Spatio Temporal Feature extraction using harris 3d corner detector

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    HniturnMntnftolk " Cirros

    Flrknr 6MMntnftlr

    Wo9?=7=

    Hnaruiry 10$ 1796

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    Flktnkts

    Flktnkts

    H n i t u r n M n t n f t o l k " C i r r o s F l r k n r 6 M M n t n f t l r 6

    7+9 Oktrlmuftolk + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +6

    7+1 Vpitol"]nbplrid Hniturns + + + + + + + + + + + + + + + + + + + +6

    7+1+9 Blmnd lh Vpitol"tnrbplrid Obi`n Vnqunkfn + + + + + +=

    7+6 Flbputitolk lh bitrox piribntnrs + + + + + + + + + + + + + + +8

    7+6+9 Bitrox Wiribtnr I$A$F+ + + + + + + + + + + + + + + + + + + +8

    7+6+1 Bitrox piribntnrs M$N$H + + + + + + + + + + + + + + + + + 07+6+6 Obpdnbnktitolk Mntiods + + + + + + + + + + + + + + + + + + +

    3

    7+= Lutput + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +3

    7+> Huturn Plrj + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +?

    7+8 Flmn + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +?

    Qnhnrnkfns + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +9 7

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    Hniturn Mntnftolk " Cirros Flrknr 6M Mntnftlr

    Hniturn Mntnftolk " CirrosFlrknr 6M Mntnftlr

    7+9 OktrlmuftolkOk tcos irtofdn wn wodd dllj it tcn nxtnksolk lh cirros flrknr mn"tnftlr fiddnm cirros 6M mntnftlr usnm tl mntnft rlaust spitol

    tnbplrid flrknrs +]cn cirros flrknr mntnftolk os usnm tl mntnft rlaust spitoidflrknrs wcofc mntnfts plokts wotc so`kohofikt dlfid viroitolk lh obi`noktnksotons+

    ]cn 6M cirros flrknr mntnftlr os usnm tl mntnft spitoid iswndd is tnbplrid flrknrs tcit fik an mntnftnm lvnr i snqunkfnlh hribns+Ot hokms spitofid flrknrs wotc vndlfoty fcik`n wcofc nxcoaotfcik`ns ok spifn is wndd is tobn+

    7+1 Vpitol"]nbplrid Hniturns

    ]cn iob lh spitoid hniturn mntnftolk os tl omnktohy plokt ok tcnobi`n tcit flrrnplkm tl laenft ok bltolk tcit fik an trifjnm okimeifnkt obi`n hribns rlaustdy+

    ]cn iob lh spitol"tnbplrid hniturn mntnftolk os tl omnktohy ploktsok tcn obi`n wcnrn so`kohofikt spitoid ikm tnbplrid oktnksoty fcik`nsirn lasnrvnm+]cnsn dlfitolks prlvomn i spirsn rnprnsnktitolk lhbltolk ok tcn obi`n ikm dlfid kno`calrcllm lh tcnsn plokts fik anusnm tl rnprnsnkt bltolk lffurok` ok tcn obi`n+

    Ot os rnquornm tcit tcn hniturn an is spirsn is plssoadn tl rnmufntcn flbputitolkid rnquornbnkt ikm nkiadn us tl ifconvn rnid tobntrifjok`+

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    Hniturn Mntnftolk " Cirros Flrknr 6M Mntnftlr

    Wltnktoid fikmomitns hlr Vpitoid oktnrnst plokts irn nm`n poxnds$ploktswotc so`kohofikt fcik`ns ok tcn kno`calrcllm ikm eukftolk lh flrknrs+

    Wltnktoid fikmomitns hlr Vpitol"]nbplrid oktnrnst plokts irn ploktswcofc nxcoaot dir`n viroitolk ok spitoid is wndd is tnbplrid mobnksolks+

    7+1+9 Blmnd lh Vpitol"tnrbplrid Obi`n Vnqunkfn

    Flksomnr i Obi`n snqunkfn rnprnsnktnm ayO # x : y : t /

    + Ok cirros flrknrmntnftlr wn flksomnrnm i sbidd wokmlw ikm ikidyznm tcn fcik`nok ivnri`n oktnksoty lh is wokmlw os scohtnm ay sbidd ibblukt+Oh

    tcn fcik`n os dir`n lh idd tcn scohts wn flksomnrnm tcn plokt is ioktnrnst flrknr+

    Hlr spitol"tnbplrid flrknr wn wodd flksomnr i 6M wokmlw ialuti plokt ikm ikidyzn tcn ivnri`n oktnksoty fcik`n is wokmlw osscohtnm ay sbidd ibblukt ok spitoid is wndd is tnbplrid mobnksolk+Ohtcn fcik`n os dir`n hlr idd spitoid is wndd is tnbplrid scohts wnwludm flksomnr tcn plokt is spitol"tnbplrid oktnrnst flrknr+

    N # x : y : / 2

    P

    e O # x * u : y * v : t * / O # u : v : t / e

    1

    # 9 /

    ]cn plokt anok` flksomnrnm osO # u : v : t /

    +x$t$

    irn spitol"tnbplridscohts+]cus wn iffubuditn hribns it mohhnrnkt tobn okstikts+Pnflbputn ivnri`n fcik`n ok oktnksoty lh hribn it okstikt t wotcscohtnm wokmlws it tobn okstikts

    t 9 : t * 9

    +

    = | 9 7

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    Hniturn Mntnftolk " Cirros Flrknr 6M Mntnftlr

    Flksomnr Horst lrmnr ipprlxobitolk lhO # x * u : y * v : t * /

    O # x * u : y * v : t * / 2 O # u : v : t / * x

    G O

    G x

    * y

    G O

    G y

    *

    G O

    G t

    N # x : y : / 2

    P

    e x

    G O

    G x

    * y

    G O

    G y

    *

    G O

    G t

    e

    1

    N # x : y : / 2

    P

    e x S * y _ * ] e

    1

    N # x : y : / 2

    P

    x

    1

    S

    1

    * y

    1

    _

    1

    * ]

    1

    * 1 x y S _ * 1 y _ ] * 1 x S ]

    N # x : y : / 2 x

    1

    P

    S

    1

    * y

    1

    P

    _

    1

    *

    P

    1

    ]

    1

    * 1 x y

    P

    S _

    * 1 y

    P

    _ ] * 1 x

    P

    S ]

    N # x : y : / 2 I x

    1

    * A y

    1

    * 1 F x y * 1 y M * 1 x N *

    1

    H

    N # x : y : / 2

    x y

    W

    Q

    I F N

    F A M

    N M H

    Y

    V

    W

    Q

    x

    y

    Y

    V

    # 1 /

    ]cn scohts flksomnrnm irn# 7 : 9 : 7 / : # 9 : 9 : 7 / : # 7 : 9 : 7 / : # 9 : 9 : 7 / : # 7 : 9 : 9 / : # 9 : 9 : 9 /

    # 7 : 9 : 9 / : # 9 : 9 : 9 / : # 7 : 9 : 9 / : # 9 : 9 : 9 / : # 7 : 9 : 9 / : # 9 : 9 : 9 /

    +

    ]cnsn scohts flrrnsplkm tl spitoid mnrovitovns ok x ikm y mo"rnftolk $ spitoid mnrovitovns wrt tnrbplrid wokmlws +

    Ok Cirros 1M mntnftlr wn usnm i 1M wokmlw $sobodirody ok 6Mcirros mntnftlr wn usn i 6M wokmlw+

    ]cn adlfj sozn rnprnsnktnm tcn sozn lh 1M wokmlw ok cirrosflrknr mntnftlr+ Hlr 6M cirros flrknr mntnftlr wn wludm civn tlstlrn tcn obi`n hribns flrrnsplkmok` tl adlfj sozn+Dir`n tcn adlfjsozn ok tnbplrid mobnksolk dlk`nr os lasnrvitolk oktnrvid hlr wcofcfcik`n ok spitoid oktnrnst plokts irn lasnrvnm+

    I`iok tcn no`nk viduns lh bitrox irn ikidysnm ikm plokts wcofcprlvomn idd tcrnn dir`n no`nk viduns okmofitns i flrknr plokts+

    I sobodir bnisurn tl 1M cirros flrknr mntnftlr fik an usnm+

    > | 9 7

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    Hniturn Mntnftolk " Cirros Flrknr 6M Mntnftlr

    Q 2 M n t # B / j ] r # B /

    1

    2

    9

    1

    6

    * j #

    9

    *

    1

    *

    6

    /

    6

    2

    1

    9

    2

    6

    9

    C 2

    6

    9

    # j # 9 * * /

    6

    /

    Hlr C) 7 :

    wn `ntj

    # 9 * * /

    6

    Is j okfrnisns : 6 9

    Wlsotovn dlfid bixobi lh C flrrnsplkms tl spitoi"tnbplrid flrknrsBixobid viduns lh j os 9

    1 0

    # 6 /

    ]cus wn tijn bixobid vidun lh j ikm flbputn tcn rnsplksn hukftolkhlr nifc plokt +Oh tcn rnsplksn hukftolk os ialvn i fnrtoik tcrnscldm

    wn fik fdissohy ot is i spitol"tnbplrid flrknr+

    7+6 Flbputitolk lh bitrox piribntnrs

    Oh tcn plokt anok` anok` ikidyznm os O#u$v$t/ tcnk wn rnquorn obi`nadlfjs

    O # u a s : v a s /tl

    O # u * a s : v * a y /hlr idd obi`n hribns hrlb

    t a s t

    tlt * a s t

    on i 6M adlfj ialut tcn ploktu : v : t

    +

    ]l ifflblmitn hlr tcn horst lrmnr spitoid ikm tnbplrid scohts

    wn rnquorn obi`n hribns ok tobn oktnrvid t a s t 9 tl t * a s t * 9 ialuttcn plokt

    u : vwotc i pitfc sozn lh

    a s+

    ]cus horst stnp ok tcn prl`rib os tl iffubuditn hribnsa s t * 1

    hribns hlr ikiysos+

    7+6+9 Bitrox Wiribtnr I$A$F

    Hlr cirros flrknr mntnftlr wn flbputnm tcos is

    I 2

    9

    w

    P

    e

    G O

    G x

    e

    1

    A 2

    9

    w

    P

    e

    G O

    G y

    e

    1

    F 2

    9

    w

    P

    G O

    G y

    G O

    G x

    # = /

    ]cn ivnri`n bi`kotumn lh mnrovitovn idlk` tcn x mornftolk ikm

    8 | 9 7

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    Hniturn Mntnftolk " Cirros Flrknr 6M Mntnftlr

    y mornftolks ialut i obi`n pitfc+

    Hlr 6M cirros flrknr mntnftlr wn flbputn tcos ok i sobodir wiywcnrn tcn ivnri`n os pnrhlrbnm hlr obi`n hribns ok tnbplrid mornf"tolk is wndd+

    ]cus hlr i stifj lh hribns wn flbputn tcn spitofid mnrovitovnsidlk` tcn x ikm y hlr nifc iffubuditnm hribn ikm tijn tcn ivnri`nlh idd tcn hribns+

    I 2

    9

    P ]

    ]

    P

    e

    G O

    ]

    G x

    e

    1

    A 2

    9

    P ]

    ]

    P

    e

    G O

    ]

    G y

    e

    1

    F 2

    9

    P ]

    ]

    P

    G O

    ]

    G x

    G O

    ]

    G y

    # > /

    7+6+1 Bitrox piribntnrs M$N$H

    Horst wn wodd dllj it flbputitolk lh bitrox piribntnr

    H 2 e

    G O

    G t

    e

    1

    M 2

    G O

    G t

    G O

    G y

    N 2

    G O

    G t

    G O

    G x

    # 8 /

    ]cn horst lrmnr tnbplrid mnrovitn os `ovnk ay tnbplrid jnrknd 9 1 9

    ikm nxprnssnm isM

    t

    # u : v : t / 2 O # u : v : t 9 / * 1 O # u : v : t / O # u : v : t * 9 /+

    ]cn ialvn nxprnssolk `ovns tcn tnrbplrid mnrovitovn ialut tcn plokt# u : v : t /

    +]cos os flbputnm is ivnri`n hlr idd plokts ok tcn wokmlw ikmlvnr idd tcn hribns lh adlfj

    H 2

    9

    P ]

    ]

    P

    e M

    t

    # u : v : t / e

    1

    Pn idrnimy flbputn spitoid mnrovitovns hlr nifc obi`n hribn ikm issclwk nirdonr wn fik flbputn tnbplrid mnrovitovn ialut nifc ploktok tcn hribn+

    0 | 9 7

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    Hniturn Mntnftolk " Cirros Flrknr 6M Mntnftlr

    M 2

    9

    P ]

    ]

    P

    G O

    G t

    G O

    G y

    N 2

    9

    P ]

    ]

    P

    G O

    G t

    G O

    G x

    7+6+6 Obpdnbnktitolk Mntiods

    ]cn horst stnp os tl iffubuditn i snt lh hribns + ]cn kubanr lhhribns rnquornm irn

    a d l f j

    s

    o z n

    t

    o b n * 1ok tnbplrid mobnksolk+

    Pn rnquorn i tnbplrid hodtnr wcofc flbputn tcn tnbplrid mnrovitovnit nifc plokt usok` i tnbplrid jnrknd+

    ]cus wn wodd civn i snt lh obi`ns +Hlr nifc obi`n wn flbputntcn tnrbplrid mnrovitovns ikm tcn spitoid mnrovitovn it nifc plokt oktcn obi`n

    wn flbputn tcn pirtoid prlmufts hlr nifc plokt ok tcn obi`n hlr iddtcn obi`n hribns

    e

    G O

    G t

    e

    1

    : e h r i f G O G x e

    1

    : e

    G O

    G y

    e

    1

    :

    G O

    G t

    G O

    G x

    :

    G O

    G t

    G O

    G y

    Pn sub tcn rnsudts lh idd tcn obi`n hribns+

    Pn ippdy i alx hodtnr tl rnsudt lh tcn sub+

    Pn sfidn tcn rnsudt ay tnbplrid adlfj sozn+

    ]cos `ovns i 8M vnftlr obi`n wcofc flktioks tcn piribntnrs lhtcn bitrox it nifc plokt lh tcn obi`n+ mm ^sok` tcos wn flbputntcn rnsplksn hukftolk wotc tcn bixobid vidun lh

    j 2

    9

    1 0

    +

    7+= Lutput

    ]cn tnst okput ikm lutput hodns irn pdifnm ok tcn rnplsotlryc t t p s 5

    , , ` o t c u a + f l b , p o 9 ? = 7 = , b 9 ? = 7 = , t r n n , b i s t n r , H N I ] ^ Q N \ M N ] N F ] L Q ]cn tnst

    okput hodn os o1+ivo ikm lutput hodn os cirros\6m\mnbl+l`v

    Pn fik lasnrvn hniturn irn mntnftnm ok rn`olk wcnrn so kohofiktbltolk os prnsnkt ikm tcnsn fik cndp ok mnsfroaok` tcn bltolk+

    3 | 9 7

    https://github.com/pi19404/m19404/tree/master/FEATURE_DETECTORhttps://github.com/pi19404/m19404/tree/master/FEATURE_DETECTOR
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    Hniturn Mntnftolk " Cirros Flrknr 6M Mntnftlr

    7+> Huturn Plrj]cn Cirros 6M flrknr mntnftlr os flbputitolkiddy nxpnksovn+ ]cnhuturn wlrj okfdumn lptobozok` tcn id`lrotcb+ Oklrmnr tl civn Vpitol"]nbplrid flrknrs it i plokt os rnquornm tcit so`kohofikt spitoid`rimonkts anok` prnsnkt ialut tcn plokt+ ]cus oh wn bijn tcnissubptolk tcit spitoid flrknrs rnbiok flkstikt wn fik jnnp tcnsibn spitoid `rimonkts hlr idd tcn hribn anok` flbputnm+ ]cn spitoid`rimonkt irn flbputnm lkdy hlr tcn horst hribn +

    Ikltcnr bntclm biy an tl mntnft tcn spitoid flrknr plokts ikmflbputn tcn nxostikfn lh spitol tnbplrid flrknrs lkdy it tcnsnplokts

    ]cnsn bntclms biy nkiadn us tl rnmufn tcn flbputitolk ikmusn tcn cirros6m flrknr mntnftlr hlr rnid tobn ippdofitolks+

    Hniturn nxtriftolk ikm bltolk fdissohofitolk aisnm lk spitol"tnbplrid hniturns+

    7+8 Flmn

    wn mnhokn i biok hniturn\mntnftlr aisn fdiss flktiokok` bntc"lms ikm miti flbblk tl idd hniturn mntnftlr+ tcn cirros\6mfdiss os mnrovnm fdiss flktiokok` spnfohof obpdnbnktitolks lh id`l"rotcbs+ ]cn flmn LpnkFX flmn fik an hlukm ok flmn rnpls"otlry

    c t t p s 5 , , ` o t c u a + f l b , p o 9 ? = 7 = , b 9 ? = 7 = , t r n n , b i s t n r , H N I ] ^ Q N \ M N ] N F ] L Q

    lrc t t p s 5 , , f l m n + ` l l ` d n + f l b , p , b 9 ? = 7 = , s l u r f n , a r l w s n , H N I ] ^ Q N \ M N ] N F ] L Q ,

    ? | 9 7

    https://code.google.com/p/m19404/source/browse/FEATURE_DETECTOR/https://github.com/pi19404/m19404/tree/master/FEATURE_DETECTOR
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    Aoadol`ripcy

    Aoadol`ripcyZ 9 R F c r o s C i r r o s i k m B o j n V t n p c n k s + I f l b a o k n m f l r k n r i k m n m ` n m n t n f t l r + O k 5 O k

    W r l f + l h H l u r t c I d v n y X o s o l k F l k h n r n k f n + 9 ? 3 3 $ p p + 9 = 0 9 > 9 +

    Z 1 R O v i k D i p t n v + L k V p i f n " ] o b n O k t n r n s t W l o k t s + O k 5 O k t + E + F l b p u t + X o s o l k 8 = + 1 " 6

    # V n p t + 1 7 7 > / $ p p + 9 7 0 9 1 6 + o s s k

    5 7 ? 1 7 " > 8 ? 9 + m l o

    5 9 7 + 9 7 7 0 , s 9 9 1 8 6 " 7 7 > " 9 3 6 3 "

    0 +u r d

    5 c t t p 5 , , m x + m l o + l r ` , 9 7 + 9 7 7 0 , s 9 9 1 8 6 " 7 7 > " 9 3 6 3 " 0 +

    Z 6 R E o i k a l V c o i k m F + ] l b i s o + @ l l m h n i t u r n s t l t r i f j + O k 5 F l b p u t n r X o s o l k i k m

    W i t t n r k Q n f l ` k o t o l k $ 9 ? ? = + W r l f n n m o k ` s F X W Q ' ? = + $ 9 ? ? = O N N N F l b p u t n r V l f o n t y

    F l k h n r n k f n l k + 9 ? ? = $ p p + > ? 6 8 7 7 + m l o

    5 9 7 + 9 9 7 ? , F X W Q + 9 ? ? = + 6 1 6 0 ? = +

    9 7 | 9 7

    http://dx.doi.org/10.1109/CVPR.1994.323794http://dx.doi.org/10.1007/s11263-005-1838-7http://dx.doi.org/10.1007/s11263-005-1838-7http://dx.doi.org/10.1007/s11263-005-1838-7