Evaluation of Robust Fitting Based Detection

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Transcript of Evaluation of Robust Fitting Based Detection

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−1

−0.5

0

0.5

1

02468101214161820

0

0.1

0.2

0.3

0.4

0.5

α

s

Parameters Fitting relative error

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4

0.45

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0 5 10 15 20 25 30 35 400

0.5

1

1.5

2

2.5x 10

4 First component variation of New

image index 0 5 10 15 20 25 30 35 40

0

10

20

30

40

50

60

70

80

90

100Second component variation of New

image Index 0 5 10 15 20 25 30 35 40

0

0.1

0.2

0.3

0.4

0.5

0.6

0.7Last component variation of New

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{ -H7 � è -HGHG0þ@ý�üWN\ASüP;Bý%üWE8;]�jA2û�ü%üPE@ASü�üWE8;�üWE@NW;B;�û�/6ú_Ia/658;�5�üPýÐ/��FAêýWA2ú_;Òú£ASüPNW-�5C�>A2NWÿ-05£üPE8;LýWA2ú:;e+A>ÿ � K(E4þ@ýB=F®-0üWE8/6þ.üYGH/6ýPýV/��¿72;B58;�N\AOGH-~üvÿ6=OüPE8;ÐA25@AOGHÿ.ý�-RýFûBAO5£ZJ;%IJ;�N��g/2NPú:;xT/25U/258GHÿ²üPE8;L/@N\ývü*T.-RAO76/25@A2G·û�/2ú_IJ/258;B56ü �{ -H7 � ü ýWE8/�*ý(üWE@;d�SAOGHþ8;�/���üWE8;N/aNPý�üÐû�/6ú_Ia/658;�5�üÐ/�� üWE8;:ý�-�5û�/25^/JT.;�5@û�;ÒAOI@I8NW/U5.-01ú_AOüW-H/25@ýe�g/2N à ����� g A25@T · � g � K(E8;xý�;]�SAONP-HAOüW-H/25@ýÐAONP;ÒNP;�GRASüW-3�2;BG0ÿýW-0ú_-HGHA2NB=JZ8þ.üLüWE@;/2N\T.;�N\ý+/�� ú_A27258-0üWþaT.;�û�AO5l�SAONPÿ²72NP;BAOüWGHÿ=�gNW/6ú /658;�AOI8I8NP/U5.-0ú£AOüW-H/25£üP/²AO58/2üWE8;BN �935�KMAOZ � [ =#üPE8;NW;BGHAOüW-3�2;ê;�NPNW/6NPýd®-~üPE�NP;BýWIa;xû�ü_üW/´üWE@;UNP;6�g;BNW;B5@û�;Uú£ASüPNW-�5 �g/2N:üWE@;T.-7b·;�NP;�5�üÒA2I8I8NP/U54-Hú£ASüP;_û�/��SAONP-HA25@û�;:ú£ASüWNP-Rû�;Bý�A2NW;£û�/2ú_I@AONP;BTù®-0üWEç~ à � · ��� ~H��� g � g � �,4-0ú_-HGHA2N_NW;xý�þ8G0üPý_A2NW;U/2Z.ü\AO-H58;BT �g/2N_/OüPE8;�N�~ à � · �Ò-H5�üWE8;X�SAOGHG0;Bÿ­/�� { -H7 � Ç ®E8;BNW;É/8üPý

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0 5 10 15 20 25 30 35 400

2

4

6

8

10

12

14

16

18x 10

4 First component variation of Simple

image index 0 5 10 15 20 25 30 35 40

0

2

4

6

8

10

12x 10

5 First component variation for Cipra

Image Index 0 5 10 15 20 25 30 35 40

0

0.5

1

1.5

2

2.5x 10

4 First component variation of New

image index eg}>p e�¡4p e���p

0 5 10 15 20 25 30 35 400

1

2

3

4

5

6

7

8x 10

4 First component variation of Huber1

Image index 0 5 10 15 20 25 30 35 40

0

0.5

1

1.5

2

2.5

3x 10

8First component variation of Huber 2

image index0 5 10 15 20 25 30 35 40

0

1

2

3

4

5

6

7

8

9x 10

10 First component variation of Huber 3

image index eg{�p e�z�p eR¤vpéiê3ë È�i@È n Ì�z\�3zV�\w2tv¢>z\�¦tvz\Ê6tvzP�3z\�Sy�yvÌ6z Ü�tv�Dy#�\ux��Ê.uB��z\�Sy¿u�¤.yvÌ�zV{6�Ëé8zPtvzP�Oy��\uB�6Ü4{6z\�6�\z���}�y3tv���\z\�/jbek;lnm&o/p f eg}>pWq;beq l osr<t e�¡4pWq�b dufhg e���pWqEbevxw�y f r ] eg{4pWqEbevxw�y f r � e�z�p¿}��4{zbevxw�y f r ¬ eR¤�pWÎBÝz �6uByv���\zyvÌ�}�y*yvÌ�z�¢x}�|~w6z\�Ð}�tvz�uB¤F{2�Ëé8zPtvz\�Sy*uBt�{2zPtv�Ðu�¤V��}B¯B���Ëyvw4{2zxq@¡�w6y®yvÌ6zP�ê¢x}�t3�ê����}��3�~����|~}�t%É�}\�SÎn Ì6���FzP�Dyv�~��}�yv��ux�_���FÊ.zPt3¤Ru�tv��z�{Ò¤HuBt%ï|{ �~} �L}B�4{ { �SÎAONP; A2ûBû�þ8N\ASüP; � K(E@; NP;�GRASüW-3�2;�;BNWNP/2N�-HýUû�A2GHû�þ8GHAOüW;xT�®-~üPE Q�� ) Ù Û ¹ )^�h�h��� Ù Û �) Ù Û � ) �<�h��� Ù Û � K(E4þ@ýB= g �����û�/2NPNP;BýWIa/65@T8ýJüW/(üPE8;i+/2N\ývü�ûBA2ýW;_®E8;�NP; üWE@;i�SAOGHþ8;�/���'�� Õ -Rý2�jA2N�AU+A>ÿQ�gNW/6ú�üWE@;VNW;��g;�NP;�5@û�;�>A2G0þ@;�' -�6�� ´ � Õ � K(E8-Rý%üPAOZ@G0;:ý�E8/�*ý%üWEaASüÐ/658GHÿ�'*O 6<P A6û\E8-0;��2;xý%A²þaýWA2Z8G0;�;Bý�üW-Hú£ASüW-H/25 /��üWE8;�û�/25�/aT.;�5aû�;%ú£AOüWNP-75 � K(E@-HýY-HýYAOGRý�/Ò-0GHG0þaývüPNPAOüW;BT_Z4ÿ { -07 � ü ®E8;�NP; à �ç��� g AO5aT · � gAO5@T�®E8;�NP;�/658G0ÿN'*O 6<P E@A6ýÒüPE8;û�/2NPNP;Bû�ü�/2N\T.;�N�/��%ú£AO7658-0üWþ@T.; � � ý_A û�/25@ýW;�.�þ8;B5@û�;6='9O 6<P AOI8IJ;BA2NPý+üP/_Za;�ú_/2NP;LNW/6Z8þ@ý�ü(üWE@A25�üPE8;�/OüPE8;�N*A2I8I8NP/U54-Hú£ASüP-0/65@ý �935 { -H7 � � =�üWE8;êNW;BGHAOüW-3�2;£;�NPNP/2N�ZJ;�ü�+;�;�5ÞüPE8;;/aNPý�ü�û�/6ú_Ia/658;�5�üÒ/��+üPE8;�û�/25^/aT8;�5@û�;ú_AOüWNP-75�' O 6<P AO5@TUüPE8;:NW;��g;�NP;�5@û�;�-HýÐT.-Rý�I8GRA>ÿ2;xTl�g/2N�T.-7b·;�NP;�5�ü0�>A2G0þ@;BýÐ/�� à AO5@T · �n{ /6NüWE8;/OüPE8;�N²û�/2ú_IJ/258;B56ü\ý�=�ýW-0ú_-HGHA2N_NW;BGHAOüW-3�2;U;�NPNW/6NÒú£AOI@ý£A2NW;U/2Z8üPAO-H58;xT � K(E8-Hý_NP;�GRASüP-��6;;�NPNW/6NYú£AOIUý�E@/�*ýFüPE@ASü®A:NW;BGHAOüW-3�2;Ð;�NPNW/6NY/�� g �V�ç-05êüWE8;L�4-Rû�-H58-~üvÿ£/�� · � g � è �g/2N ÃN� �

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−4 −3 −2 −1 0 11

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2

2.5

3

3.5

4Relative error between estimated matrix and reference matrix

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