic Sympoim, pp. 54/57, 25. 3 T. Shimiz, K. Ngmne, S. Kobhi, K. Kondo, Y. Ht, Yri T. Kitmr, nd T. Yngid, Skll nd Br Viliztion by Trncrnil Sonogrphy Sytem Pro. of The 8 th trll nd New Zelnd Conference on Intelligent Informtion Sytem, pp. 427/432, 23. 4 Y. Ht, S. Kobhi, K. Kondo, Yri T. Kitmr, T. Yngid Trncrnil Ultronogrphy Sytem for Vilizg Skll nd Br Srfce ided by Fzzy Epert Sytem IEEE Trnction on Sytem, Mn, nd Cybernetic, Vol. 35, No. 6, pp. 36/373, 25. 5 T. Kimr, K. Ngmne, S. Kobhi, K. Kondo, Y. Ht, Yri T. Kitmr, nd T. Yngid, Three-dimenionl Bone Shpe Sonogrphy Sytem ided by Fzzy Logic Pro. of The 8 th trll nd New Zelnd Conference on Intelligent Informtion Sytem, pp. 63/68, 23. 6 Ultrond Hndbook committee, Ultrond Hndbook, Mrzen Co. Ltd., 24/26 999.