公开(公告)号：US4855921A

公开(公告)日：1989-08-08

申请号：US57939

申请日：1987-05-18

申请人： Masaki Seki ,  Norihisa Amano

发明人： Masaki Seki ,  Norihisa Amano

IPC分类号： G05B19/402 ,  G05B19/4097 ,  G05B19/41 ,  G06F17/50

CPC分类号： G05B19/41 ,  G05B2219/35151

摘要： This invention relates to a method of creating a complex curved surface (100) by combining at least first and second three-dimensional curved surfaces (101, 102), which method includes a step of inputting data for specifying first and second three-dimensional curved surfaces (101, 102), a step of obtaining coordinates of a j-th point Q(i,j) along an i-th path L.sub.c (i), where the second three-dimensional curved surface (102) is defined by a set of plural paths, a step of determining, with regard to the first three-dimensional curved surface (101), whether the point Q(i,j) is on the same side as a (j-1)th point Q(i,j-1) along the i-th path, a step of storing the point Q(i,j) if it is on the same side and, if it is not on the same side, obtaining and storing the coordinates of a point S(i,j) on the first three-dimensional curved surface (101) corresponding to a projected point obtained by projecting the point Q(i,j) on a predetermined plane, and thereafter executing similar processing upon performing the operation j+1.fwdarw.j and obtaining position data indicative of the next point Q(i,j) on the i-th path, obtaining a point on the complex curved surface (100) corresponding to the i-th path, and creating the complex curved surface by a set of these points.

摘要翻译： PCT No.PCT / JP86 / 00470 Sec。 371日期1987年5月18日 102（e）日期1987年5月18日PCT提交1986年9月12日PCT公布。 出版物WO87 / 01831 日期：1987年3月26日。本发明涉及通过组合至少第一和第二三维曲面（101,102）来形成复曲面（100）的方法，该方法包括输入用于指定的数据的步骤 第一和第二三维曲面（101,102），沿第i个路径Lc（i）获得第j个点Q（i，j）的坐标的步骤，其中第二个三维曲面 （102）由一组多个路径定义，对于第一三维曲面（101），确定点Q（i，j）是否与（j- 1）第i个点Q（i，j-1），如果它在同一侧存储点Q（i，j）的步骤，并且如果不在同一侧，获得 并且将点S（i，j）的坐标存储在与通过将点Q（i，j）投影在预定平面上而获得的投影点对应的第一三维曲面（101）上，然后执行simila 在执行操作j + 1-> j并且获得指示第i个路径上的下一个点Q（i，j）的位置数据，获得对应于第i个路径的复曲面（100）上的点， 并通过一组这些点创建复杂的曲面。

公开(公告)号：US4855926A

公开(公告)日：1989-08-08

申请号：US32516

申请日：1987-02-12

申请人： Masaki Seki ,  Norihisa Amano

发明人： Masaki Seki ,  Norihisa Amano

IPC分类号： G05B19/4093 ,  G05B19/41

CPC分类号： G05B19/41 ,  G05B2219/34098

摘要： The invention relates to a complex curved surface creation method for generating a curved surface in which roundness (ARC) of a radius R is provided at a portion where a first curve (11) approximated by straight lines on a first three-dimensional curved surface (1) intersects a second curve (12) approximated by straight lines on a second three-dimensional curved surface (2). Among line segments (P.sub.i P.sub.i-1) constituting the first curve (11) and line segments (P.sub.j P.sub.j+1) constituting the second curve (12), one line segment is selected from each curve in the order of their nearness to a point of intersection (P.sub.0) of the two curves. Next, it is determined whether a circular arc of radius R to which both of the line segments (P.sub.i P.sub.i-1, P.sub.j P.sub.j+1) are tangent exists. If such a circular arc does exist, the circular arc is inserted at the portion where the two curves intersect, thereby rounding the intersection. If such a circular arc does not exist, the next nearest line segments to the point of intersection (P.sub.0) are selected, similar processing is repeated and a circular arc is inserted at the portion where the two curves intersect, thereby rounding the intersection.

摘要翻译： PCT No.PCT / JP86 / 00310 Sec。 371日期1987年2月12日 102（e）日期1987年2月12日PCT Filed 1986年6月19日PCT公布。 出版物WO86 / 07645 日期：1986年12月31日。本发明涉及一种用于产生弯曲表面的复曲面创建方法，其中在由直线近似的第一曲线（11）的部分上设置半径R的圆度（ARC） 第一三维曲面（1）与在第二三维曲面（2）上由直线近似的第二曲线（12）相交。 在构成第一曲线（11）的线段（PiPi-1）和构成第二曲线（12）的线段（PjPj + 1）之间，从每个曲线以与它们的交点接近的顺序选择一个线段 （P0）。 接下来，确定存在两个线段（PiPi-1，PjPj + 1）是否相切的半径R的圆弧。 如果存在这样的圆弧，则在两条曲线相交的部分插入圆弧，从而在交叉点四舍五入。 如果不存在这样的圆弧，则选择相交点（P0）的下一个最近的线段，重复类似的处理，并且在两条曲线相交的部分插入圆弧，从而在交叉点四舍五入。

公开(公告)号：US4870597A

公开(公告)日：1989-09-26

申请号：US57932

申请日：1987-05-13

申请人： Masaki Seki ,  Norihisa Amano

发明人： Masaki Seki ,  Norihisa Amano

IPC分类号： G05B19/4093 ,  G05B19/4097 ,  G05B19/41 ,  G06F17/50

CPC分类号： G05B19/41 ,  G05B2219/35151

摘要： This invention relates to a method of creating a complex curved surface, which includes a step of from data specifying three-dimensional curved surfaces (12a, 12b). Data is input specifying a reference line of intersection (CL.sub.i) on the XY plane (10) and a rule for generating lines of intersection on the XY plane on the basis of the above-mentioned reference line of intersection. Also a range (SCR1, SCR2) is specified for each of the three-dimensional curved surfaces (12a, 12b) to obtain a section curve on the three-dimensional curved surface, for a section corresponding to one of the lines of intersection. The method includes obtaining first and second section curves (13a', 13b') in the range (SCR 1, SCR2) when first and second three-dimensional curved surfaces (12a, 12b) are cut by a section whose line of intersection with the XY plane is an i-th line of intersection (CL.sub.i). Then, a point of intersection (CR.sub.i) between the two section curves (13a', 13b') is obtained. Thereby, a set of first and second section curve segments A1 - CR.sub.i, CR.sub.i - B2), having the point of intersection (CR.sub.i) as a boundary, are used to define a section curve of the complex curved surface (11). The complex curved surface (11) is generated from sets of these section curves.

公开(公告)号：US4855927A

公开(公告)日：1989-08-08

申请号：US36680

申请日：1987-03-16

申请人： Masaki Seki ,  Norihisa Amano

发明人： Masaki Seki ,  Norihisa Amano

IPC分类号： G05B19/4093 ,  G05B19/41

CPC分类号： G05B19/41 ,  G05B2219/35151

摘要： The invention relates to a method of creating a complex curved surface (CPS) comprising at least two three-dimensional curved surfaces (10a, 10b), particularly a method of creating a complex curved surface in which roundness is provided at a portion where first and second curved surfaces intersect. In the curved surface creation method, rounding is performed by obtaining normal vectors V.sub.1, V.sub.2 of first and second curved surfaces (10a, 10b) at a point of intersection P.sub.0 of first and second section curves (11, 12) obtained when the first and second curved surfaces are cut by a section (13) perpendicular to the XY plane, calculating an angle .theta. defined by V.sub.1 .times.V.sub.2 and a normal vector V of the section (13), calculating R' in accordance with the equationR'=(1+1/.vertline.cos.theta..vertline.).multidot.R/2when roundness of radius R is commanded, and inserting a circular arc of radius R' at the portion where the first and second curved surfaces intersect. R' is the average value of the major axis (=R/.vertline.cos.theta..vertline.) and minor axis (=R) of an ellipse.

摘要翻译： PCT No.PCT / JP86 / 00374 Sec。 371日期1987年3月16日 102（e）1987年3月16日PCT PCT 1986年7月18日PCT公布。 公开号WO87 / 00651 日本1987年1月29日。本发明涉及一种创建包括至少两个三维曲面（10a，10b）的复曲面（CPS）的方法，特别是创建复曲面的方法，其中圆度为 设置在第一和第二曲面相交的部分。 在曲面创建方法中，通过在第一和第二曲面（11,12）的交点P0处获得第一和第二曲面（11,12）的第一和第二曲面（10a，10b）的法线矢量V1，V2， 通过垂直于XY平面的部分（13）切割第二曲面，计算由V1xV2定义的角度θ和部分（13）的法向量v，根据等式R'=（1+ 当半径R的圆度被命令时，将半径R'的圆弧插入到第一和第二曲面相交的部分处，从而将半径R'的圆弧插入1 / |cosθ|）xR / 2。 R'是椭圆的长轴（= R / |cosθ|）和短轴（= R）的平均值。

公开(公告)号：US4825377A

公开(公告)日：1989-04-25

申请号：US928288

申请日：1986-10-23

申请人： Masaki Seki ,  Norihisa Amano

发明人： Masaki Seki ,  Norihisa Amano

IPC分类号： G05B19/4093 ,  G05B19/4097 ,  G05B19/41 ,  G06F17/50 ,  G05B19/403

CPC分类号： G05B19/41 ,  G05B2219/35151

摘要： This invention relates to a complex curved surface creation method for creating a complex curved surface (201) composed of at least two three-dimensional curved surfaces (201a, 201b, 201c). The complex curve surface creation method comprises a first step of inputting data for specifying each of the three-dimensional curved surfaces (201a-201cand inputting data specifying one line of intersection (CLi) on a predetermined plane e.g. an X-Y plane (203) as well as a rule for specifying a number of lines of intersection on the predetermined plane on the basis of the line of intersection, a second step of finding a section curve (SCi) of the complex curved surface (201) based on a section (202) which has an i-th line of intersection, among the number of lines of intersection, as its line of intersection with the predetermined plane (203), and a third step of specifying the complex curved surface (201) by assembling the section curves (SCi; i=1, 2, 3, . . . ) based on sections corresponding to respective ones of the lines of intersection.

摘要翻译： PCT No.PCT / JP86 / 00100 Sec。 371日期1986年10月23日第 102（e）日期1986年10月23日PCT提交1986年2月28日PCT公布。 出版物WO86 / 05289 日本公报1986年9月12日。本发明涉及一种用于形成由至少两个三维曲面（201a，201b，201c）构成的复曲面（201）的复曲面创建方法。 复曲线表面生成方法包括：第一步骤，输入用于指定三维曲面（201a-201c）中的每一个的数据，以及在预定平面（例如XY平面（203））上指定一条交叉路口（CLi）的输入数据 作为基于交叉线规定在预定平面上的交叉线数目的规则，基于部分（202）找到复曲面（201）的截面曲线（SCi）的第二步骤， 具有第i行的交点，作为与该预定平面（203）的交点的交点线，以及第三步骤，通过组合曲线（201）来指定复曲面（201） 基于与相应交叉线对应的部分，SCi; i = 1,2,3，...）。