15 2 5 - 京都大学cLd hL3]iU» QÕ½©IpX-¾LGFS Â:öA÷ c-ø=ùÎ pòLó ... These criteria...

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Page 3: 15 2 5 - 京都大学cLd hL3]iU» QÕ½©IpX-¾LGFS Â:öA÷ c-ø=ùÎ pòLó ... These criteria form a hierarchy that visual psychology criterion is the lowest and shot composition

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Automatic Filiming Method

with Fixed Camera Shot Segments

Based on Motion History of A Target Object

Yasutaka ATARASHI

Abstract

Video images taken by automatic filming system with multiple cameras are

required to be sophisticated. There are three criteria to evaluate video images,

one is based on visual psychology, another is framing of a shot and the other is

shot composition of adjacent shots. These criteria form a hierarchy that visual

psychology criterion is the lowest and shot composition is the highest. Lower

criterion should be fulfilled to satisfy higher criterion.

In this study, we compose a video sequence with fixed camera shot segments

to eliminate unstable background motion in video image, that depress the eval-

uation of the lowest criterion. Since pan-tilt-zoom cameras except for the one

which is selected as an output are allowed to change their direction and zoom,

it is important to control cameras before they are selected.

We propose a method in which filming rules are made automatically before

online filming process is conducted. Since the best strategy to control cameras

depends on target motion, we make use of motion history of each target object

that is to be shot. By using a graph that is generated based on a motion history,

we make filming rules that guarantee cameras are controlled before they are

selected and that fulfill all criteria as much as possible. Our experiment shows

the validity of our method.

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Page 9: 15 2 5 - 京都大学cLd hL3]iU» QÕ½©IpX-¾LGFS Â:öA÷ c-ø=ùÎ pòLó ... These criteria form a hierarchy that visual psychology criterion is the lowest and shot composition

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Page 11: 15 2 5 - 京都大学cLd hL3]iU» QÕ½©IpX-¾LGFS Â:öA÷ c-ø=ùÎ pòLó ... These criteria form a hierarchy that visual psychology criterion is the lowest and shot composition

� Z[10]K

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=

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sin θ(j) v(j)0

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(2)

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Page 12: 15 2 5 - 京都大学cLd hL3]iU» QÕ½©IpX-¾LGFS Â:öA÷ c-ø=ùÎ pòLó ... These criteria form a hierarchy that visual psychology criterion is the lowest and shot composition

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Page 13: 15 2 5 - 京都大学cLd hL3]iU» QÕ½©IpX-¾LGFS Â:öA÷ c-ø=ùÎ pòLó ... These criteria form a hierarchy that visual psychology criterion is the lowest and shot composition

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Page 14: 15 2 5 - 京都大学cLd hL3]iU» QÕ½©IpX-¾LGFS Â:öA÷ c-ø=ùÎ pòLó ... These criteria form a hierarchy that visual psychology criterion is the lowest and shot composition

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1

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Page 15: 15 2 5 - 京都大学cLd hL3]iU» QÕ½©IpX-¾LGFS Â:öA÷ c-ø=ùÎ pòLó ... These criteria form a hierarchy that visual psychology criterion is the lowest and shot composition

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Page 24: 15 2 5 - 京都大学cLd hL3]iU» QÕ½©IpX-¾LGFS Â:öA÷ c-ø=ùÎ pòLó ... These criteria form a hierarchy that visual psychology criterion is the lowest and shot composition

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19

Page 25: 15 2 5 - 京都大学cLd hL3]iU» QÕ½©IpX-¾LGFS Â:öA÷ c-ø=ùÎ pòLó ... These criteria form a hierarchy that visual psychology criterion is the lowest and shot composition

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(21)

20

Page 26: 15 2 5 - 京都大学cLd hL3]iU» QÕ½©IpX-¾LGFS Â:öA÷ c-ø=ùÎ pòLó ... These criteria form a hierarchy that visual psychology criterion is the lowest and shot composition

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a∈B WaB

(22)

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)

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21

Page 27: 15 2 5 - 京都大学cLd hL3]iU» QÕ½©IpX-¾LGFS Â:öA÷ c-ø=ùÎ pòLó ... These criteria form a hierarchy that visual psychology criterion is the lowest and shot composition

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jminc(j)

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a , F newa , j, c(j)) (25)

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Page 28: 15 2 5 - 京都大学cLd hL3]iU» QÕ½©IpX-¾LGFS Â:öA÷ c-ø=ùÎ pòLó ... These criteria form a hierarchy that visual psychology criterion is the lowest and shot composition

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(

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newa , V new

a , F newa , JM , c(JM))

− minc(JA)

a∈A

WaA Ef (X

newa , V new

a , F newa , JA, c(JA))

− minc(JB)

a∈B

WaB Ef (X

newa , V new

a , F newa , JB, c(JB))

)

− wd

(

W−→AB

a∈A WaA E ′

d(Xnewa , V new

a , F newa , JA, JB)

a∈A WaA

+ W−→BA

a∈B WaB E ′

d(Xnewa , V new

a , F newa , JB, JA)

a∈B WaB

)

− ws

(

W−→AB

+ W−→BA

)

(26)

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JA1 ��� JA2 , E �*��� � � ∆E¥

∆E = wf

(

minc(JA2)

a∈A

WaA Ef (X

newa , V new

a , F newa , JA2, c

(JA2))

− minc(JA1)

a∈A

WaA Ef (X

newa , V new

a , F newa , JA1, c

(JA1)))

(27)

�ɣ oz���

24

Page 30: 15 2 5 - 京都大学cLd hL3]iU» QÕ½©IpX-¾LGFS Â:öA÷ c-ø=ùÎ pòLó ... These criteria form a hierarchy that visual psychology criterion is the lowest and shot composition

4.3 ����������� 0� *��� ��������������� ��� 6#7�� , � -"!$#&%('�)+*-,/.)!�0 !21 � !43'!=�=gh65�#7%6'�)/* 7�9 �p:4< 6 7&� #7%6'�)7* 7�9 88?98;:<87=�*7>?,4@A1 �CB?DE;F !��7G�H;I�J4K4LNMPO?MPQ<R�S4T B 87U7V&WYX-��Z[O � V � :"!�X[#4%(')+* � '\)+*]K�L7^P*4)7O�_7Qa`+U �(bdc[e DI<J+f g7h4i �[j&k+� WYXmlonqp6rts[u(`;vwlCnxp\rt5�u6` � f+g y2Q{z7|4}

T B cC~x�7� T B � v]V&� B"D �+3\X$l�n�p2r��4S9V � e !4W�'�)9*]��������4��� ,/�4}d:"� e 8+U;X �7� T B]�4j ,�� e DZ�O �

AV � T B #�%('�)+* JA

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c(JA)A

Q

c(JA)A = arg min

c(JA)

a∈A

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newa , V new

a , F newa , JA, c(JA)) (28)

v$:$!+`4U B<DA Q����4�7�;=�*�>[V � �m��B]�(�N� O6� −→

AB���4� v�:NX N Q<�7�4�+�6=*�>$Va� �m��B Z[O �-���+� v�T B?D lonxp\rts�u6`;v]lonqp;r�5$u�`NV&�[T B

f+g4y ��  W∑

A∈N

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newa , V new

a , F newa , JA, c(JA))

+∑

−→AB∈A

W−→AB

a∈A WaA wdE

′d(X

newa , V new

a , F newa , JA, JB)

a∈A WaA

+∑

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W−→BA

a∈B WaB wdE

′d(X

newa , V new

a , F newa , JB, JA)

a∈B WaB

(29)

v�¡4¢ B<D��[� f�g4y�Qc

(JA)A (∀A ∈ N )

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(JA, c(JA)A )

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Page 31: 15 2 5 - 京都大学cLd hL3]iU» QÕ½©IpX-¾LGFS Â:öA÷ c-ø=ùÎ pòLó ... These criteria form a hierarchy that visual psychology criterion is the lowest and shot composition

Z�O �A � 1 (JB, c

(JB)B )

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AV � T B K4L� �Ar M (JA, c

(1)A , · · · , c(N )

A )V�� e !\X(Z$O �

B� #&%

'�)9*JB

V ��� T B '�)9*]K�L4^�*/)4O9_ c(JB)A

Qc

(JB)A = c

(JB)B

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) 12:#4%4¸('�)/* � '()+*]K�L ^�*4) O9_ � ¹(`

W ��� Q,���+T B,-�. V�/(��0 ��»(B 87U'1 ��cC~ � -�2�� � � Q3����:�!'#c�e�D K4L o� r M54 � '�)7*�K4L7^�*/)7O6_�V/y2Q<.��]04!;1 � � � F 84')+*?, »(B36+� V4WYX"% ���7� y�Q�.��]04!7� eaD87w� WYX91 �6c�~ �7'\)+*K+L ^�*4) O6_ � #]�':4� e v e ~;7 v �&» �<X�'�)+*]K�L7^P*4)7O�_7Q"�4}� ¢6� e v=<�>4T B<D

26

Page 32: 15 2 5 - 京都大学cLd hL3]iU» QÕ½©IpX-¾LGFS Â:öA÷ c-ø=ùÎ pòLó ... These criteria form a hierarchy that visual psychology criterion is the lowest and shot composition

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MCV@t7T , 1�2 9dO9_.if3z5 �7� 6�� ��1 � » ,:= Q � T ,>S�T ��Ar{b6V

) 13:�4� 8 �cC�E�F[V ��� i����$#"� e 6��

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c(JC)A

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27

Page 33: 15 2 5 - 京都大学cLd hL3]iU» QÕ½©IpX-¾LGFS Â:öA÷ c-ø=ùÎ pòLó ... These criteria form a hierarchy that visual psychology criterion is the lowest and shot composition

» , 7 v�i ��� � , ��� X wKn ;Rb$�lx � 3�5 �7� S+T �� r�b<;K�+"�� �� ,:= ��� #)��"�� , ;�WPX�%�; SfT o� r~b c V 0��� s � Q+q'i\��� � , 64� ��7`�#�� ��� � -� e(64� �� e�0�� �Jj�k9_K��Y�Z�E��:�@"�� ,.=e[� � ; 6�� � #��, 0 ;�Y<Z+EJ;�Y<Z'E SfT�� E\Z��6_ � �4}z#a� e ��� �� `$lonqp6r?��� j ���Rg � � = # � #�� Hob&�Xx ��� ; 1�2�8 �l97��_�@Q #0 �$���)*7V � 6�� � ��� �&5 b � `NlCntp2r���� j ���lg � � �a� � » V ���� � #�� j ���:g �8� � � � , 64� i » ,:= %�; v � ) c V 0���� � ,R=) 14

; c�~ ��K��MA\t�� , 1+2�8 �o9��6_:if3u5 � �.Q � � ,.SfT � r}b

(JA, c(1)A , · · · , c(N )

A ) c V 0 S�T i�*�: �&� v � ,)=

) 14:�J��M

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( ) 15)= �J�+M

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@Q � � ,)S�T ���r}b � � � `$l�nµpr`��� j ���Rg � ¢9� � V � v'� ,)= 7 ; 6�� � wKn ;(�G�fM A@Q�� ,>S�T

��Ar}b(JA, c

(1)A , · · · , c(N )

A )�R��"$� , � �)j�k�_J��Y�Z�E)�:��"$� , 7 v*4�,R=�S�T o�Ar{b �

(JAorN, c(1)A , · · · , c(N )

A )v?� ,:=

) 15: ��� i9���$#"� e�6&�� 5+,���J�fM

DGt�� , 1�2�8 �l97��_Ri@3u5 �7� v-� ,

( ) 16)= �J�fM

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D;�#$ ��� i����$#$�XQ � � ,>S�T o��r}b&;�# � � � `Nl�nµp

28

Page 34: 15 2 5 - 京都大学cLd hL3]iU» QÕ½©IpX-¾LGFS Â:öA÷ c-ø=ùÎ pòLó ... These criteria form a hierarchy that visual psychology criterion is the lowest and shot composition

r`��� j ��i�g � � � , # ��� :[5 � ���J��M Av��K��M

D;�#$ ��� � �e ��� � wKn ; SfT o� r}b

(JAorN, c(1)A , · · · , c(N )

A )v��J��M

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(JD, c(1)D , · · · , c(N )

D )v�;�# � � `Nlonxp;r{��� j ��i�g � � � ,����

� � e = � `Nl�nqp;r���� j �\i\g � �I� , 67� � ���K�+MD@Q$# 0 3z5

�7� S+T o�Ar{b������ e�0 S+T �R* ~;7 v � 1�2 v S�T i\Q � # ��� � �� ��� ������ , ��� � ��)��� ; ��� �� � bdc[e = g � �h� � e�6&� � � won ;��!�+M

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29

Page 35: 15 2 5 - 京都大学cLd hL3]iU» QÕ½©IpX-¾LGFS Â:öA÷ c-ø=ùÎ pòLó ... These criteria form a hierarchy that visual psychology criterion is the lowest and shot composition

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Page 36: 15 2 5 - 京都大学cLd hL3]iU» QÕ½©IpX-¾LGFS Â:öA÷ c-ø=ùÎ pòLó ... These criteria form a hierarchy that visual psychology criterion is the lowest and shot composition

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&5(�i K�� E g�: T E o2"#!% >'&)(>i k + �ĸ :��6.1.1 ÅÆ!ÇÈ>É!Ê$Ë�Ì>Í$Î�Ï�Ð$Ñ Ò$Ó|�}�~����!��~�} (/i h�|�}!~ �V�¨�xÔ k ��)��Õ F ¦ � `a o�Ö�: k 4 ����GÔ ��.�h2��×�Ø ¸ :�Ù�Ú k Ös: �!g�4IÛÜ k�Ý .2Þ a o$Ö>:>Ú¨ß a oGàIÕF ��=>ÙIo p�qr oh¡4 ¼�á (âã ��xK<e F :d�·�|�}�~�o� �$�äå> �æ ¸ h26> >Áj�ç.�Õ¡:��è$éëê>ì$í�î�ï ��xKd*+x��4�ð�b (�à o2+ �ĸ � �$�RÚ� ã o ¼�á (âã��GKd�À�L�

ñ'òó ô õ äåGKd� F �$�!��GK�ö õ �f5:��Í�Î>Ï�Ñ$÷�ø/ù¡úÄûIü ��!�ý�þ$ §$�!ýþ�. © f�:�ÿ�� k ô õ

rmax ��� oÖ/:�����.�h�4 |�}�~��!�'�s~�} (�i k ���x°lo!Ö$:�Úd�d0 A�B�K���fs:��� �������� ��!�ý!þ> dÿ�� k ô õ

rmin ��� o�Ö�:����.h�47������� k����� § � . ©�� ��0 F Õ F   ¢���k�� F Ú!��0�ABGK �!f;:"�#%$�&�' �������)(+*G±

(x, y)Kd+�:,�

31

Page 37: 15 2 5 - 京都大学cLd hL3]iU» QÕ½©IpX-¾LGFS Â:öA÷ c-ø=ùÎ pòLó ... These criteria form a hierarchy that visual psychology criterion is the lowest and shot composition

����� &�' ß a Á �¨©$ª h2�$� � o�� µ�����0 F :$g�4 xK ©ª (

x­®

Ú f5: �y � . ���x�������� ¿ ~ â K>Ú � 4¨­!® y

.�£��$:������ ¿ ~ âõ K

hist(y)Ú fÂ:,�

rwidth

K ô�õ Ú'��0�4max{y | rwidth ≤ min

y≤y′≤yhist(y ′)}K ©�ª (

y­®RÚ�f�: �

� � (sÁ �Ä. ©�ª ( �����$�$��­®��!o (�­$® x(j)k�� � ¸ �Ú�à�4 ©�ª

( ­$®XÚ�� ��|�}�~ (�¯��;° ±

Cj

Ú K�A²GµI¶GKd³!´�µ ¶;Ú�!I²GÙ>Ú�.�f:,�!³´�µ ¶ � .$Ö�: "!(|�}�~�­$®#��o�(�­!® p(j)

h�$(2)Á � 6 (>Áj�Ä.

% & : �

p(j) =

1f (j) 0 0

0 1f (j) 0

0 0 1

A(j)−1x(j) (30)

'#( 0�4d³�´�µ ¶)( «$¬­!®#��o�()�*�+-,.� bD(j) h

D(j) = M (j)(−1)p(j) −C(j) (31)

Ú %�& :!g�4I³´�µ ¶/hpKd³�´�µI¶ � (�" k

K0/�1)(2$þRÚ�� 0p = kD(j) + C(j) (32)

Ú %�& : �6.1.2 Í�Î>Ï í Ð�Ñ'Ò�Ó�3�4�Ñ65�7ð�8$o � �ç¸ '³�´�µ'¶GK ��Ú:9���0�4<;�=6>@? i K �BA �·�|�}!~ (I� w�CED b � CGF "<H�I k �!�5°KJML �NJ z�O ©2ª Ú"(<P$�RQS O©!ª k�T � ��U�V A JWLO�NJX9¡Á ( U O ³2´>µ ¶ ( � �¹¸ A |$}!~�þZY [>Õ A �»���\<?�]_^a`KY Ý 9�;�=Mb�c�d!Ö A Ú:eÕ & A (�d Ogf hai T �kj U�VmlRn Oo>ÕBp!Ú��Þ�q)(�]W^�`rJ.s:Y�t�u#vw i � sxl A �y�z Ñ!Í�Î�Ï<{�|�Ë }�~M��<� '.������ 7t�u#v�w ( � sxlB�]W^�`r� �k� J Ú�� A Ú O /�1)(�"

pÚ���t�uMv w Ú

(H�I)(ö ����Y∑

j∈J

(p − Cj) · D(j)

‖D(j)‖2D(j) − p

2

(33)

Ú %�& A � $(33)

��������� A "�� O�f�h�i T � � A���Y = Ytarget � 9��� j �"_� f�h (6���

X�� A �

32

Page 38: 15 2 5 - 京都大学cLd hL3]iU» QÕ½©IpX-¾LGFS Â:öA÷ c-ø=ùÎ pòLó ... These criteria form a hierarchy that visual psychology criterion is the lowest and shot composition

��������� {�|�� }�~M�� �� � ' ��� �6� 7��� (t�u#v�w j J � sxl�� J ( +��� O $(33)

��� V A��� Y�d�����V��f�h�i T � � A����

Y = Ytarget

� t�u#vw � (���"�d�� AYtargetD

(j) − C(j) · D(j)

‖D(j)‖2D(j) + C(j) (34)

� f�h (���X� � A �

}�~#��6� ��� � '.� �"!�#%$ �6� 7t�uMv�w i � s l���J ( �&('�Y Ogf h i T�) j U V�� V�&('�d*� A � j U O+�,�- ;�=(.�/�910 A P�2�� f�h - ���

X� � A�3

6.1.3 4576�8:9�;�<_{ |*� X, V��=1>

? '�@10�A�U�B.sxl�C f�h - P�2�Y OED(F(G(H -�I�J �RLLKNM�O -QP�R �TSU�V 3W� -�P�R �d1� V�X1U�Y1Z\[^] q [ f�h -�_ )(`(a �bB V C�c�@W]�d�ef�g�h d.\����_V V 3 f�h - ) � Y\i `�a _ ) d�� V �kjl � V 3]mdne f(g^h d�\6��o�p � V Cqc^@ [sr�t^u^vbw�xqy �7z({ w�x�y � l�| � V 3}�~��(���:��� d

αn

�b� - 0TS�@ l�| � V 3

αn =[

Xn Xn Zn Zn

]T(35)

��� dXn, Zn, Xn, Zn ��� n

d����#d - f_h -^��� ������@L� U�VX��� [

Z��� [ �n0m�"�Kl s -(�*���(� d*� V 3� - lQ| @������ rt�u�v�w(x(y ����� - 0�S7@ l�| d1� V 3

αn+1 = Aαn + ηn (36)

A =

1 t 0 0

0 1 0 0

0 0 1 t

0 0 0 1

(37)

rLt�u�v KbMqOηn

- ��� � 0d*� V � � V 3

z({ w(x(y � � - 0�S7@ l�|�� l V 3

βn = Bαn + εn (38)

B =

1 0 0 0

0 0 1 0

(39)

(40)

33

Page 39: 15 2 5 - 京都大学cLd hL3]iU» QÕ½©IpX-¾LGFS Â:öA÷ c-ø=ùÎ pòLó ... These criteria form a hierarchy that visual psychology criterion is the lowest and shot composition

z�{ �:� � dβn � � n

d�� �Wd z�{�� l�C f_h - ���k�(Xobs

n , Ytarget, Zobsn )� j �

βn =[

Xobsn Zobs

n

]T(41)

� � V 3�z({ KbMqOεn

- ��� � 0d�� V � � V 3

y(36)

] s(41)

@0 � ]�d�e f�g�h d.\ i �� - 0 S�@�op � l V [11]3

Σn|n = (I − GnBn)Σn|n−1 (42)

Σn+1|n = AΣn|nAT + Q (43)

Gn = Σn|n−1BTn (BnΣn|n−1B

Tn + H)−1 (44)

αn|n−1 = Aαn−1|n−1 (45)

αn|n = αn|n−1 + Gn{βn − Bnαn|n−1} (46)

��� dαn|m, Σn|m ����� d�� � ] s � m

d���� } d - z*{ ���n@ j C��Kl��l

αn, Σn

-� l� d�� � [Gn � ]�d�e f � M f ���_� 3 } C [ ηn

-��*������

Q�

εn

- ����� ���H ��� Z s l V�� - � � V 3

� nd�� � - z*{ @"0 � [

βn

i B.s�l V 3 y(42) � (46)

���@��(��� V �� @�0 � [ f�h - � 2 [ `�a -�� l d*� V

αn|n

���! �� V ��� i d1� V 3� -"� l ���@ [

X = (Xn, Ytarget, Zn), V = 1√X2

n+Z2n

(Xn, 0, Zn)� � V 3

6.1.4 F� #%$

& � i � l w�' @ _ ) j �q� V &(' [ _ ) w�' � ' � i ��( � V ��) i+* ���� �,*� j � f�h - ' � - - l � � S 3d��^�/.n@�0 � V�1

nmove

[�2 a @+0�� V"1 θmove

[ `T� @+0�� V"1 vmove

�N��� V 3�3�465 �nmove

d��E� ,X2 + Z2 > v2

move 7 � � [E]"8�[ � -nmove

d"�b� � @ 8 ��� [max arctan(Z/X)−min arctan(Z/X) < θmove 7 � V&�'n@��%9 - d � � 7 B;:=<�C X, Z > ��@ [ F = 1√

X2n+Z2

n

(Xn, 0, Zn)�"5 �

?�@ - ' � >�A B�C V 3 � ~ < ] - D%E >�F C � �*��&�'�@ � ["G +�- d�� �7 BH:=<�C > ?�@ - ' � � C V 3�I�J� � _ )�K�L�M �!N�@������PO �RQ a-�S ] A�C ' � � C V 3

6.2 T6UWV;XY�Z�[�\�\�]�^�_a` M hcb�d�f Nb��e�fR202 g�hi>Rj l�5 [ rHk�lnm � rpof q�rHstq%q�r > � AqC 3�u P ?�@ ��v |xw - vzy 7%{ V 3�|�}~5 C�� `�� .

34

Page 40: 15 2 5 - 京都大学cLd hL3]iU» QÕ½©IpX-¾LGFS Â:öA÷ c-ø=ùÎ pòLó ... These criteria form a hierarchy that visual psychology criterion is the lowest and shot composition

� N = 4 7!{ � [ � ~ < - � `�� � SONY � EVI-D30 7!{ V 3 R202 g�h >��] :���C�� > � 19@�� C 3 v�y��� - w } 7�� ) 5 ��� V�� s ��� 7%{ V Cc [ � )���� > 0 ≤ X ≤ 14, 0 ≤ Z ≤ 4(m � � )

s j"l+5 C 3

�19: R202 g�h���� �

z�{�M � N -�� Bn@ 8 �*� � [�� + @ � B 5 �*��� _ � K!L s r k l�m �rpo f q�r 7 } �(C z*{ M � N � [ InterSense ��!�"�# y%$�&�rHo f d�f�' �IS-600 MarkII > } � [)( �+* f > vay�,%-/. @�0 �21 U ��B1C�3 .+,�� 4 >XL = (XL, YL, ZL)

[�5 .+,�� 4 > XR = (XR, YR, ZR)s 5 � [

X = (XL + XR

2, Ytarget,

ZL + ZR

2) (47)

V =X

‖X‖ (48)

F = (cosθ, 0, sinθ)T (49)

θ = arctan(

ZL − ZR

XL −XR

)

2(50)

s 5 �76 8 5 C 3} C [ q�q�r @�� ULV z�{ M � N , � B�@ 8 ��� � [:9<; � D(F�G(H>= ��?

IP5005 > 0 �21 U C PC > }�@~5 � 6.1 7�A�B C w%C > } �qC 3 0 �2D+E D(F,�F F a � 320×240

D>G 7!{ V 3z({�M �!N ,>H�I�J @ 8 �(� � [ X@ 8 ��� � 0 ≤ X ≤ 14 > � i�@ 28

��K5 [

0 ≤ Z ≤ 4 > � iML 8��K 5 C�N

VL 8 ��� � [ 0 ≤ arctan(VZ , VX) < 2π

35

Page 41: 15 2 5 - 京都大学cLd hL3]iU» QÕ½©IpX-¾LGFS Â:öA÷ c-ø=ùÎ pòLó ... These criteria form a hierarchy that visual psychology criterion is the lowest and shot composition

�20: ��� _�� K�L�� � g ,�� 1

�21: ��� _�� K�L�� � g ,� 2

> � i>L 10� K 5 [

FL 8 ��� ���� L

0 ≤ arctan(FZ, FX) < 2π > � i>L 10�>K 5� N �(� L 8 �(� � [�� d��E� 0.5 � ��� s�� V���� L���� > ���� N

6.3 "!$#$%'&)(+*-,$.)/ d 0$132)465�798:,<;�= wf , wd, ws >?"@9A B�C:DFE"G<H ( H > ,"IKJL�M�N�OQP �SR ,�T9U d V�W�X�Y�Z�[�\^]Q_a` wf , wd, ws Vcbedgf�hjilk�monpQq � q br]Fst�uwv�x�y �zF{ V�|F} 90 ~S] LSM�P �cR uw��� N�O b��w��� ��Ven p������g� y�|����������e]��-uw��� U�� �����a��-dgf�hji�k�m�np�q��eq uw���3��� d�f�h3i�k�mon pQq���q ]���� { � � ��¡S¢F��� N�O�£g¤F¥ ]�¦�u§VQ¨ 20,21{©Fª   � yS« �S¬ A ­Q]�®�¯�°�V���]�« ��¬±{�²�³ ��y LFMFNFO�P � R a ∈ A

]�®"br��]�_�`�]Q´�µ ∑

a∈A WaA ur¶6��V � y^« �S¬ A ·3� � yS« �^¬ B ¸�]¹ ��º −→

AB ]�»�]®S¯S°^�F]�_¼` W−→ABue¶ ª  �¨ 20,21 °¼Ven p��g� ]�|��½�¾^¿ ywÀF·S°¼V �wÁ �ÃÂ�V d = 2 V wf = wd = ws = 1 b����gW�X�Y�Z�[�\�u

Y�Z3�w� � yw  ³ �gV�Äa¨�Å ¤�Æ � R {�Ç � ��° wx = wk = 1, wV = wF = 0

bQ�Q�^V ��� ]�ÈSÉ�VeÊ3Ë U {Ç � ��Ì6� � _a`�bF�§VeÍ�Î�Ï�Ð^V�Ð^Ë {�Ç ���°�Ñ�ÒÓ� ¿ �ÔSÕ ]�ÖS× �F� yw Ø �F] £�¤F¥ u ©�ª ]�°aÙ�Ú �S� y�� z V�Û�Ü ¿ Å ¤§Æ � R�Ý f ��Þ �l���d�f�h�ißk�mon pQq���qa{�Ç � �^V�¶ 1

{�©Fª  Q¶ 1 à�V ]Ninit, ]Ainit °S������-W�X�Y�Z�[�\ { [�á:â�« �^¬�ã Õ ueä z yeå�]��S� N�O�£^¤F¥ ]�« �^¬ ®'b¹ ��º ®�u�V ]Nmid, ]Amid °S���a���ÓW�X�Y�Z�[�\ { [�á:â« �^¬�ã Õ�æ VeçÕFè�é ]�� z ]�« �^¬�ã Õ ueÎ)êëåS]���� NFO�£S¤�¥ ]¼« �g¬ ®6b ¹ �Sº ®�u�V

36

Page 42: 15 2 5 - 京都大学cLd hL3]iU» QÕ½©IpX-¾LGFS Â:öA÷ c-ø=ùÎ pòLó ... These criteria form a hierarchy that visual psychology criterion is the lowest and shot composition

Å ¤§Æ � R�Ý f_^` ]Ninit ]Ainit ]Nmid ]Amid ]Nopt ]Aopt

W

|�� d wf wd ws

A 1 10 10 1 389 1218 71 135 3 4 360

A 2 10 10 1 1281 2116 293 488 6 10 236

A 3 10 10 1 2146 2821 512 777 3 5 289

A 4 10 10 1 2842 3339 764 1043 37 40 284

A 5 10 10 1 3360 3754 908 1155 16 19 294

B 2 10 10 1 1336 1973 480 693 3 5 169

C 2 10 10 1 1703 2647 513 808 11 15 400

A 2 40 10 1 1281 2116 928 1502 5 8 415

A 2 10 40 1 1281 2116 65 99 3 4 29

A 2 10 10 4 1281 2116 68 123 3 5 222

¶ 1: �F� N�O�£^¤F¥ ]�« �g¬ ® � ¹ ��º ®

]Nopt, ]Aopt °§ç Õ�ègé ]�� z ]Ó« ��¬eã ÕSæ ]�¡^¢S��� NSO�£^¤�¥ ]-« �a¬®'b ¹ �¼º ®�ugV ∑W ° ¹ ��º ]Q_a`F]´Sµ �g��� ∑W =

∑−→AB∈A

W−→AB

u¶ ª  

d½���� ª y {�� �SV ]Ninit, ]Ainit, ]Nmid, ]Amid °��ev { � � ª y ½ V ]Nopt, ]Aopt

° � y�����] ����� Ð ½�� � ��y���� { b�� ³ � � ye  ³ �^V��S] Ô�Õ � Â�V]Nmid, ]Amid b ]Nopt, ]Aopt ] � Ð�°������ ¿ ��Ô�Õ ½ � y� ^�l��°�ç Õ�èFé��� ½�� Á �§Âr�S� N�O�£^¤F¥ ]��! U u#"�W�����ÖS×�u$!%�� � ¿ � ��b�u ©� � � yw ad�f�h�ilk�mon p�&�')(�� V � y^« ��¬ ·K�+*!, ª y ¹ ��º ]�-^Ê. ®S°¼VQ�F]�« �S¬ ]�/!021 ÆF¤ b43�5 R � 1 Æ�¤ u�6 � ��1 Æ�¤ ®"bßÌ6� �N − 2

. b ¿ y�  �2 �^V87 ¿ â�b� � y^« �^¬ ·-��*�, ª y ¹ �¼º ½ N − 2.:92; { ¿ y ³�� °�ç Õ�è�é {<( yS« �^¬�ã Õ ½ Î>=��Ãye� z V1 Æ�¤ ® ½ 7¿ �ÔSÕ { °���� N�O�£^¤F¥ ]��! U ½�? =��Ãy�@ A�B ½DC �  �1 Æ�¤ ®�u �� U�� y��Sb {<(E� ç Õ ½�F µ U �'Ve��� N�O�£^¤F¥ ]G�� U {HJI �QÖg× ½Þ �l�^� ª â ¿ ySb ÑK%a�l��y� ³ �^VFW�X�Y�Z�[�\�]�_�` {DL � �¼V ws, wd

½wf

{�� � ��Ê-Ë�â ¿ ywÀM��V]Nopt,

W½N U â ¿ y � Ð {�� y� c����°�V ws, wd

½ Ê�Ë � ÀM�#O (24)½N

37

Page 43: 15 2 5 - 京都大学cLd hL3]iU» QÕ½©IpX-¾LGFS Â:öA÷ c-ø=ùÎ pòLó ... These criteria form a hierarchy that visual psychology criterion is the lowest and shot composition

U â�Y�Z U ��yw� z Va« �^¬ ½ ã Õ U �^� ª â ¿ y�� z��S� y�  ª ¿ =��§V�WX�YgZ�[�\^]�_a` { H)I ��« �^¬ ] ã Õ ½ Î>=������ { HJI ��d^f�hji�k�m�np�q��eq ½ ���3��� � yF�ab ½ ~S·�ye 

6.4 ��������� ����� �������� ���<I-JWwX�Y�ZF[�\c]�_�`�b����aW�X6be]�s�t�urv�x3y�� z�{ V � y���]�|�} 90 ~

] LgM P � R u��S� NFO b � ��� � ��V wf , wd, ws ur�S� Ul� ��d�f�h-i k�m npQq���q u��F�Ó��V��c]���]�|�} 90 ~�] L�MQP � R uen p���{Þ �l����b! ¼f� ��h#"%$'& � h�i)(+*-, {2( yrY�Z�u�Î � �n p����S�S� y�|���°�.�� �� � V �F� ]�È�É�V Ê�Ë U uwÑ�Ò���V ÍFÎFÏ�ÐgVrÐSË�°�ÑFÒ�� ¿ � b��w��Ä�¨eŤ�Æ � R ° wx = wk = 1, wV = wF = 0 V ³ � LSM�N�O P � R ] T$U ° d = 2

bQ�Q��Å ¤�Æ � ReÝ fcuwÎ �� �Ö�×�u�¶ 2 / 4{�©�ª  c��03�§V

Ef =Ef

Tend − Tstart

(51)

Ed =Ed

Tend − Tstart

(52)

Es =Es

Tend − Tstart

(53)

�g� � V������� 2.2 1 � fQ}3���W�XgY�Zg[�\�] &32��S� y Ef , Ed, Es uwnp4�65��8769 �3���^Â�] �S� yw  ³ �^V φ ° ¥ & ��: ¹�; m=<Kb��FV±n p>�65{�� ���V±n p���� ]�/!021 Æc¤ {DL'? y 769 �-@gX6A-B x(j) = (x(j), y(j))½

−1 ≤ x(j) ≤ 1 · Ç −1 ≤ y(j) ≤ 1 ]DCFEDGKb ¿ � �35 ]DH Õ �F� yw wf , wd, ws � �S���a]±��� {E( ��V Ef , Ed, Es

½ �w] ( ê { ��� ª y�·cu £�¤¥ { ����¨ 22 / 30{�©�ª  S¨ 22 / 24 àw]�I��KJS°S���a��� wd = 10, 20, 30, 40

] 4 L � , ws = 10, 20, 30, 40 ] 4 L � u�M�` Õ = � � 16 L � ] Ý f � wf u�^� Uß� � Ô^Õ ] Ef ,Ed,Es ]����6uw¶ ª  �¨ 25 / 27 à�]NI��OJa°a�e�����wf = 1, 2, 3, 4 ] 4 L � , ws = 10, 20, 30, 40 ] 4 L � uNMa` Õ = � � 16 L �] Ý f � wd u���� U�� � ÔSÕ ] Ef ,Ed,Es ]��^��ue¶ ª  �¨ 28 / 30 àQ]DIF�Jc°g������ wf = 1, 2, 3, 4 ] 4 L � , wd = 10, 20, 30, 40 ] 4 L � uPMS` Õ = �� 16 L � ] Ý f � ws ue�g� Ul� � ÔgÕ ] Ef ,Ed,Es ]��S��uw¶ ª  

38

Page 44: 15 2 5 - 京都大学cLd hL3]iU» QÕ½©IpX-¾LGFS Â:öA÷ c-ø=ùÎ pòLó ... These criteria form a hierarchy that visual psychology criterion is the lowest and shot composition

E

Ef

Ed ws = 0 ws = 10 ws = 20 ws = 30 ws = 40

Es

φ

0.5542 0.5542 0.5542 0.5542

0.4050 0.4050 0.4050 0.4050

wf = 0 N/A 0.03302 0.03302 0.03302 0.03302

0.1161 0.1161 0.1161 0.1161

2.21 2.21 2.21 2.21

0.5199 0.5686 0.5442 0.5297 0.5297

0.2932 0.4128 0.4082 0.3921 0.3921

wf = 1 0.05429 0.03905 0.01933 0.02144 0.02144

0.1725 0.1168 0.1166 0.1161 0.1161

0.03 0.03 0.03 0.22 0.22

0.5302 0.4990 0.5684 0.5159 0.5442

0.3059 0.3418 0.4128 0.3700 0.4082

wf = 2 0.05174 0.03995 0.03881 0.02917 0.01936

0.1725 0.1173 0.1168 0.1168 0.1166

0.03 0.03 0.03 0.03 0.03

0.5694 0.5676 0.4991 0.5157 0.5684

0.3018 0.4127 0.3416 0.3698 0.4129

wf = 3 0.07284 0.03844 0.04011 0.02918 0.03874

0.1948 0.1164 0.1173 0.1168 0.1168

0.22 0.03 0.03 0.03 0.03

0.5327 0.5676 0.4993 0.5684 0.5684

0.3114 0.4127 0.3416 0.4129 0.4129

wf = 4 0.04882 0.03839 0.04037 0.03877 0.03877

0.1725 0.1164 0.1173 0.1168 0.1168

0.03 0.03 0.03 0.03 0.03

¶ 2: W�X�Y�Z�[�\S]�_�` { ( y p�� (wd = 0)

39

Page 45: 15 2 5 - 京都大学cLd hL3]iU» QÕ½©IpX-¾LGFS Â:öA÷ c-ø=ùÎ pòLó ... These criteria form a hierarchy that visual psychology criterion is the lowest and shot composition

E

Ef

Ed ws = 0 ws = 10 ws = 20 ws = 30 ws = 40

Es

φ

0.5542 0.5542 0.5542 0.5542 0.5542

0.4050 0.4050 0.4050 0.4050 0.4050

wf = 0 0.03302 0.03302 0.03302 0.03302 0.03302

0.1161 0.1161 0.1161 0.1161 0.1161

2.21 2.21 2.21 2.21 2.21

0.5044 0.5327 0.5297 0.5297 0.5297

0.3518 0.3774 0.3921 0.3921 0.3921

wf = 1 0.03569 0.03861 0.02144 0.02144 0.02144

0.1170 0.1168 0.1161 0.1161 0.1161

0.03 0.03 0.22 0.22 0.22

0.5027 0.4953 0.4953 0.5702 0.5702

0.3487 0.3442 0.3442 0.4325 0.4325

wf = 2 0.03550 0.035 0.035 0.02144 0.02144

0.1185 0.1166 0.1166 0.1163 0.1163

0.03 0.03 0.03 0.03 0.03

0.5959 0.5317 0.4978 0.4956 0.4956

0.3629 0.3769 0.3442 0.3442 0.3442

wf = 3 0.08426 0.03830 0.03596 0.03478 0.03478

0.1487 0.1164 0.1176 0.1166 0.1166

0.12 0.03 0.03 0.03 0.03

0.7368 0.4938 0.4938 0.5191 0.5191

0.5037 0.3377 0.3377 0.3696 0.3696

wf = 4 0.08967 0.03838 0.03838 0.03307 0.03307

0.1435 0.1176 0.1176 0.1164 0.1164

0.19 0.03 0.03 0.03 0.03

¶ 3: W�X�YFZ�[�\^]Q_a` { ( y p�� (wd = 10)

40

Page 46: 15 2 5 - 京都大学cLd hL3]iU» QÕ½©IpX-¾LGFS Â:öA÷ c-ø=ùÎ pòLó ... These criteria form a hierarchy that visual psychology criterion is the lowest and shot composition

E

Ef

Ed ws = 0 ws = 10 ws = 20 ws = 30 ws = 40

Es

φ

0.5542 0.5542 0.5542 0.5542 0.5542

0.4050 0.4050 0.4050 0.4050 0.4050

wf = 0 0.03302 0.03302 0.03302 0.03302 0.03302

0.1161 0.1161 0.1161 0.1161 0.1161

2.208 2.208 2.208 2.208 2.208

0.5402 0.5297 0.5297 0.5297 0.5297

0.4056 0.3921 0.3921 0.3921 0.3921

wf = 1 0.01800 0.02144 0.02144 0.02144 0.02144

0.1166 0.1161 0.1161 0.1161 0.1161

0.03 0.22 0.22 0.22 0.22

0.5246 0.5274 0.5434 0.5297 0.5297

0.3719 0.3747 0.4084 0.3921 0.3921

wf = 2 0.03573 0.03593 0.01848 0.02144 0.02144

0.1170 0.1168 0.1164 0.1161 0.1161

0.03 0.03 0.03 0.22 0.22

0.5296 0.5297 0.5297 0.5297 0.5415

0.3750 0.3751 0.3751 0.3751 0.4071

wf = 3 0.03783 0.03778 0.03778 0.03778 0.01784

0.1168 0.1168 0.1168 0.1168 0.1166

0.03 0.03 0.03 0.03 0.03

0.5044 0.5328 0.5328 0.5328 0.5328

0.3518 0.3774 0.3774 0.3774 0.3774

wf = 4 0.03569 0.03858 0.03858 0.03858 0.03858

0.1170 0.1168 0.1168 0.1168 0.1168

0.03 0.03 0.03 0.03 0.03

¶ 4: W�X�YFZ�[�\^]Q_a` { ( y p�� (wd = 40)

41

Page 47: 15 2 5 - 京都大学cLd hL3]iU» QÕ½©IpX-¾LGFS Â:öA÷ c-ø=ùÎ pòLó ... These criteria form a hierarchy that visual psychology criterion is the lowest and shot composition

¨ 22 à�]NI��OJ��c° Ø�� bF� ��� ; ½ � ] � Ð^u�� � � yw  Ç�³ � V wf

uwÊjË�â��f ª yF�^b { (2� V Ef

½� 7 ª y � Ð {^� yS�ab ½ � %^yw �� �°�V Ef

½ (2� N U â ¿ y ( ê Å ¤§Æ � RwÝ f ½ ÎE=e� y�� z��a� y�  ¿��Ó¿�QV 4.3 1 ��� xa� ( ê { V /�021 Æ�¤ ]�1 Æ�¤���� Å ¤�Æ � R ° O (29) ]�-N � {2(8 ��$!%�� � Ef

{���ª yr_�` wf

½ Ê�Ë�â ¿ y���b { (�� V - N �S]��{ V Ef

½E{ $>%�y p � ½ Ê3Ëaâ ¿ y�� zF�^� yr ³ ��¨ 24 à�]DI��>J�� ½ Ø�� bQ������ ½ � ] � Ðcu�� � � y���br·6�QV

wf ueÊ-Ëaâ��af ª yF�cb { (E� V Es

½��� ª y � Ð {g� y��Sb ½�� %^ye ����°�V O (19)

(M� O (18)½

09 � �g� yF�Sb�·��QV wf ] �!� ° O (24) ] �� u���� ª y�� z�� « � � ] ã Õ ½! � ��{ â�â ¿ yw� z��S� yw 

ws

{�Ç � ��° � ¨ 30 à�]�I��KJ"� ½ � ; ½ � ] � Ðcu#� � � yF�Sbe·-� �ws u�Ê�Ë�â��Sf ª y���b { (���� Es

½� 7 ª y � Ð {�� yF��b ½!� %Syr §� �° � 6.3 1 ��© � � ( ê {�� ws

½ Ê�Ë�â ¿ y�b � ����$�% £^¤�¥ {2L � � ¹ �º ]w_�` ½:N'& â ¿ y ( ê { « � � ] ã Õ ½ Î!=��$y�  ¹ ��º ]�_a`�° ��H�ªy *�,�]�(g�4��® �eª ¿ =�� � 1 Æ�¤#) �+* %�uw¶Ó� � � y�� z,� Ö�×KbQ��1 Æ�¤-) �+* %�]6��® ½� 7 ª y ( êw« � � ] ã Õ ½ Î:=e��y�� zF�^� ye  ws

] �!� { (E��� �D�,.�/�]�.0/�1�2�� �  Es ] 7 ª yF�Sb ½ © & �Ó�� ³ � � ¨ 29 à�]DI��>J��c°�� ; ½ � ] � Ð�u�� � � ws

½ ��� ª y�b Ed

½ 7 ª y � Ð {S� y� ����a° � Ed °�1 Æ�¤ ] ) �3* %54�b { 1�2 ½ Î:=���y±�z � 1 Æ�¤�) �+* %�]6��® ½� 7 ª y��Sb { (2��� Ö�×"b���� Ed

½� 73��b Ñ�%a�l�Ãy±·-� �S� ye � ����]�Ö�×�·3� � ���6.�/ {���ª y�.�/�1"2F�S]Q_^` {���H �w�SdFfQh3i km n p�q��±q ½ ���Ó� � � yF�cb ½ ~c·�y� 

6.5 798;:6<>=@?BA �DC'E9F GIH;J"K'LNM'O'M �QPSRT�U6V�W�X�Y[Z#\�]�^ %5_a` b0c0d,e V ( f��hg�i &kjal�m n0oQprq�sut�vw ` w@x�y�z Y{Z � V}|�~ `������ su���!���}� c��S� V��"��YDZ c5��� o��I�~ ` oSp������ V � f���� x#��� l��6.5.1 ���"������ 6¡�¢�£a¤ d ¢5¥�¦§�¨�©�ª _a`�b�c�«9¬ d ­�®�¯,°�±S­-c�²0³ x#´�µ Z l"¶ V �5· Z�¸ c�¹�º90 »�c §�¨ _D`�b x \�]"©"ª ­�¼�½ z e"½ � m"n5oSpkq�s¾t�v w ` wax g�i ¼��¿ c ¸ c�¹�º 90 »6c §�¨ _D`Àb x�Á ¯[­�¼�½ oÂ�I� ~ ` oapÃ���"� V � Z ���

42

Page 48: 15 2 5 - 京都大学cLd hL3]iU» QÕ½©IpX-¾LGFS Â:öA÷ c-ø=ùÎ pòLó ... These criteria form a hierarchy that visual psychology criterion is the lowest and shot composition

0.33

0.34

0.35

0.36

0.37

0.38

0.39

0.4

0.41

0.42

0.43

0.44

0 0.5 1 1.5 2 2.5 3 3.5 4

Ef

wf

Ef

�22: wf c ���ÀV � Z Ef c ���

0.015

0.02

0.025

0.03

0.035

0.04

0 0.5 1 1.5 2 2.5 3 3.5 4

Ed

wf

Ed

�23: wf c ����V � Z Ed c ���

0.116

0.1162

0.1164

0.1166

0.1168

0.117

0.1172

0.1174

0.1176

0.1178

0 0.5 1 1.5 2 2.5 3 3.5 4

Es

wf

Es

�24: wf c ���ÀV � Z Es c ���

43

Page 49: 15 2 5 - 京都大学cLd hL3]iU» QÕ½©IpX-¾LGFS Â:öA÷ c-ø=ùÎ pòLó ... These criteria form a hierarchy that visual psychology criterion is the lowest and shot composition

0.33

0.34

0.35

0.36

0.37

0.38

0.39

0.4

0.41

0.42

0.43

0.44

0 5 10 15 20 25 30 35 40

Ef

wd

Ef

�25: wd c �"��V � Z Ef c ���

0.015

0.02

0.025

0.03

0.035

0.04

0.045

0 5 10 15 20 25 30 35 40

Ed

wd

Ed

�26: wd c ���ÀV � Z Ed c ���

0.116

0.1162

0.1164

0.1166

0.1168

0.117

0.1172

0.1174

0.1176

0.1178

0 5 10 15 20 25 30 35 40

Es

wd

Es

�27: wd c ����V � Z Es c ���

44

Page 50: 15 2 5 - 京都大学cLd hL3]iU» QÕ½©IpX-¾LGFS Â:öA÷ c-ø=ùÎ pòLó ... These criteria form a hierarchy that visual psychology criterion is the lowest and shot composition

0.32

0.34

0.36

0.38

0.4

0.42

0.44

0.46

0.48

0.5

0.52

0 5 10 15 20 25 30 35 40

Ef

ws

Ef

�28: ws c ����V � Z Ef c ���

0.01

0.02

0.03

0.04

0.05

0.06

0.07

0.08

0.09

0 5 10 15 20 25 30 35 40

Ed

ws

Ed

�29: ws c ����V � Z Ed c ���

0.115

0.12

0.125

0.13

0.135

0.14

0.145

0.15

0 5 10 15 20 25 30 35 40

Es

ws

Es

�30: ws c ���ÀV � Z Es c ���

45

Page 51: 15 2 5 - 京都大学cLd hL3]iU» QÕ½©IpX-¾LGFS Â:öA÷ c-ø=ùÎ pòLó ... These criteria form a hierarchy that visual psychology criterion is the lowest and shot composition

d 1 2 3 4 5

ρ 1.78 12.08 26.16 37.91 46.98

φ 0.02 0.03 0.33 0.07 0.10

E 4.763 3.658 4.941 4.299 5.373�5: d c v��

x���� l�� §�¨"©�ª _a`�b�c0«Q¬ dx

1, 2, 3, 4, 5 ­ ��� ¬�� �5°�± �"����� c� V � e�½�� wf = wd = 10, ws = 1 ­�¼�½ � oSp+q}s����,n ­ oQp+q}s�� ic � x�� ¼"� � ������� `�b�� wx = wk = 1, wF = wV = 0 ­0¼ l��t�v �!� V�" ¼�½�#%$,b0`�& ��� �(' z ¬ j[l)�)� c+*(, x � Y #($,b0`oapkq}s¾�

ρ � |�~ `"�0�6� s � φ �.-��0/�1 (14) 2 n º{¼ l °�± ����3 x ���2 4�5 � ¼ l 3 2�· Z

E =E

Tend − Tstart

(54)

x �5V 6"Y �

ρ, φ ��e87 j:9�t�v���� V "�YDZ *�, (%) 2�· Z �dx�;�<�= YaZ�> ­ V � f §�¨�©�ª _ `6b�c ?�@ � ;�<�= � Z�> ­�2 T�UÀVW�X ¼ l \�]�©�ª�V � ACB jD� � � l §�¨�©�ª _ `Àb � X:D j ZFE , � ��G YZ l"¶ ��#�$Àb�` oSpkq}s¾� ρ

� ��G Y@Z �dx8;H<C= Y@Z+> ­I� §�¨"©�ª _ `

b�­�¼�½�J)K D j ZML�N�O c ��G}x�P)Q Y�Z l�¶ � y�R � S °�± ����3 E9

T ¬ = � Z!> ­ ��U�V 2 < Z ��7H2 · Z � � ��� 2��)W�c+X Y �CZ D j � e �W"c\[:]8� ^C_�c6�B� V+` K D j Z � 6.3 a6c � 1 2 6 ¬ j l �S� V d

� ��GY@Zb> ­ V � f �h°�± �"����� V �dc =+e `�fhg�,�i6c e `!fhj�� ��G Y@Z � �k ,�l�m6c l�¶ c e `)fhg�,�i�Bb2 e `)fhj V n °@¬ j ½�e � e � � B f � k,�l�m6c l�¶ c e `)f8g�, �)o =��p j ½"e Z � °5± ����3 x Y�q@¬r� Z e `fhg�,!� °�± ������� V �+c = e `)fhg�,�s�[6c�tHu+2 �!p j ½"e Z l"¶ � k,�l�m�c l"¶ c e `!fMg�,v�\w�x�y V °�± �"��3 x{z � ¬|� Z � W0c l"¶ � d

���G ¼�½ 9 °�± �"��3 � T ¬ = � D � e@­ ` K D j Z � 6.3 a!2 } µ l �Q� V �& ��� j x���G ¬�� j�~ k , ����� ¬ j Z l�¶ � d c ��G V � � ½�°�± ����39 T ¬ = � Z ­ ` K D j Z �6.5.2 �����\�������6¢������!��¥�¦����� J!K!�{�!� ©�ª � ¹�º!� ¸ » � · l ��� x � � ¬��,½{� m�n0oap�q�st�v w���wax g�i ¼!� ¿�� ¸ � ¹�º 90 » � §�¨d� �!� � " ¼�½ oS�-� ~ � oap

46

Page 52: 15 2 5 - 京都大学cLd hL3]iU» QÕ½©IpX-¾LGFS Â:öA÷ c-ø=ùÎ pòLó ... These criteria form a hierarchy that visual psychology criterion is the lowest and shot composition

¹�º ¸ j 1 2 3 4

ρ 12.08 10.62 9.47 8.50

φ 0.03 0.03 0.45 0.47

E 5.826 5.621 4.010 3.936�6: J!K)�F��� ©�ª � v��

� x�� � l�� °0± �����!� � � � ��� ½!� wf = wd = 10, ws = 1 ­5¼�½ �� ¼�� � ������� �!� � wx = wk = 1, wF = wV = 0 ­�¼ l0����� x � 6�

6�� �J!K!�{�!� ©�ª � � K!� ��� � ½�� ρ

���� ¼�½ � = > ­#� D ��� � ©�ª xJvK�� > ­ � ���� t�v�� ��� D j � §�¨�©�ªd� �!� � ���!�� �� ¼ l ��� ©ªv� � ��E , ���� ¼�½ � = > ­ � »À�%� � B l � E

���� ¼�½ � = > ­�� D��� ©�ª!� " ¼�½ y�R ��S�� 2 � � > ­ � »�� � �

6.6 �����������������! �"�#�$�%� � ©�ª ­5¼�½�JvK�� §�¨"©"ª�� �v� ��¹"º�& ¸ »[­�¼��0W('(^*)�� 6.5.2 a­,+.-0/�1 �32 x�z � ½��54 � �#¹�6 � ���87:9 � ¹�º ��" ¼�½<; 2>=!?A@CBD�E w ��w[xGF�H ¼5I � F�H ¬J':I w �hw W0'LKM' � " ¼�½��07�¹L6 � ����¹º � § ¨d� ����x J�K =Q�h� ~ � =�?�� x���� I ����� x � 7

� 6�� � +N-O;2*=P?Q@LB D�E w �hw�x�z � I ��� x +�w�RD�S+L- §�¨d� ���"x 9 ­ � =B�-�~ � =P?������ x��,� I ��� x ++w � � 6�� �� 7�' � E , 9 � "�T�U�V 2�·H� §�¨d� ��� ­W; 2S=!?A@CB D�E w �hw � "R � � E , � #�$ ��� =P?X@NB¾� ρ

��YH9 T ¬ = �[Z "*T�U*V 2+� ;H<�= � � ½� � � > ' ��¹�6S\ ­ ���:D ' �F��� ©�ªd� �!� � 4 � � ½ � � > ­ x 6 ¼�½� � �¹�6 A,C,E

�+��� ½����.4�5 � ¼OI�°�± ����3 E�\�L� ½ 9 §�¨d� �)� ­

; 2O=!?J@]B D*E wH�-w � " R ¼�½ � � E , ��Y 9 T ¬ = � � ½�-��� §0¨d� �� � y�R ¼GI�; 2O=�?J@]B D*E wH�Ãw � F*H ¬^'�½ � � > ­ � »��H� � ¹]6 B,D�\�]� ½ E

� §�¨d� ��� ­5; 2>=P?_@LB D�E w ��w � " R � � E ,�^�)v2 T ¬= � � ½ � �8[ ]6­0¼�½��+#!$ �d� =�?Q@LBu��`�a � � ���0� « =cb Qd�K ¸j ��6� = � #� ��� ­�¼�½ � Ed, Es

� 3 � T ¬ = � � ½ � � > ­ ��e*f D '

47

Page 53: 15 2 5 - 京都大学cLd hL3]iU» QÕ½©IpX-¾LGFS Â:öA÷ c-ø=ùÎ pòLó ... These criteria form a hierarchy that visual psychology criterion is the lowest and shot composition

w �-w w ��w w �-w w �-w w �hw§�¨d� ��� ¹L6 A ¹L6 B ¹�6 C ¹�6 D ¹�6 E

ρ 14.98 30.43 34.98 52.95 25.11

¹�6 A φ 0.03 0.03 0.03 0.03 0.03

E 3.516 4.493 4.961 5.113 4.372

ρ 81.25 29.35 81.10 65.19 61.01

¹�6 B φ 0.17 0.03 0.00 0.00 0.00

E 6.011 6.599 5.740 5.649 6.250

ρ 37.36 44.73 12.08 87.91 31.45

¹�6 C φ 0.05 0.05 0.03 0.03 0.05

E 5.876 5.091 3.658 4.457 4.358

ρ 50.87 39.29 84.05 20.78 48.06

¹L6 D φ 2.52 0.22 3.94 0.26 0.15

E 7.526 6.005 6.429 4.732 7.476

ρ 60.65 46.62 72.36 60.21 29.60

¹�6 E φ 0.43 0.07 0.07 0.39 0.30

E 6.103 5.687 5.877 5.608 5.826�7:"�� \ ­ � �!� ©�ª � D F�H ¼WI w �-w � y�z ���

48

Page 54: 15 2 5 - 京都大学cLd hL3]iU» QÕ½©IpX-¾LGFS Â:öA÷ c-ø=ùÎ pòLó ... These criteria form a hierarchy that visual psychology criterion is the lowest and shot composition

� � � � p�� ��#�$ �\� =�[email protected] x�� z � � > ­ � ���°0± ����3 � T ¬ = ������� � ·��5I ¶ �� ���2��(#!$ �d� & ��� x §�¨�©�ªd� ���"x A�� e��� �%Z � � D � � � I E , �À��� )�� � 2�� � ½ � � � �*; 2S= ? @LB DE�� � ��� F�H � ��� ��� � & ��� ­G+! ��"# & ��� �!$�% ­5¼�½�s![ � �� > ­ � ` K D ' � �

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[1] ������� , “�� �� D���������������� 5�� "! \�] D$#&%�')(�*�+-, ”,.�/�0�1�0�1�2�3�4�1-5�6�7�8:9�;�<, 2000

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”, \-] 34_^[`-1[a-;_<b (D-II) c vol.J85-D-II, no.4, pp.594-603,

2002

[3] dfe)�-g , hi@-jk ,0mlin k , “o �&prq[st_umviq V)W�X YZ�uBw�s-xfy+�z�{�|r}�~�� M[��������X��B���-� t���y ”,

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[4] ������ ,0����)�

, �����f� , � l��-� , “�r�)S�U QB �¡B¢ S�U-IJ Q �£ �[¤ `¥'�(�¦�§ ”, \¨] 3�4�^�`¨1�a¨;�<�b (D-II), Vol.J.84-D-II, no.2,

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[5]l hi© , ª-«©f¬ , ­m�)®-¯ , “ ° �±q³²µ´-%¶ ���_�-� tf�·Qf¸-¢�% X u¨tq V�¹�º�X '�(�* ”,

3�4�» K 1-a�5�6�4�� CVIM121-10, pp.73-80, 2000

[6] S.A.Hutchinson, G.D.Hager, and P.I.Corke. A tutorial on visual servo

control. IEEE Trans. Robot. Automat., 12(5):651–670, 1996.

[7] ¼�½�¾ , ¿�À¾$Á�Â�=f�B��� Qr¸�¢ Á�Â�=$Ã�ÄÆÅ ² V)Ç�ÈfÉ t Är\�] 34^�`�1�a�;�<�bD-II, Vol.J83-D-II, No.4, pp.1110-1118, 2000

[8] ª Ê�Ë , Ì lÎÍ�Ï , Ð�Ñ Ò�Ó , “Ô q"�ÖÕ���²×w ØÙt±Ú�ÛÙÜBÝBt-x�Þ�ßàQ¸�¢·% á �fV #&%Y�Z�+�, ”, âäã�å[W Í�3�4 �çæRè�é u�qëê�ìrí�x�î�ï;�<�ð,pp.101-106

[9] ñ:ò�ó � � éÆô�õ qö , ÷�ø�ù�ú , û�ü&ý�þ�ÿ , “'�� V <B, ”, ��������

,1980

[10] �� q�Ø�[t����Ùì�v�q�� (� ��� �� � ò�� t[u v�q Ý ) ­m��®�¯ �����U� ���� ¾�

[11] �ø�� , “ � �"!�q"�$# è �%��t ”, & |(' (1977)

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