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1. 发明申请

US20100153074A1 DESIGN SUPPORT APPARATUS 有权
标题翻译：设计支持设备
公开(公告)号：US20100153074A1
公开(公告)日：2010-06-17
申请号：US12628349
申请日：2009-12-01
申请人： Hitoshi YANAMI , Hirokazu Anai , Tsuneo Nakata , Hidenao Iwane
发明人： Hitoshi YANAMI , Hirokazu Anai , Tsuneo Nakata , Hidenao Iwane
IPC分类号： G06F17/50
CPC分类号： G06F17/11 , G06F2217/08
摘要： A design support apparatus for determining a plurality of objective functions for modeling an object having a plurality of elements, each of the elements providing variable geometrical parameters, the design support apparatus includes a memory for storing the variable geometrical parameters and a processor for executing a process including: determining boundary information associated with specified geometrical parameters of the elements which indicate a state of contact between the elements, dividing the variable geometrical parameters into a plurality of groups on the basis of the boundary information, and determining the plurality of objective functions for each of the groups by using the variable geometrical parameters.
摘要翻译：一种用于确定多个目标函数的设计支持装置，用于对具有多个元素的对象进行建模，所述对象具有提供可变几何参数的每个元素，所述设计支持设备包括用于存储可变几何参数的存储器和用于执行过程包括：确定与所述元件的指定几何参数相关联的边界信息，所述边界信息指示所述元件之间的接触状态，基于所述边界信息将所述可变几何参数划分为多个组，以及确定所述多个目标函数的组合通过使用可变几何参数。

2. 发明申请

US20100332195A1 MULTI-PURPOSE OPTIMIZATION DESIGN SUPPORT APPARATUS AND METHOD, AND RECORDING MEDIUM STORING PROGRAM 审中-公开
标题翻译：多用途优化设计支持设备和方法以及记录中型存储程序
公开(公告)号：US20100332195A1
公开(公告)日：2010-12-30
申请号：US12823621
申请日：2010-06-25
申请人： Hitoshi YANAMI , Hirokazu Anai , Hidenao Iwane , Tsuneo Nakata
发明人： Hitoshi YANAMI , Hirokazu Anai , Hidenao Iwane , Tsuneo Nakata
IPC分类号： G06F17/50
CPC分类号： G06F17/50 , G06F2217/08
摘要： A design support apparatus includes a parameter set generation unit configured to obtain a plurality of types of parameters and sequentially generates parameter sets while sequentially changing each parameter, a design object shape data generation unit configured to generate design object shape data based on the parameter set and initial shape data representing an initial shape of the design object shape, a geometric penalty function value calculation unit configured to calculate a geometric penalty function value indicating suitability of geometric characteristics of the design object shape based on the design object shape data, an objective function calculation control unit configured to determine whether or not the parameter set is used to calculate an objective function based on the geometric penalty function value and an optimal value of the objective function, and an objective function calculation unit configured to calculate the objective function based on the parameter set.
摘要翻译：一种设计支持装置，包括参数集生成单元，被配置为获得多种类型的参数，并且在顺序地改变每个参数的同时依次生成参数集;设计对象形状数据生成单元，被配置为基于参数集生成设计对象形状数据;以及表示设计对象形状的初始形状的初始形状数据;几何惩罚函数值计算单元，被配置为基于设计对象形状数据计算表示设计对象形状的几何特征的适合性的几何惩罚函数值，目标函数计算控制单元，被配置为基于所述几何惩罚函数值和所述目标函数的最优值来确定所述参数集是否用于计算目标函数;以及目标函数计算单元，被配置为基于所述参数来计算所述目标函数组。

3. 发明申请

US20090182538A1 MULTI-OBJECTIVE OPTIMUM DESIGN SUPPORT DEVICE USING MATHEMATICAL PROCESS TECHNIQUE, ITS METHOD AND PROGRAM 审中-公开
标题翻译：使用数学过程技术的多目标最优设计支持设备及其方法和程序
公开(公告)号：US20090182538A1
公开(公告)日：2009-07-16
申请号：US12347585
申请日：2008-12-31
申请人： Hitoshi Yanami , Hirokazu Anai , Tsuneo Nakata , Naozumi Tsuda
发明人： Hitoshi Yanami , Hirokazu Anai , Tsuneo Nakata , Naozumi Tsuda
IPC分类号： G06F17/10
CPC分类号： G06F17/11 , G06F17/50 , G06F2217/08 , G11B5/6064 , G11B5/6082
摘要： A unit 101 calculates a plurality of sets of objective functions of sample sets of input parameters. A unit 102 approximates the objective functions using a polynomial on the basis of the calculation result of the unit 101. A unit 103 calculates a logical expression indicating a logical relation between arbitrary two or three objective functions, of the plurality of mathematically approximated objective functions as an inter-objective function logical expression by a QE method. A unit 104 displays areas that the values of the objective functions can take as usable areas according to the inter-objective function logical expression. Units 105 and 106 determine an optimum set of design parameters by limiting the sets of design parameters to corresponding sets of design parameters in the neighborhood of a Pareto boundary on the basis of the Pareto boundary of an objective function recognized from the usable areas displayed.
摘要翻译：单元101计算输入参数的样本集合的多组目标函数集合。单元102基于单元101的计算结果使用多项式近似目标函数。单元103计算指示多个数学近似目标函数中的任意两个或三个目标函数之间的逻辑关系的逻辑表达式，如通过QE方法的一个目标函数逻辑表达式。单元104根据目标函数逻辑表达式显示目标函数的值可以作为可用区域的区域。单元105和106基于从所显示的可用区域识别的目标函数的帕累托边界，将设计参数集合限制在帕累托边界附近的相应设计参数集合，来确定最佳设计参数集合。

4. 发明授权

US08676548B2 Support apparatus using objective function 有权
标题翻译：支持装置使用目标函数
公开(公告)号：US08676548B2
公开(公告)日：2014-03-18
申请号：US12628349
申请日：2009-12-01
申请人： Hitoshi Yanami , Hirokazu Anai , Tsuneo Nakata , Hidenao Iwane
发明人： Hitoshi Yanami , Hirokazu Anai , Tsuneo Nakata , Hidenao Iwane
IPC分类号： G06F7/60 , G06F17/10
CPC分类号： G06F17/11 , G06F2217/08
摘要： A design support apparatus for determining a plurality of objective functions for modeling an object having a plurality of elements, each of the elements providing variable geometrical parameters, the design support apparatus includes a memory for storing the variable geometrical parameters and a processor for executing a process including: determining boundary information associated with specified geometrical parameters of the elements which indicate a state of contact between the elements, dividing the variable geometrical parameters into a plurality of groups on the basis of the boundary information, and determining the plurality of objective functions for each of the groups by using the variable geometrical parameters.
摘要翻译：一种用于确定多个目标函数的设计支持装置，用于对具有多个元素的对象进行建模，所述对象具有提供可变几何参数的每个元素，所述设计支持设备包括用于存储可变几何参数的存储器和用于执行过程包括：确定与所述元件的指定几何参数相关联的边界信息，所述边界信息指示所述元件之间的接触状态，基于所述边界信息将所述可变几何参数划分为多个组，以及确定所述多个目标函数的组合通过使用可变几何参数。

5. 发明授权

US08315843B2 Multi-objective optimal design support device, method and program storage medium 有权
标题翻译：多目标优化设计支持设备，方法和程序存储介质
公开(公告)号：US08315843B2
公开(公告)日：2012-11-20
申请号：US12347648
申请日：2008-12-31
申请人： Hirokazu Anai , Hitoshi Yanami , Tsuneo Nakata
发明人： Hirokazu Anai , Hitoshi Yanami , Tsuneo Nakata
IPC分类号： G06F7/60 , G06F17/10 , G06F9/44 , G06F13/10 , G06F13/12
CPC分类号： G06F17/50 , G06F2217/08 , G11B5/6064 , G11B5/6082
摘要： An objective function can be mathematically approximated using a prescribed number of sample sets of design parameters and sets of a plurality of objective functions computed corresponding to them. A logical expression indicating a relation between or among arbitrary two or three objective functions of the plurality of mathematically approximated objective functions is computed as an inter-objective-function logical expression and a region that the arbitrary objective function values can take is displayed as a feasible region in an objective space corresponding to the arbitrary objective functions. Furthermore, a point or area in a design space corresponding to arbitrary design parameters corresponding to a point or area specified by a user in the displayed feasible region is displayed.
摘要翻译：可以使用规定数量的设计参数的样本集合和对应于它们计算的多个目标函数的集合来数学地近似目标函数。计算表示多个数学近似目标函数中任意两个或三个目标函数之间或之间的关系的逻辑表达式作为对象间函数逻辑表达式，并且将任意目标函数值可以采取的区域显示为可行的对应于任意目标函数的客观空间中的区域。此外，显示对应于在显示的可行区域中由用户指定的点或区域对应的任意设计参数的设计空间中的点或区域。

6. 发明申请

US20090182539A1 MULTI-OBJECTIVE OPTIMAL DESIGN SUPPORT DEVICE, METHOD AND PROGRAM STORAGE MEDIUM 有权
标题翻译：多目标优化设计支持设备，方法和程序存储介质
公开(公告)号：US20090182539A1
公开(公告)日：2009-07-16
申请号：US12347648
申请日：2008-12-31
申请人： Hirokazu Anai , Hitoshi Yanami , Tsuneo Nakata
发明人： Hirokazu Anai , Hitoshi Yanami , Tsuneo Nakata
IPC分类号： G06F7/60
CPC分类号： G06F17/50 , G06F2217/08 , G11B5/6064 , G11B5/6082
摘要： An objective function can be mathematically approximated using a prescribed number of sample sets of design parameters and sets of a plurality of objective functions computed corresponding to them. A logical expression indicating a relation between or among arbitrary two or three objective functions of the plurality of mathematically approximated objective functions is computed as an inter-objective-function logical expression and a region that the arbitrary objective function values can take is displayed as a feasible region in an objective space corresponding to the arbitrary objective functions. Furthermore, a point or area in a design space corresponding to arbitrary design parameters corresponding to a point or area specified by a user in the displayed feasible region is displayed.
摘要翻译：可以使用规定数量的设计参数的样本集合和对应于它们计算的多个目标函数的集合来数学地近似目标函数。计算表示多个数学近似目标函数中任意两个或三个目标函数之间或之间的关系的逻辑表达式作为对象间函数逻辑表达式，并且将任意目标函数值可以采取的区域显示为可行的对应于任意目标函数的客观空间中的区域。此外，显示对应于在显示的可行区域中由用户指定的点或区域对应的任意设计参数的设计空间中的点或区域。

7. 发明申请

US20090326881A1 MULTI-OBJECTIVE OPTIMAL DESIGN IMPROVEMENT SUPPORT DEVICE, ITS METHOD AND STORAGE MEDIUM 审中-公开
标题翻译：多目标优化设计改进支持设备及其方法和存储介质
公开(公告)号：US20090326881A1
公开(公告)日：2009-12-31
申请号：US12424212
申请日：2009-04-15
申请人： Hirokazu Anai , Hitoshi Yanami
发明人： Hirokazu Anai , Hitoshi Yanami
IPC分类号： G06F17/10 , G06G7/48
CPC分类号： G06F17/50 , G06F2217/08
摘要： A multi-objective optical design improvement support device calculates a logical expression indicating a logical relationship among arbitrary two or three objective functions of a plurality of mathematically approximated objective functions and displays a possibility area in arbitrary objective space according to it. When a designer is not satisfied with an optimal Pareto solution, it copies a sample point group out of the initial constraints of a design parameter set in the objective space, displays its result and presents an improvement solution to the designer. When the designer finds more optimal solution than the optimal Pareto solution among the displayed improvement solutions and gives instruction, it calculates a sample point in design parameter space, corresponding to the optimal improvement solution, overlaps it with a constraint range and displays it as improvement knowledge and information.
摘要翻译：多目标光学设计改进支持装置计算表示多个数学近似的目标函数的任意两个或三个目标函数之间的逻辑关系的逻辑表达式，并根据它显示任意目标空间中的可能区域。当设计者对最佳Pareto解决方案不满意时，它会将样本点组复制到目标空间中设置参数集的初始约束之内，并显示其结果，并为设计人员提供改进的解决方案。当设计人员在显示的改进解决方案中找到比最佳Pareto解更多的最优解，并给出指令时，计算设计参数空间中的采样点，对应于最优改进方案，将其与约束范围重叠，并将其显示为改进知识和信息。

8. 发明申请

US20090326875A1 DEVICE AND METHOD FOR CLASSIFYING/DISPLAYING DIFFERENT DESIGN SHAPE HAVING SIMILAR CHARACTERISTICS 审中-公开
标题翻译：用于分类/显示具有类似特征的不同设计形状的设备和方法
公开(公告)号：US20090326875A1
公开(公告)日：2009-12-31
申请号：US12421418
申请日：2009-04-09
申请人： Hitoshi Yanami , Hirokazu Anai
发明人： Hitoshi Yanami , Hirokazu Anai
IPC分类号： G06F17/50 , G06N5/02 , G06F17/10
CPC分类号： G06F17/5009 , G06F2217/08
摘要： A system displays an area which a desired objection function value of a plurality of objective functions as a possible area in objective space corresponding to the objective function on the basis of each of the plurality of objective function value sets calculated for a plurality of design parameter sample sets; calculates a design parameter set in design space corresponding to the neighborhood area of a position in the objective space based on the position specification in relation to position specification by a user in the possible area of the objective space; and calculates and displays a representative design shape corresponding to the calculated design parameter set.
摘要翻译：基于针对多个设计参数样本计算出的多个目标函数值集合中的每一个，系统将对应于目标函数的多个目标函数的期望的异常函数值作为可能区域显示出来，套; 基于相对于用户在目标空间的可能区域中的位置指定的位置指定，计算与目标空间中的位置的邻域区域相对应的设计空间中的设计参数; 并计算并显示与所计算的设计参数集相对应的代表性设计形状。

9. 发明授权

US08412494B2 Optimal solution relation display apparatus and optimal solution relation display method 有权
标题翻译：最优解关系显示装置和最优解关系显示方法
公开(公告)号：US08412494B2
公开(公告)日：2013-04-02
申请号：US12491925
申请日：2009-06-25
申请人： Hitoshi Yanami , Hirokazu Anai
发明人： Hitoshi Yanami , Hirokazu Anai
IPC分类号： G06F17/10
CPC分类号： G06F17/50 , G06F2217/08
摘要： An apparatus receives input of sample sets, each including a set of values of design parameters and a set of values of objective functions; calculates objective function approximating equations; and selects, as initial candidates for an optimal design parameter set, some sets of values of design parameters corresponding to non-dominated solutions. The apparatus calculates one or more interpolating design parameter sets interpolating between two adjacent components in the candidates; and approximates values of the objective functions for each interpolating design parameter set. The apparatus selects an optimal interpolating design parameter set corresponding to a non-dominated solution in the cost evaluation for a pair of objective functions; and integrates it into the candidates. The apparatus repeats processes on the new candidates while determining the parameter distance between components of the new candidates. Finally obtained new candidates are output as final optimal design parameter sets and information relating to it is displayed.
摘要翻译：一种装置接收样本集的输入，每个样本集包括一组设计参数的值和一组目标函数的值; 计算目标函数近似方程; 并且选择作为最优设计参数集合的初始候选者，对应于非主导解的设计参数值的一些集合。该装置计算在候选中的两个相邻分量之间内插的一个或多个内插设计参数集; 并近似每个内插设计参数集的目标函数的值。该装置在一对目标函数的成本评估中选择对应于非主导解的最优内插设计参数集; 并将其整合到候选人中。该装置在确定新候选者的组件之间的参数距离的同时重复关于新候选者的处理。最终获得的新候选者作为最终优化设计参数组输出，并显示与其相关的信息。

10. 发明授权

US08843351B2 Display processing technique of design parameter space 有权
标题翻译：显示设计参数空间的处理技术
公开(公告)号：US08843351B2
公开(公告)日：2014-09-23
申请号：US13115593
申请日：2011-05-25
申请人： Hitoshi Yanami , Hirokazu Anai , Hidenao Iwane
发明人： Hitoshi Yanami , Hirokazu Anai , Hidenao Iwane
IPC分类号： G06F7/60 , G06F17/10 , G06F17/11
CPC分类号： G06F17/11 , G06F2217/08
摘要： This method includes: generating a constraint equation from data of an approximate expression of a cost function representing a relationship between a plurality of design parameters and a cost, data of a route in a cost space and data of a search range in a design parameter space; obtaining a logical expression of a solution for the constraint equation from a quantifier elimination processing unit that carries out a processing according to a quantifier elimination method; substituting coordinates of each of a plurality of points within the search range in the design parameter space into the logical expression of the solution to determine, for each of the plurality of points, true or false of the logical expression of the solution; and displaying the design parameter space in which a display object including a first point for which true is determined is disposed at the first point.
摘要翻译：该方法包括：从表示多个设计参数与成本之间的关系的成本函数的近似表达式的数据，成本空间中的路线的数据和设计参数空间中的搜索范围的数据的数据生成约束方程 ; 从执行根据量化器消除方法的处理的量化器消除处理单元获得约束方程式的解的逻辑表达式; 将所述设计参数空间内的所述搜索范围内的多个点中的每一个点的坐标替换为所述解的逻辑表达式，以针对所述多个点中的每一个确定所述解的逻辑表达式的真或否; 并且在第一点处显示其中包括确定了真实的第一点的显示对象的设计参数空间。

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