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1. 发明授权

US07417635B2 Computational geometry using control geometry having at least two dimensions 有权
标题翻译：使用具有至少两个维度的控制几何的计算几何
公开(公告)号：US07417635B2
公开(公告)日：2008-08-26
申请号：US11681077
申请日：2007-03-01
申请人： Alyn P. Rockwood , Lance Hagen , Scott A. Hagen , John N. Lee
发明人： Alyn P. Rockwood , Lance Hagen , Scott A. Hagen , John N. Lee
IPC分类号： G06T15/00
CPC分类号： G06T17/30 , Y10S715/964
摘要： A method and system for computer aided design (CAD) is disclosed for designing geometric objects. The present invention interpolates and/or blends between such geometric objects sufficiently fast so that real time deformation of such objects occurs while deformation data is being input. Thus, a user designing with the present invention obtains immediate feedback to input modifications without separately entering a command for performing such deformations. The present invention utilizes novel computational techniques for blending between geometric objects, wherein weighted sums of points on the geometric objects are used in deriving a new blended geometric object. The present invention is particularly useful for designing the shape of surfaces. Thus, the present invention is applicable to various design domains such as the design of, e.g., bottles, vehicles, and watercraft. Additionally, the present invention provides for efficient animation via repeatedly modifying surfaces of an animated object such as a representation of a face.
摘要翻译：公开了一种用于计算机辅助设计（CAD）的设计方法和系统，用于设计几何对象。本发明在这种几何对象之间充分快速地内插和/或混合，使得在输入变形数据的同时发生这种物体的实时变形。因此，用本发明设计的用户可以立即反馈输入修改，而无需单独输入执行这种变形的命令。本发明利用新颖的计算技术来混合几何对象，其中几何对象上的点的加权和用于导出新的混合几何对象。本发明对于设计表面的形状特别有用。因此，本发明可应用于诸如瓶子，车辆和船舶的设计的各种设计领域。另外，本发明通过重复地修改诸如脸部表示的动画对象的表面来提供有效的动画。

2. 发明授权

US09262859B2 Surface patch techniques for computational geometry 有权
标题翻译：用于计算几何的表面贴片技术
公开(公告)号：US09262859B2
公开(公告)日：2016-02-16
申请号：US14461439
申请日：2014-08-17
申请人： FreeDesign, Inc.
发明人： Alyn P. Rockwood
IPC分类号： G06T15/10 , G06F17/50 , G06T17/10 , G06T17/30
CPC分类号： G06F17/50 , G06F17/10 , G06T15/10 , G06T17/10 , G06T17/30 , Y02T10/82
摘要： A method and system for computer aided design (CAD) is disclosed for designing geometric objects, wherein interpolation and/or blending between such objects is performed while deformation data is being input. Thus, a designer obtains immediate feedback to input modifications without separately entering a command (s) for performing such deformations. A novel N-sided surface generation technique is also disclosed herein to efficiently and accurately convert surfaces of high polynomial degree into a collection of lower degree surfaces. E.g., the N-sided surface generation technique disclosed herein subdivides parameter space objects (e.g., polygons) of seven or more sides into a collection of subpolygons, wherein each subpolygon has a reduced number of sides. More particularly, each subpolygon has 3 or 4 sides. The present disclosure is particularly useful for designing the shape of surfaces. Thus, the present disclosure is applicable to various design domains such as the design of, e.g., bottles, vehicles, and watercraft. Additionally, the present disclosure provides for efficient animation via repeatedly modifying surfaces of an animated object such as a representation of a face.
摘要翻译：公开了一种用于设计几何对象的计算机辅助设计（CAD）的方法和系统，其中在输入变形数据的同时执行这些对象之间的插值和/或混合。因此，设计者获得即时反馈以输入修改，而无需单独输入用于执行这种变形的命令。本文还公开了一种新颖的N侧表面生成技术，以有效且准确地将高次多项式的表面转换成较低表面的集合。例如，本文中公开的N侧表面生成技术将七个或更多个边的参数空间对象（例如，多边形）细分到子多边形的集合中，其中每个子多边形具有减少的边的数量。更具体地，每个子多边形具有3或4个边。本公开对于设计表面的形状特别有用。因此，本公开可应用于各种设计领域，例如瓶子，车辆和船舶的设计。另外，本公开通过重复地修改动画对象的表面（诸如面部表示）来提供有效的动画。

3. 发明授权

US07636091B2 Computational geometry using control geometry having at least two dimensions 有权
标题翻译：使用具有至少两个维度的控制几何的计算几何
公开(公告)号：US07636091B2
公开(公告)日：2009-12-22
申请号：US11733122
申请日：2007-04-09
申请人： Alyn P. Rockwood , Scott A. Hagen , Lance Hagen , John Lee
发明人： Alyn P. Rockwood , Scott A. Hagen , Lance Hagen , John Lee
IPC分类号： G06T17/00
CPC分类号： B66D3/006 , Y10S715/964
摘要： A method and system for computer aided design (CAD) is disclosed for designing geometric objects. The present invention interpolates and/or blends between such geometric objects sufficiently fast so that real time deformation of such objects occurs while deformation data is being input. Thus, a user designing with the present invention obtains immediate feedback to input modifications without separately entering a command for performing such deformations. The present invention utilizes novel computational techniques for blending between geometric objects, wherein weighted sums of points on the geometric objects are used in deriving a new blended geometric object. The present invention is particularly useful for designing the shape of surfaces. Thus, the present invention is applicable to various design domains such as the design of, e.g., bottles, vehicles, and watercraft. Additionally, the present invention provides for efficient animation via repeatedly modifying surfaces of an animated object such as a representation of a face.
摘要翻译：公开了一种用于计算机辅助设计（CAD）的设计方法和系统，用于设计几何对象。本发明在这种几何对象之间充分快速地内插和/或混合，使得在输入变形数据的同时发生这种物体的实时变形。因此，用本发明设计的用户可以立即反馈输入修改，而无需单独输入执行这种变形的命令。本发明利用新颖的计算技术来混合几何对象，其中几何对象上的点的加权和用于导出新的混合几何对象。本发明对于设计表面的形状特别有用。因此，本发明可应用于诸如瓶子，车辆和船舶的设计的各种设计领域。另外，本发明通过重复地修改诸如脸部表示的动画对象的表面来提供有效的动画。

4. 发明申请

US20090033658A1 COMPUTATIONAL GEOMETRY USING CONTROL GEOMETRY HAVING AT LEAST TWO DIMENSIONS 有权
标题翻译：使用具有至少两个维度的控制几何的计算几何
公开(公告)号：US20090033658A1
公开(公告)日：2009-02-05
申请号：US12253165
申请日：2008-10-16
申请人： Alyn Rockwood , Lance Hagen , Scott Hagen , John N. Lee
发明人： Alyn Rockwood , Lance Hagen , Scott Hagen , John N. Lee
IPC分类号： G06T17/00
CPC分类号： G06T17/30 , Y10S715/964
摘要： A method and system for computer aided design (CAD) is disclosed for designing geometric objects. The present invention interpolates and/or blends between such geometric objects sufficiently fast so that real time deformation of such objects occurs while deformation data is being input. Thus, a user designing with the present invention obtains immediate feedback to input modifications without separately entering a command for performing such deformations. The present invention utilizes novel computational techniques for blending between geometric objects, wherein weighted sums of points on the geometric objects are used in deriving a new blended geometric object. The present invention is particularly useful for designing the shape of surfaces. Thus, the present invention is applicable to various design domains such as the design of, e.g., bottles, vehicles, and watercraft. Additionally, the present invention provides for efficient animation via repeatedly modifying surfaces of an animated object such as a representation of a face.
摘要翻译：公开了一种用于计算机辅助设计（CAD）的设计方法和系统，用于设计几何对象。本发明在这种几何对象之间充分快速地内插和/或混合，使得在输入变形数据的同时发生这种物体的实时变形。因此，用本发明设计的用户可以立即反馈输入修改，而无需单独输入执行这种变形的命令。本发明利用新颖的计算技术来混合几何对象，其中几何对象上的点的加权和用于导出新的混合几何对象。本发明对于设计表面的形状特别有用。因此，本发明可应用于诸如瓶子，车辆和船舶的设计的各种设计领域。另外，本发明通过重复地修改动画对象的表面（例如脸部的表示）来提供有效的动画。

5. 发明申请

US20070176923A1 Computational Geometry Using Control Geometry Having At Least Two Dimensions 有权
标题翻译：使用控制几何的计算几何具有至少两个维度
公开(公告)号：US20070176923A1
公开(公告)日：2007-08-02
申请号：US11733122
申请日：2007-04-09
申请人： John Lee , Alyn Rockwood , Lance Hagen , Scott Hagen
发明人： John Lee , Alyn Rockwood , Lance Hagen , Scott Hagen
IPC分类号： G06T17/00
CPC分类号： B66D3/006 , Y10S715/964
摘要： A method and system for computer aided design (CAD) is disclosed for designing geometric objects. The present invention interpolates and/or blends between such geometric objects sufficiently fast so that real time deformation of such objects occurs while deformation data is being input. Thus, a user designing with the present invention obtains immediate feedback to input modifications without separately entering a command for performing such deformations. The present invention utilizes novel computational techniques for blending between geometric objects, wherein weighted sums of points on the geometric objects are used in deriving a new blended geometric object. The present invention is particularly useful for designing the shape of surfaces. Thus, the present invention is applicable to various design domains such as the design of, e.g., bottles, vehicles, and watercraft. Additionally, the present invention provides for efficient animation via repeatedly modifying surfaces of an animated object such as a representation of a face.
摘要翻译：公开了一种用于计算机辅助设计（CAD）的设计方法和系统，用于设计几何对象。本发明在这种几何对象之间充分快速地内插和/或混合，使得在输入变形数据的同时发生这种物体的实时变形。因此，用本发明设计的用户可以立即反馈输入修改，而无需单独输入执行这种变形的命令。本发明利用新颖的计算技术来混合几何对象，其中几何对象上的点的加权和用于导出新的混合几何对象。本发明对于设计表面的形状特别有用。因此，本发明可应用于诸如瓶子，车辆和船舶的设计的各种设计领域。另外，本发明通过重复地修改动画对象的表面（例如脸部的表示）来提供有效的动画。

6. 发明授权

US07236167B2 Computational geometry using control geometry having at least two dimensions 有权
标题翻译：使用具有至少两个维度的控制几何的计算几何
公开(公告)号：US07236167B2
公开(公告)日：2007-06-26
申请号：US10689693
申请日：2003-10-20
申请人： John N. Lee , Alyn Rockwood , Lance Hagen , Scott Hagen
发明人： John N. Lee , Alyn Rockwood , Lance Hagen , Scott Hagen
IPC分类号： G06T15/00
CPC分类号： G06T17/30 , Y10S715/964
摘要： A method and system for computer aided design (CAD) is disclosed for designing geometric objects. The present invention interpolates and/or blends between such geometric objects sufficiently fast so that real time deformation of such objects occurs while deformation data is being input. Thus, a user designing with the present invention obtains immediate feedback to input modifications without separately entering a command for performing such deformations. The present invention utilizes novel computational techniques for blending between geometric objects, wherein weighted sums of points on the geometric objects are used in deriving a new blended geometric object. The present invention is particularly useful for designing the shape of surfaces. Thus, the present invention is applicable to various design domains such as the design of, e.g., bottles, vehicles, and watercraft. Additionally, the present invention provides for efficient animation via repeatedly modifying surfaces of an animated object such as a representation of a face.
摘要翻译：公开了一种用于计算机辅助设计（CAD）的设计方法和系统，用于设计几何对象。本发明在这种几何对象之间充分快速地内插和/或混合，使得在输入变形数据的同时发生这种物体的实时变形。因此，用本发明设计的用户可以立即反馈输入修改，而无需单独输入执行这种变形的命令。本发明利用新颖的计算技术来混合几何对象，其中几何对象上的点的加权和用于导出新的混合几何对象。本发明对于设计表面的形状特别有用。因此，本发明可应用于诸如瓶子，车辆和船舶的设计的各种设计领域。另外，本发明通过重复地修改动画对象的表面（例如脸部的表示）来提供有效的动画。

7. 发明授权

US08836701B1 Surface patch techniques for computational geometry 有权
标题翻译：用于计算几何的表面贴片技术
公开(公告)号：US08836701B1
公开(公告)日：2014-09-16
申请号：US13607590
申请日：2012-09-07
申请人： Alyn P. Rockwood
发明人： Alyn P. Rockwood
IPC分类号： G06T15/00 , G06T17/00 , G06T15/30 , G06T11/20
CPC分类号： G06F17/50 , G06F17/10 , G06T15/10 , G06T17/10 , G06T17/30 , Y02T10/82
摘要： A method and system for computer aided design (CAD) is disclosed for designing geometric objects, wherein interpolation and/or blending between such objects is performed while deformation data is being input. Thus, a designer obtains immediate feedback to input modifications without separately entering a command(s) for performing such deformations. A novel N-sided surface generation technique is also disclosed herein to efficiently and accurately convert surfaces of high polynomial degree into a collection of lower degree surfaces. E.g., the N-sided surface generation technique disclosed herein subdivides parameter space objects (e.g., polygons) of seven or more sides into a collection of subpolygons, wherein each subpolygon has a reduced number of sides. More particularly, each subpolygon has 3 or 4 sides. The present disclosure is particularly useful for designing the shape of surfaces. Thus, the present disclosure is applicable to various design domains such as the design of, e.g., bottles, vehicles, and watercraft. Additionally, the present disclosure provides for efficient animation via repeatedly modifying surfaces of an animated object such as a representation of a face.
摘要翻译：公开了一种用于设计几何对象的计算机辅助设计（CAD）的方法和系统，其中在输入变形数据的同时执行这些对象之间的插值和/或混合。因此，设计者获得即时反馈以输入修改，而无需单独输入用于执行这种变形的命令。本文还公开了一种新颖的N侧表面生成技术，以有效且准确地将高次多项式的表面转换成较低表面的集合。例如，本文中公开的N侧表面生成技术将七个或更多个边的参数空间对象（例如，多边形）细分到子多边形的集合中，其中每个子多边形具有减少的边的数量。更具体地，每个子多边形具有3或4个边。本公开对于设计表面的形状特别有用。因此，本公开可应用于各种设计领域，例如瓶子，车辆和船舶的设计。另外，本公开通过重复地修改动画对象的表面（诸如面部表示）来提供有效的动画。

8. 发明授权

US07755623B2 Computational geometry using control geometry having at least two dimensions 有权
标题翻译：使用具有至少两个维度的控制几何的计算几何
公开(公告)号：US07755623B2
公开(公告)日：2010-07-13
申请号：US12253165
申请日：2008-10-16
申请人： Alyn P. Rockwood , Scott A. Hagen , Lance Hagen , John Lee
发明人： Alyn P. Rockwood , Scott A. Hagen , Lance Hagen , John Lee
IPC分类号： G06T17/00
CPC分类号： G06T17/30 , Y10S715/964
摘要： A method and system for computer aided design (CAD) is disclosed for designing geometric objects. The present invention interpolates and/or blends between such geometric objects sufficiently fast so that real time deformation of such objects occurs while deformation data is being input. Thus, a user designing with the present invention obtains immediate feedback to input modifications without separately entering a command for performing such deformations. The present invention utilizes novel computational techniques for blending between geometric objects, wherein weighted sums of points on the geometric objects are used in deriving a new blended geometric object. The present invention is particularly useful for designing the shape of surfaces. Thus, the present invention is applicable to various design domains such as the design of, e.g., bottles, vehicles, and watercraft. Additionally, the present invention provides for efficient animation via repeatedly modifying surfaces of an animated object such as a representation of a face.
摘要翻译：公开了一种用于计算机辅助设计（CAD）的设计方法和系统，用于设计几何对象。本发明在这种几何对象之间充分快速地内插和/或混合，使得在输入变形数据的同时发生这种物体的实时变形。因此，用本发明设计的用户可以立即反馈输入修改，而无需单独输入执行这种变形的命令。本发明利用新颖的计算技术来混合几何对象，其中几何对象上的点的加权和用于导出新的混合几何对象。本发明对于设计表面的形状特别有用。因此，本发明可应用于诸如瓶子，车辆和船舶的设计的各种设计领域。另外，本发明通过重复地修改动画对象的表面（例如脸部的表示）来提供有效的动画。

9. 发明授权

US07196702B1 Geometric design and modeling system using control geometry 有权
标题翻译：几何设计和建模系统使用控制几何
公开(公告)号：US07196702B1
公开(公告)日：2007-03-27
申请号：US09360029
申请日：1999-07-23
申请人： John N. Lee , Alyn Rockwood , Lance Hagen , Scott Hagen
发明人： John N. Lee , Alyn Rockwood , Lance Hagen , Scott Hagen
IPC分类号： G06T15/00
CPC分类号： G06T17/30 , Y10S715/964
摘要： A method and system for computer aided design (CAD) is disclosed for designing geometric objects. The present invention interpolates and/or blends between such geometric objects sufficiently fast so that real time deformation of such objects occurs while deformation data is being input. Thus, a user designing with the present invention obtains immediate feedback to input modifications without separately entering a command for performing such deformations. The present invention utilizes novel computational techniques for blending between geometric objects, wherein weighted sums of points on the geometric objects are used in deriving a new blended geometric object. The present invention is particularly useful for designing the shape of surfaces. Thus, the present invention is applicable to various design domains such as the design of, e.g., bottles, vehicles, and watercraft. Additionally, the present invention provides for efficient animation via repeatedly modifying surfaces of an animated object such as a representation of a face.
摘要翻译：公开了一种用于计算机辅助设计（CAD）的设计方法和系统，用于设计几何对象。本发明在这种几何对象之间充分快速地内插和/或混合，使得在输入变形数据的同时发生这种物体的实时变形。因此，用本发明设计的用户可以立即反馈输入修改，而无需单独输入执行这种变形的命令。本发明利用新颖的计算技术来混合几何对象，其中几何对象上的点的加权和用于导出新的混合几何对象。本发明对于设计表面的形状特别有用。因此，本发明可应用于诸如瓶子，车辆和船舶的设计的各种设计领域。另外，本发明通过重复地修改动画对象的表面（例如脸部的表示）来提供有效的动画。

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