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    Method and a system for generating a synthesized image of a hair
    1.
    发明授权
    Method and a system for generating a synthesized image of a hair 有权
    用于产生头发的合成图像的方法和系统

    公开(公告)号：US08026911B2

    公开(公告)日：2011-09-27

    申请号：US11723307

    申请日：2007-03-19

    申请人： Jean-Luc Leveque ,  Basile Audoly ,  Frederic Leroy ,  Bernard Querleux

    发明人： Jean-Luc Leveque ,  Basile Audoly ,  Frederic Leroy ,  Bernard Querleux

    IPC分类号： G06T15/00

    CPC分类号： G06T11/203 ,  G06T17/00 ,  G06T19/20

    摘要： The invention relates to a method of generating a synthesized image of a hair, comprising the following steps: calculating the shape of the hair by applying a behavioral relationship determining the shape of the hair as a function of a physical parameter linked to a mechanical property of the hair, in particular the linear density; producing an image of the hair of shape that has been calculated in this way. The behavioral relationship may be given by the minimization of the following function: E = K L ⁢ ∫ 0 1 ⁢ [ 1 2 ⁢ ( k ~ ⁡ ( s ~ ) - α ) 2 + 1 β ⁢ z ~ ⁡ ( s ~ ) ] ⁢ ⅆ s ~ , where α=Lk0 and β=K/gμL3, and where L designates the length of the hair, k0 its spontaneous curvature, K its bending moment, μ its linear density and g the acceleration due to gravity, {tilde over (s)} the curvilinear abscissa relative to the length of the hair, {tilde over (k)} its local curvature relative to its length and {tilde over (z)} its height relative to its length.

    摘要翻译： 本发明涉及一种产生头发合成图像的方法，包括以下步骤：通过应用确定头发形状的行为关系来计算头发的形状，作为与机械特性相关联的物理参数的函数 头发，特别是线密度; 产生以这种方式计算的形状的头发的图像。 行为关系可以通过以下函数的最小化来给出：E = K L？0 1 [1 2（k〜⁡（s〜） - α）2 + 1＆bgr; z〜⁡（s〜）]ⅆs〜，其中α= Lk0和＆bgr; = K /gμL3，其中L表示头发长度，k0表示自发曲率，K表示其弯曲力矩，μ为线性密度 并且g由于重力引起的加速度，相对于头发长度的曲线横坐标（相当于（k）}），其相对于其长度的局部曲率和（z）上的波形）的高度 相对于其长度。

    Method and a system for generating a synthesized image of a hair
    2.
    发明授权
    Method and a system for generating a synthesized image of a hair 有权
    用于产生头发的合成图像的方法和系统

    公开(公告)号：US08379015B2

    公开(公告)日：2013-02-19

    申请号：US13064984

    申请日：2011-04-29

    申请人： Jean-Luc Leveque ,  Basile Audoly ,  Frederic Leroy ,  Bernard Querleux

    发明人： Jean-Luc Leveque ,  Basile Audoly ,  Frederic Leroy ,  Bernard Querleux

    IPC分类号： G06T15/00

    CPC分类号： G06T11/203 ,  G06T17/00 ,  G06T19/20

    摘要： The invention relates to a method of generating a synthesized image of a hair, comprising the following steps: calculating the shape of the hair by applying a behavioral relationship determining the shape of the hair as a function of a physical parameter linked to a mechanical property of the hair, in particular the linear density; producing an image of the hair of shape that has been calculated in this way. The behavioral relationship may be given by the minimization of the following function: E = K L ⁢ ∫ 0 1 ⁢ [ 1 2 ⁢ ( k ~ ⁡ ( s ~ ) - α ) 2 + 1 β ⁢ z ~ ⁡ ( s ~ ) ] ⁢ ⁢ ⅆ s ~ , where α=Lk0 and β=K/gμL3, and where L designates the length of the hair, k0 its spontaneous curvature, K its bending moment, μ its linear density and g the acceleration due to gravity, {tilde over (s)} the curvilinear abscissa relative to the length of the hair, {tilde over (k)} its local curvature relative to its length and {tilde over (z)} its height relative to its length.

    摘要翻译： 本发明涉及一种产生头发合成图像的方法，包括以下步骤：通过应用确定头发形状的行为关系来计算头发的形状，作为与机械特性相关联的物理参数的函数 头发，特别是线密度; 产生以这种方式计算的形状的头发的图像。 行为关系可以通过以下函数的最小化来给出：E = K L？0 1 [1 2（k〜⁡（s〜） - α）2 + 1＆bgr; 其中α= Lk0和＆bgr; = K /gμL3，其中L表示毛发的长度，k0表示自发曲率，K表示其弯矩，μ为线性 密度和g由于重力引起的加速度，相对于头发长度的曲线横坐标，相对于其长度的局部曲率（{（k））），（＆ldquo;（z）}的曲线横坐标） 高度相对于其长度。

    Method and a system for generating a synthesized image of a hair
    3.
    发明申请
    Method and a system for generating a synthesized image of a hair 有权
    用于产生头发的合成图像的方法和系统

    公开(公告)号：US20110205225A1

    公开(公告)日：2011-08-25

    申请号：US13064984

    申请日：2011-04-29

    申请人： Jean-Luc Leveque ,  Basile Audoly ,  Frederic Leroy ,  Bernard Querleux

    发明人： Jean-Luc Leveque ,  Basile Audoly ,  Frederic Leroy ,  Bernard Querleux

    IPC分类号： G06T15/00

    CPC分类号： G06T11/203 ,  G06T17/00 ,  G06T19/20

    摘要： The invention relates to a method of generating a synthesized image of a hair, comprising the following steps: calculating the shape of the hair by applying a behavioral relationship determining the shape of the hair as a function of a physical parameter linked to a mechanical property of the hair, in particular the linear density; producing an image of the hair of shape that has been calculated in this way. The behavioral relationship may be given by the minimization of the following function: E = K L  ∫ 0 1  [ 1 2  ( k ~  ( s ~ ) - α ) 2 + 1 β  z ~  ( s ~ ) ]    s ~ , where α=Lk0 and β=K/gμL3, and where L designates the length of the hair, k0 its spontaneous curvature, K its bending moment, μ its linear density and g the acceleration due to gravity, {tilde over (s)} the curvilinear abscissa relative to the length of the hair, {tilde over (k)} its local curvature relative to its length and {tilde over (z)} its height relative to its length.

    摘要翻译： 本发明涉及一种产生头发合成图像的方法，包括以下步骤：通过应用确定头发形状的行为关系来计算头发的形状，作为与机械特性相关联的物理参数的函数 头发，特别是线密度; 产生以这种方式计算的形状的头发的图像。 行为关系可以通过以下函数的最小化来给出：E = K L∫∫0 1 [[[）））;;;;;;;;;;; 其中α= Lk0和＆bgr; = K /gμL3，其中L表示毛发的长度，k0表示自发曲率，K表示其弯曲力矩，μ为线性 密度和g由于重力引起的加速度，相对于头发长度的曲线横坐标，相对于其长度的局部曲率（{（k））），（＆ldquo;（z）}的曲线横坐标） 高度相对于其长度。

    Method and a system for generating a synthesized image of a hair
    4.
    发明申请
    Method and a system for generating a synthesized image of a hair 有权

    公开(公告)号：US20070279413A1

    公开(公告)日：2007-12-06

    申请号：US11723307

    申请日：2007-03-19

    申请人： Jean-Luc Leveque ,  Basile Audoly ,  Frederic Leroy ,  Bernard Querleux

    发明人： Jean-Luc Leveque ,  Basile Audoly ,  Frederic Leroy ,  Bernard Querleux

    IPC分类号： G06T15/00

    CPC分类号： G06T11/203 ,  G06T17/00 ,  G06T19/20

    摘要： The invention relates to a method of generating a synthesized image of a hair, comprising the following steps: calculating the shape of the hair by applying a behavioral relationship determining the shape of the hair as a function of a physical parameter linked to a mechanical property of the hair, in particular the linear density; producing an image of the hair of shape that has been calculated in this way. The behavioral relationship may be given by the minimization of the following function: E = K L ⁢ ∫ 0 1 ⁢ [ 1 2 ⁢ ( k ~ ⁡ ( s ~ ) - α ) 2 + 1 β ⁢ z ~ ⁡ ( s ~ ) ] ⁢ ⅆ s ~ , where α=Lk0 and β=K/gμL3, and where L designates the length of the hair, k0 its spontaneous curvature, K its bending moment, μ its linear density and g the acceleration due to gravity, {tilde over (s)} the curvilinear abscissa relative to the length of the hair, {tilde over (k)} its local curvature relative to its length and {tilde over (z)} its height relative to its length.

    Process and curler for reshaping hair
    5.
    发明授权
    Process and curler for reshaping hair 失效
    过程和卷发器重塑头发

    公开(公告)号：US5280795A

    公开(公告)日：1994-01-25

    申请号：US873779

    申请日：1992-04-27

    申请人： Jean-Luc Leveque ,  Frederic Leroy

    发明人： Jean-Luc Leveque ,  Frederic Leroy

    IPC分类号： A45D2/02 ,  A45D2/00 ,  A45D2/24 ,  A45D2/36 ,  A45D6/14 ,  A45D7/02

    CPC分类号： A45D2/24 ,  A45D2/00 ,  A45D6/14

    摘要： According to the process for applying reshaping to hair by use of a hair-curler, the hair-curler (1) is arranged in such a way that the perimeter along which the lock of hair (M) is rolled increases by approx. 2 to 3% when its temperature rises to pass from a starting temperature to a higher temperature which nevertheless remains lower than a relatively low limit thus avoiding the burning of the hair and/or of the scalp; the longitudinal section of the curler is sufficient to withstand the stresses imposed by elongation of the lock of hair; the lock of hair is rolled around the curler at the starting temperature so that the hair is retained against the hair-curler; the curler is raised to the said higher temperature; the hair is thus subjected to elongation ensuring an increase in the life of the reshaping applied to the hair.

    摘要翻译： 根据通过使用卷发器对头发进行整形的方法，头发卷发器（1）以这样一种方式设置，使得毛发（M）的锁定沿其周边的周长增加约 当其温度从起始温度升高到较高温度时仍为2至3％，然而仍然低于相对低限度，从而避免头发和/或头皮的燃烧; 卷发器的纵向部分足以承受由头发锁定伸长所施加的应力; 头发的锁在起始温度下卷绕在卷发器上，使得头发保持在头发卷发器上; 卷发器升高到上述较高的温度; 因此，头发受到伸长，确保施加到头发上的整形的寿命增加。