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    Creation of a Linear or Planar Shape
    1.
    发明申请
    Creation of a Linear or Planar Shape 有权
    创建线性或平面形状

    公开(公告)号：US20090070075A1

    公开(公告)日：2009-03-12

    申请号：US12204309

    申请日：2008-09-04

    Applicant: Wolfgang Funk

    Inventor： Wolfgang Funk

    IPC: G06F17/50 ,  G06F19/00

    CPC classification number: G06T1/0028 ,  G06T17/30 ,  G06T2201/0051 ,  G06T2201/0203

    Abstract: A watermark is embossed into a model of a linear or surface shape, especially a non-uniform rational B-splines model. The model has a plurality of splines, the combination of which forms the shape. Control points are assigned to the splines such that a course of the respectively associated spline can be modified and thus be controlled by changing the position of the control points and/or weights of the control points. Nodes which are located in a section of the shape that is formed by the respectively associated spline are allocated to the splines. In order to change the shape (the modified curve runs through point Cmod) when a watermark is embossed into the model, the position of at least one control point is modified, the weight by which a control point affects the shape and thus influences at least one area of the shape is modified, and/or an additional control point is inserted into the model. At least one additional node is inserted into the model (new node at u=1.1875 on the modified curve) in order to obtain information on how the change of the shape can be reversed.

    Abstract translation: 水印被压印成线性或表面形状的模型，特别是非均匀有理B样条模型。 该模型具有多个花键，其组合形成形状。 控制点被分配给样条，使得可以修改分别相关联的样条的过程，并且因此通过改变控制点的位置和/或控制点的权重来控制。 位于由分别相关联的样条线形成的形状的部分中的节点被分配给样条。 为了在水印被压印到模型中时改变形状（修改后的曲线贯穿点Cmod），至少一个控制点的位置被修改，控制点对其形状的影响至少影响至少 形状的一个区域被修改，和/或附加的控制点被插入到模型中。 在模型中插入至少一个附加节点（修改曲线上的u = 1.1875处的新节点），以获得关于形状变化如何反转的信息。

    Creation of a linear or planar shape
    2.
    发明授权
    Creation of a linear or planar shape 有权
    创建线性或平面形状

    公开(公告)号：US08036862B2

    公开(公告)日：2011-10-11

    申请号：US12204309

    申请日：2008-09-04

    Applicant: Wolfgang Funk

    Inventor： Wolfgang Funk

    IPC: G06F7/60 ,  G06F19/00

    CPC classification number: G06T1/0028 ,  G06T17/30 ,  G06T2201/0051 ,  G06T2201/0203

    Abstract: A watermark is embossed into a model of a linear or surface shape, especially a non-uniform rational B-splines model. The model has a plurality of splines, the combination of which forms the shape. Control points are assigned to the splines such that a course of the respectively associated spline can be modified and thus be controlled by changing the position of the control points and/or weights of the control points. Nodes which are located in a section of the shape that is formed by the respectively associated spline are allocated to the splines. In order to change the shape (the modified curve runs through point Cmod) when a watermark is embossed into the model, the position of at least one control point is modified, the weight by which a control point affects the shape and thus influences at least one area of the shape is modified, and/or an additional control point is inserted into the model. At least one additional node is inserted into the model (new node at u=1.1875 on the modified curve) in order to obtain information on how the change of the shape can be reversed.

    Abstract translation: 水印被压印成线性或表面形状的模型，特别是非均匀有理B样条模型。 该模型具有多个花键，其组合形成形状。 控制点被分配给样条，使得可以修改分别相关联的样条的过程，并且因此通过改变控制点的位置和/或控制点的权重来控制。 位于由分别相关联的样条线形成的形状的部分中的节点被分配给样条。 为了在水印被压印到模型中时改变形状（修改后的曲线贯穿点Cmod），至少一个控制点的位置被修改，控制点对其形状的影响至少影响至少 形状的一个区域被修改，和/或附加的控制点被插入到模型中。 在模型中插入至少一个附加节点（修改曲线上的u = 1.1875处的新节点），以获得关于形状变化如何反转的信息。

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