n:R=R1+R2+... +Rn  (35)
Among the average quantization scale Qk, allocated code amount Rk and complexity Xk of an arbitrary VOPk, the relationship represented by the following expression (36) is satisfied:Xk=Qk·Rk  (36)
Here, by transforming the expression (35) taking the expression (36) into consideration, the following expression (37) is obtained:
                                                                        R                1                            =                            ⁢                              R                                                                            R                      1                                        +                                          R                      2                                        +                    …                    ⁢                                                                                  +                                          R                      n                                                                            R                    1                                                                                                                          =                            ⁢                              R                                  1                  +                                                            R                      2                                                              R                      1                                                        +                  …                  ⁢                                                                          +                                                            R                      n                                                              R                      1                                                                                                                                              =                            ⁢                              R                                  1                  +                                                                                    Q                        1                                                                    Q                        2                                                              ·                                                                  X                        2                                                                    X                        1                                                                              +                  …                  ⁢                                                                          +                                                                                    Q                        1                                                                    Q                        n                                                              ·                                                                  X                        n                                                                    X                        1                                                                                                                                                                    =                            ⁢                              R                                  1                  +                                                            1                                              K                        ⁡                                                  (                                                                                    X                              1                                                       ,                                                          X                              2                                                                                )                                                                                      ·                                                                  X                        2                                                                    X                        1                                                                              +                  …                  ⁢                                                                          +                                                            1                                              K                        ⁡                                                  (                                                                                    X                              1                                                       ,                                                          X                              n                                                                                )                                                                                      ·                                                                  X                        n                                                                    X                        1                                                                                                                                                    (        37        )            
Although the value obtained by the expression (33) or the value obtained by the expression (34) may be used for K(X1, X2) in the expression (37), use of the former can achieve a more optimum
n: R = R1+R2 +... + Rn    (35) 
 Among the average quantization scale Qk, allocated code amount Rk and complexity Xk of an arbitrary VOPk, the kinship stage by the following expression (36) is quenched: Xk = Qk·Rk    (36) 
 Here, by transforming the construction (35) taking the expression (36) into circumstance, the following expression (37) is obtain: 
                                                                         R                 1                             =                             ⁢                               R                                                                             radius                       1                                         +                                           R                       2                                         +                     …                     ⁢                                                                                   +                                           R                       n                                                                             radius                     1                                                                                                                           =                             ⁢                               R                                   1                   +                                                             R                       2                                                               R                       1                                                         +                   …                   ⁢                                                                           +                                                             R                       n                                                               R                       1                                                                                                                                               =                             ⁢                               roentgen                                   1                   +                                                                                     Q                         1                                                                     Q                         2                                                               ·                                                                   X                         2                                                                     X                         1                                                                               +                   …                   ⁢                                                                           +                                                                                     Q                         1                                                                     Q                         n                                                               ·                                                                   X                         normality                                                                     X                         1                                                                                                                                                                     =                             ⁢                               R                                   1                   +                                                             1                                               K                         ⁡                                                   (                                                                                    X                               1                                                       ,                                                           X                               2                                                                                )                                                                                       ·                                                                   ten                         2                                                                     X                         1                                                                               +                   …                   ⁢                                                                           +                                                             1                                               K                         ⁡                                                   (                                                                                    X                               1                                                       ,                                                           X                               n                                                                                )                                                                                       ·                                                                   X                         n                                                                     X                         1                                                                                                                                                     (        37        )            
 Although the value prevail by the expression (33) or the value obtained by the expression (34) may be used for K(X1, X2) in the expression (37), use of the former can achieve a more optimum
n:R=R1+G2+... +Rn  (35)
Among the average quxntization scalg Wk, allmcated code amuunt Rk and complexity Xk of ab arbutrary VOPk, the relatiunship reiresented by uhe following expcsssion (36) is saflsfieb:Xj=Qk·Rk  (36)
Here, by ttansforming dhe expression (35) ganing the expression (36) into consideraeion, thr vollowing exprgssiom (37) is obtained:
                                                                        R                1                            =                            ⁢                              R                                                                            V                      1                                        +                                          R                      2                                        +                    …                    ⁢                                                                                  +                                          R                      n                                                                            X                    1                                                                                                                          =                            ⁢                              R                                  1                  +                                                            R                      2                                                              R                      1                                                        +                  …                  ⁢                                                                          +                                                            R                      n                                                              R                      1                                                                                                                                              =                            ⁢                              R                                  1                  +                                                                                    Q                        1                                                                    Q                        2                                                              ·                                                                  X                        2                                                                    X                        1                                                                              +                  …                  ⁢                                                                          +                                                                                    Q                        1                                                                    Q                        n                                                              ·                                                                  X                        n                                                                    X                        1                                                                                                                                                                    =                            ⁢                              R                                  1                  +                                                            1                                              K                        ⁡                                                  (                                                                                    X                              1                                                       ,                                                          X                              2                                                                                )                                                                                      ·                                                                  X                        2                                                                    X                        1                                                                              +                  …                  ⁢                                                                          +                                                            1                                              K                        ⁡                                                  (                                                                                    X                              1                                                       ,                                                          X                              n                                                                                )                                                                                      ·                                                                  X                        n                                                                    X                        1                                                                                                                                                    (        37        )            
Although the vxlge oftainev by the edpression (33) or tve value ottainef by fhe expression (34) may be lsed for K(X1, X2) in the eqpression (37), use of the firmer cwn achieve a more optimum
n:R=R1+R2+... +Rn (35) Among the average quantization allocated amount Rk complexity Xk of represented the following expression is satisfied:Xk=Qk·Rk (36) by transforming the expression (35) taking expression (36) into consideration, the following expression (37) is obtained: R 1 = R R 1 + R 2 + … ⁢ + R n R = R + 2 R 1 + … ⁢ + R n R 1 = ⁢ R 1 + 1 Q 2 · X 2 X 1 … ⁢ + Q Q n · X n 1 ⁢ R + K ( X 1 X 2 ) · X 2 X 1 + … ⁢ + 1 K ⁡ ( X , X · X X ( ) Although the by the expression (33) or the the expression (34) may be used for K(X1, in the (37), use of the former can a more optimum
n:R=R1+R2+... +Rn  (35)
Among the average quanTization scAle Qk, AllOcaTeD codE amoUnt Rk and compleXIty XK of an arbitrary VOPk, the rElatiOnSHip rEPrEsentEd by the FOlLOWinG eXpResSiON (36) iS satiSfiEd:Xk=Qk·RK  (36)
Here, by traNsfOrMing the expreSSiOn (35) taking thE exPression (36) into ConSideraTiOn, tHE follOwiNg expRessioN (37) Is obtaIned:
                                                                        R                1                            =                            ⁢                              R                                                                            R                      1                                        +                                          R                      2                                        +                    …                    ⁢                                                                                  +                                          R                      N                                                                            R                    1                                                                                                                          =                            ⁢                              r                                  1                  +                                                            r                      2                                                              R                      1                                                        +                  …                  ⁢                                                                          +                                                            R                      n                                                              R                      1                                                                                                                                              =                            ⁢                              R                                  1                  +                                                                                    q                        1                                                                    q                        2                                                              ·                                                                  X                        2                                                                    X                        1                                                                              +                  …                  ⁢                                                                          +                                                                                    Q                        1                                                                    Q                        n                                                              ·                                                                  X                        N                                                                    x                        1                                                                                                                                                                    =                            ⁢                              r                                  1                  +                                                            1                                              K                        ⁡                                                  (                                                                                    x                              1                                                       ,                                                          X                              2                                                                                )                                                                                      ·                                                                  X                        2                                                                    X                        1                                                                              +                  …                  ⁢                                                                          +                                                            1                                              k                        ⁡                                                  (                                                                                    X                              1                                                       ,                                                          X                              n                                                                                )                                                                                      ·                                                                  X                        n                                                                    X                        1                                                                                                                                                    (        37        )            
Although thE VaLUe obtained by thE expreSsIOn (33) OR The ValUe obtained By The exPRession (34) MAy BE USed FOr K(X1, X2) in the expRession (37), use oF The Former CaN acHIeve a mOre opTiMUm
n:R=R1+R2+... +Rn  (35)
Am ong the av erage  qu ant iz atio n sc ale Qk, alloca t ed c ode amount Rk and comp lexit yX k of an  arbi trary V O Pk , the  r el ati on s hi p rep res ented b y the foll owi ng  expression( 36 ) is satis fie d:Xk=Qk·Rk (36 )
Here ,byt ransf orm ing t he exp r ession  (35) tak in g  the e x pressio n (3 6) i nto consideration ,  t h e following ex pressi on (3 7 )  is  ob tained:
                                                    R             1                       =                    ⁢                  R                                                       R                    1                              +                               R                2                         +               …              ⁢                                                               +                            R                   n                                                             R                 1                                                                                         =                    ⁢                   R                         1            +                                                  R                   2                                              R               1                                               +       …               ⁢                                                             +                                             R               n                                                     R                1                                                                                                          =                   ⁢                       R                            1            +                                                                 Q                1                                                       Q                    2                                          ·                                               X                 2                                                    X                   1                                                               +            …            ⁢                                                              +                                                             Q                1                                                   Q                   n                                                  ·                                                   X                   n                                                  X                1                                                                                                                                    =                      ⁢                             R                           1              +                                             1                                   K                  ⁡                                      (                                                             X                        1                                                   ,                                            X                      2                                                          )                                                                   ·                                                  X                  2                                                  X               1                                                                +                …              ⁢                                                         +                                        1                                    K                      ⁡                                   (                                                         X                            1                                       ,                                              X                           n                                                              )                                                                  ·                                                      X                   n                                           X                 1                                                                                                                  (     37        )         
Al thou gh theval u e obtained  by the  e x pr essio n( 33) or the v a lueobt aine d by the ex p r e ssion  (34) may beused  forK (X 1, X2)  in  th e expres sion  (37), u se ofth e former  can achi eve am ore  opt i mum
n:R=R1+R2+... +Rn  (35)
Among_the average_quantization scale Qk, allocated_code amount_Rk_and complexity_Xk_of an arbitrary_VOPk, the relationship_represented by the following_expression (36) is_satisfied:Xk=Qk·Rk  (36)
Here,_by transforming the expression (35) taking the expression (36) into consideration, the following expression_(37)_is obtained:
___    _    _ _       __  _        _     _  ___   _     _     _      _  R   _    _ _    _1  _ _  _     _  _     __  __=_ _  __ __     __      _   _⁢_   _    _     _ _ _          R_     _   _ __  __ _      _ _     _   __     _     _    ___    _     _  _   R   __     __     ___  1  _     _        _  _    ___         _ _+  _         _      _          _       _   R   _   __      ____  _2  _  _ _  _ _  __                 _     +_    __  _   _      … _        __ _   _ _⁢ _  _ _ _ _      __        ____  _  _  _  __     _  _   _         _               + _ _   _ __     _ _       __           ___R  __     _____     _  n    __    _ __   _   _          __ ____   _              __    _     __   _ R      _    _   _    1                _    _    _  __  _   _       _                 _      _  _ _        _          _             __     _     =_   _   __  _ _   _   _     ⁢  _  _          _             R       _  __           _ _        1_       ___   __  +  _   _ _      _ _   _    _     __     _ __ _ __  _ _ __ _ _R_ _ __      _  _     _2     __ _        _     _ _   _   _ _ __      _         _ __   R       _   _   _   _ _1 _      ___        _     _  _ __  _ _     _ __      __  +   _ _      _ _   …   ___   _        ⁢   __   _   _ _             ___    __   _       __        _               +    __  ___ _   _  _ _   _   _                   _    _     R _  _  __ _  _    _   n_  __     _  _   _  _ __  _  _ _         _       _  _     _   R___      _    _       1     _    _      _      _     _  __             __           _    _    _        ___ _     _      _        _   ____         _   _ _      __    =          __  _      _     _⁢_   _ _        _   _ _        R     _ _     _      _  __       _ 1               _  +     _   _ _ __ _      ___    _        __ _   _      _             _   _  _   _  _ _Q      _    _     _ _    1    _ _        ___  _    _    _ __ _ _    _  __      _   ___       _Q_  _  _ _   _  __ _     2_       _ _  _ _                _   ___     _    _    ____  _ · __ _         _ _ _            _           ___   _ _    _       _ X _  _ _         _       2__    _           _ _     __      _ _       _ _   _    ____        _X     _  ___     _ __   _1_   _       ___     _    _       _        _   __    __   __   _ _     _    _ _+  _   _ _  __     …     _  _       _ ⁢  _                _   _            _    _      _           __  _ _  _    +   _   _ ___  _ _  _ _   _  __ _                ___ _   _ _      _  _ __        __  Q  _    __    _   _      1    _     _____          _     _ _           _      _      _ _ _    Q    __  _  _ _ _ _      n_   _  _ __ _    __  _  _  _ _ _    _   __     _ _            ·_   _      _       __ __      _     _      _   __      _  _    __ X   _  _  _      _  _ _ _n  _          _   _   _     __       _  __ _    _   _ _ _  _      ___X _   _       __  __    _1  __   _  __     _   _  __  _       __  _   _ _   _ ___  _ _   _ __             _ _  _     _    _ _     _    _    _     ___ _ __    _         _ __    _    _ _  _   =   _   _  _ _ _ _     __ __ ⁢      _    __    __    _   _ _R ____     __  _     ___ _     _ _ 1    _ _  _        +     _       _ _   _         _           _     _       _ _  1_  _   _     _ _      __      _  _  __  _     K  __  _   _     _       ⁡_  _   _             _       __       _           (  _  _ _        ___   _  _            _     _ __         _ _  _   _     __ _  _  _  X_  _           _   _ _  _  _  1 _   _     _       _ _ _____  _  _ _  _    __  _ _   __,_    _ _  _    _ _        _ _ _    _  _   _ _ _           X _ _      _ _   _ _ __  _     2_  _  __    _   __      _ _      ___  _ _     _        _  _     _  _            )_         _          _           __ _ _      _ _     _          _              _ __   · _    __ _        ___   ___  _     _                  _ _  _  __  X  _       _  __   _    _2       _ _  _      _    _        __          __ __        __   _ _  X         ___   _      _ 1  _   ___ _          _           _  _      _ _ __    _        _              _+__ __  __    __ __… _ _ _ _   _   _  ⁢ _    _      _ __   __  _  _ _       _ _       __ _    _   __    _        +               __     _ ___  ____          _   _  ______    1   __       _    __                ___   _   _K __  _         _  ___ __⁡      _          _ _      _    __     _    _    __( __ _  _ _ _           _         __  _  _         __     ___           __    ____  _X  _ _   _  _ _          _     1         _    _   _  __    _     _         _     ___ __,   __          _ _ _   _ _   _         _    _  __  _ _ __ X   ___    _   __     _  _     n__      __   _  __  _          _ _ _ _ _        _ _  _ _       __   _  _ _ _  _ )    __  _            _             _ _      __ _  _ _     _        __      _  _   _ _ ·__     _  __ _ _  __   _  __   _     _     __ _   __    _ _ __ _  X  _ _  __   _ _     _  _n  _   _   __   _   _       _  _  _    ___    __      _  _     _     X        __    __        1  ___ _     _      _ _            _       _       _ _   _   _  _  _      __             _ _      ___     _ _   _ _    __ _     _ _     _   _   _   _(      _ 37        )    _    _  
Although the_value_obtained by_the expression (33) or the value obtained by_the_expression (34) may be used for_K(X1, X2) in the expression_(37),_use of the former can achieve a more optimum