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    • 3. 发明授权
    • Computer-implemented process and system for creating a parametric surface
    • 用于创建参数表面的计算机实现过程和系统
    • US07952575B2
    • 2011-05-31
    • US11780792
    • 2007-07-20
    • Sébastien Rosel
    • Sébastien Rosel
    • G60T17/00
    • G06T17/30
    • The invention is directed to a computer program product, a computer system, computer apparatus and a computer-implemented method for creating a parametric surface. The invention provides a base mesh having a plurality of outer or inner vertices with valence greater than two. The vertices define faces and at least one of the vertices is an extraordinary vertex. The invention converts faces of the base mesh into parametric elementary surfaces and trims at least one of said parametric elementary surfaces located in the vicinity of the extraordinary vertex. Trimming is performed according to: (i) at least two parametric elementary surfaces adjacent to a subject parametric elementary surface; and (ii) the base mesh. Next the invention constructs at least one parametric elementary surface, adjacent to the trimmed parametric elementary surface, wherein the resulting parametric elementary surfaces form the parametric surface.
    • 本发明涉及一种用于创建参数表面的计算机程序产品,计算机系统,计算机设备和计算机实现的方法。 本发明提供了具有多于两个价态的多个外顶点或内顶点的基网。 顶点定义面,并且顶点中的至少一个是非常的顶点。 本发明将基网的面转换为参数基本表面,并修剪位于非常顶点附近的至少一个参数元素表面。 根据以下步骤执行修剪:(i)与主题参数基本表面相邻的至少两个参数基本表面; 和(ii)基网。 接下来,本发明构造了与修剪的参数元素表面相邻的至少一个参数元素表面,其中所得到的参数元素表面形成参数表面。
    • 4. 发明授权
    • System for approximating and displaying three dimensional CAD data, and system for executing method thereof
    • US07295202B2
    • 2007-11-13
    • US10506762
    • 2003-12-26
    • Tsuyoshi HaradaShintaro Nakayama
    • Tsuyoshi HaradaShintaro Nakayama
    • G60T17/00
    • G06T17/20G06T17/205G06T17/30
    • The objective of the present invention is to provide a method for approximating and displaying a three-dimensional object represented by CAD data. In particular, the present invention provides a method for approximating CAD data representing a three-dimensional object, comprising steps of: (a) generating a mesh with mesh lines for approximating each face of the three-dimensional object represented by the CAD data within a rough conversion tolerance with respect to a specified conversion tolerance; (b) approximating a boundary edge surrounding and defining each individual face with a plurality of curves within the specified conversion tolerance, approximating each of the curves with a polyline comprising points and connecting lines within the rough conversion tolerance to define boundary points which are the points of the polylines, and obtaining a vector tangential to the curve at each of the boundary points; (c) generating polygons with three or four vertices by connecting internal points which are points of intersection of the mesh lines inside the boundary edge, and by connecting the boundary points and the internal points that are adjacent to and inside the boundary edge; (d) calculating a vector normal to the face at each of the vertices of each of the polygons, storing information identifying the vertices and the corresponding normal vectors, and storing the tangential vector at each of the boundary points obtained at the step (b); (e) converting each of the polygons with three or four vertices to a triangular or quadrilateral surface by using a plurality of control points obtained by processing the information identifying the vertices, the normal vectors, and the tangential vectors; and (f) examining if each of the triangular or quadrilateral surfaces is close to the face represented by the CAD data within the specified conversion tolerance, and if not, regenerating a mesh with a narrower mesh width and more mesh lines on the face to repeat the steps (c)-(e) and (f). It is preferable that the polygons are triangles.
    • 5. 发明授权
    • Systems and methods for voxel warping
    • 体素翘曲的系统和方法
    • US06867770B2
    • 2005-03-15
    • US10017703
    • 2001-12-14
    • Bradley A. Payne
    • Bradley A. Payne
    • G06T17/00G06T17/10G09G5/00G60T17/00
    • G06T17/00G06T17/10
    • Systems and methods for calculating a modification of a geometrical shape by applying an inverse modification function to an array representing the shape. An array representing the geometrical shape is defined on a multi-dimensional space. A modification function is used to modify the geometrical shape. A user or a programmed computer can select the modification function. The computer applies an inverse of the modification function to the array. The computer deduces a change in the geometrical shape from the modified array. An advantage of the system and method is the ability to compute shape changes in certain situations where a direct computation is cumbersome or otherwise inconvenient.
    • 通过对表示形状的阵列应用逆修正函数来计算几何形状的修改的系统和方法。 在多维空间上定义表示几何形状的数组。 修改函数用于修改几何形状。 用户或编程的计算机可以选择修改功能。 计算机将修改函数的反向应用于数组。 计算机从修改的数组中推导出几何形状的变化。 系统和方法的一个优点是在直接计算麻烦或其他不便的某些情况下计算形状变化的能力。