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1. 发明授权

US08026911B2 Method and a system for generating a synthesized image of a hair 有权
标题翻译：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。

2. 发明授权

US08379015B2 Method and a system for generating a synthesized image of a hair 有权
标题翻译：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。

3. 发明申请

US20110205225A1 Method and a system for generating a synthesized image of a hair 有权
标题翻译：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。

4. 发明申请

US20070279413A1 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.

5. 发明申请

US20100299106A1 METHOD AND A SYSTEM FOR GENERATING A SYNTHESIZED IMAGE OF AT LEAST A PORTION OF A HEAD OF HAIR 有权
标题翻译：用于产生至少一个头发部分的合成图像的方法和系统
公开(公告)号：US20100299106A1
公开(公告)日：2010-11-25
申请号：US12305734
申请日：2007-06-22
申请人： Basile Audoly , Bernard Querleux , Florence Bertails , Jean-Luc Leveque , Marie-Paule Cani
发明人： Basile Audoly , Bernard Querleux , Florence Bertails , Jean-Luc Leveque , Marie-Paule Cani
IPC分类号： G06F17/50
CPC分类号： G06T13/40
摘要： The invention relates to a method of generating at least one synthesized image of at least a portion of a head of hair in movement, the method comprising the steps consisting in calculating a shape of at least one director hair by applying to the at least one director hair at least one mechanical model of an inextensible rod having inertia and stiffnesses in twisting and in bending, and in generating at least one virtual image of the at least one portion of the head of hair from the shape of the director hair.
摘要翻译：本发明涉及一种在运动中产生头发头部的至少一部分的至少一个合成图像的方法，该方法包括以下步骤：通过应用于至少一个导片来计算至少一个导演头发的形状头发至少一个不可伸长的杆的机械模型，其具有扭曲和弯曲中的惯性和刚度，以及从导向头发的形状产生头部头部的至少一部分的至少一个虚拟图像。

6. 发明授权

US08743124B2 Method and a system for generating a synthesized image of at least a portion of a head of hair 有权
标题翻译：用于产生头发头部的至少一部分的合成图像的方法和系统
公开(公告)号：US08743124B2
公开(公告)日：2014-06-03
申请号：US12305734
申请日：2007-06-22
申请人： Basile Audoly , Bernard Querleux , Florence Bertails , Jean-Luc Leveque , Marie-Paule Cani
发明人： Basile Audoly , Bernard Querleux , Florence Bertails , Jean-Luc Leveque , Marie-Paule Cani
IPC分类号： G06T13/00
CPC分类号： G06T13/40
摘要： The invention relates to a method of generating at least one synthesized image of at least a portion of a head of hair in movement, the method comprising the steps consisting in calculating a shape of at least one director hair by applying to the at least one director hair at least one mechanical model of an inextensible rod having inertia and stiffnesses in twisting and in bending, and in generating at least one virtual image of the at least one portion of the head of hair from the shape of the director hair.
摘要翻译：本发明涉及一种在运动中产生头发头部的至少一部分的至少一个合成图像的方法，该方法包括以下步骤：通过应用于至少一个导片来计算至少一个导演头发的形状头发至少一个不可伸长的杆的机械模型，其具有扭曲和弯曲中的惯性和刚度，以及从导向头发的形状产生头部头部的至少一部分的至少一个虚拟图像。

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