CN102496330A - Isomorphic model for hexagonal grid and modeling method and application thereof - Google Patents

Isomorphic model for hexagonal grid and modeling method and application thereof Download PDF

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CN102496330A
CN102496330A CN2011104151882A CN201110415188A CN102496330A CN 102496330 A CN102496330 A CN 102496330A CN 2011104151882 A CN2011104151882 A CN 2011104151882A CN 201110415188 A CN201110415188 A CN 201110415188A CN 102496330 A CN102496330 A CN 102496330A
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hexagonal
model
isomorphic
hexagonal grid
grid
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CN2011104151882A
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吴海东
桑作军
胡红娟
蔡亚
邵传飞
闵泉
雷洋
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中国人民解放军总参谋部第六十研究所
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Abstract

The invention discloses an isomorphic model for a hexagonal grid and a modeling method and application thereof, relates to drawing of the hexagonal grid, in particular to an isomorphic model for a planar hexagonal grid, and a structure and an application algorithm for storing and acquiring wargame map information on the hexagonal grid constructed based on the isomorphic model, and is applicable to related application of wargame maps in a wargaming system. The hexagonal isomorphic model is a hexagonal grid, an element of the model is a one-point three-line graph, and the three lines are intersected at the same point. The modeling method comprises the following steps of: 1) determining the used isomorphic model for the hexagonal grid; 2) determining a position of the isomorphic model; 3) determining information for performing hexagonal gridding; and 4) determining a one-to-one corresponding relationship between the isomorphic model for the hexagonal grid and a single hexagonal grid in the hexagonal grid so as to finish modeling. Due to application of the isomorphic model for the hexagonal grid in a wargame hexagonal gridding electronic map, map information in the hexagonal grid is abstracted, a corresponding relationship is established, and various map information is stored and acquired.

Description

六角网格同构模型及其建模方法和应用 Hexagonal lattice isomorphism model and modeling methods and applications

技术领域 FIELD

[0001] 本发明六角网格同构模型及其建模方法和应用涉及六角网格的绘制,特别涉及平面六角网格中的一种同构模型,以及基于该同构模型构建的六角网格上进行的兵棋地图信息存储、获取的结构和应用算法,适用于兵棋推演系统中兵棋地图的相关应用。 [0001] The present invention is isomorphic hexagonal grid model and modeling and rendering application relates to a hexagonal grid, and more particularly to a homogeneous hexagonal lattice plane in the model, and constructing the model with the hexagonal grid structure wargame map information stored on the conduct, structure and application of algorithms acquired for war game system related applications wargame map.

背景技术 Background technique

[0002] 在目前,一般六角网格的应用过程中,由于不需要进行与六角网格相关联的数据存储与信息识别,因而采用较为传统的绘制方式,导致绘制过程中的重复,在此基础上进行的数据存储必将产生冗余、信息获取效率降低,影响用户的使用时间和流畅度,不能经济运行,浪费了资源。 [0002] In the present, the application process is generally hexagonal grid, since the data does not need to store information associated with identifying a hexagonal grid, thus rendering using more traditional manner, resulting in the drawing process is repeated, on the basis of data storage will have on the conduct of redundancy, access to information efficiency is reduced, affecting the use of time and fluency user can not run the economy, a waste of resources.

发明内容 SUMMARY

[0003] 本发明的目的在于针对上述不足提供六角网格同构模型及其建模方法和应用,该六角网格同构模型是一种结构简单、高效率的,能够在六角网格下进行信息存储和信息获取的模型。 [0003] The object of the present invention to provide a homogeneous hexagonal lattice model and modeling method and application problems mentioned above, the hexagonal lattice isomorphism model is a simple structure, high efficiency, can be performed in a hexagonal lattice information storage and access to information model.

[0004] 本发明是采取以下技术方案实现的:六角网格同构模型为六角格, 其基元为一点三线图形,三条线段集中交汇于一点,水平方向线段为1号线 [0004] The present invention adopt the following technical solution: the hexagonal lattice structure with a hexagonal lattice model, which is a primitive one three line patterns, three segments converge at a focus point, the horizontal line segment line 1

y LU U y LU U

V1,水平方向线段上部相邻的线段为2号线V2,水平方向线段下部相邻的线段为3号线、, V1, adjacent to the upper horizontal line segment No. 2 line V2, a lower horizontal segment adjacent to the segment line 3 ,,

三条线段两两之间的角度相同,均为120度。 The angle between the same three line segments each two of both 120 degrees.

[0005] 六角网格同构模型的建模包括如下步骤: Modeling [0005] hexagonal lattice isomorphism model comprises the steps of:

1)确定使用的六角网格同构模型,六角网格同构模型具有两种基元,这两种基元都能够构建出六角网格。 1) determine isomorphic hexagonal grid model with a hexagonal grid structure has two cell model, both primitive hexagonal grid can be constructed.

[0006] 2)在步骤1中所选取的六角网格同构模型中,取三线交汇点为基本点,两个六角网格同构模型拼接而交会的点称为扩展点,六角网格同构模型三条边两两之间的角度均为120度,因此基本点的坐标信息即可确定同构模型的位置。 [0006] 2) with a hexagonal grid structure model selected in step 1, the intersection of three lines taken as the basic point, two isomorphic hexagonal lattice model intersection point is called splicing extension point, a hexagonal grid with constitutive model three sides are pairwise an angle between 120 degrees, the point coordinate information to determine the position of the basic configuration of the same model.

[0007] 3)确定进行六角网格化的电子地图区域、单个六角格的大小信息:根据步骤2中确定的每一个六角网格同构模型基本点的位置信息,在电子化地图区域内建立同构模型的二维平面区域与地图区域的对应关系,该关系可抽象为一个矩阵,将矩阵的坐标作为六角网格同构模型的唯一标示。 [0007] 3) for determining a hexagonal grid map of the region, size information of individual hexagonal lattice: the position information of each point in a substantially hexagonal lattice isomorphism model determined in step 2, based on the electronic map area model isomorphic relationship between two-dimensional area corresponding to the map area, the relationship may be abstracted as a matrix, the matrix coordinates indicated as the only model hexagonal lattice isomorphism.

[0008] 4)将六角网格同构模型与六角网格中的单独六角格一一对应,在步骤3所述矩阵关系的平面中,通过计算地图平面上任何一点与地图边界、同构模型基本点之间的平面线性关系,确定该点与六角格、六角格边之间的关系,从而完成建模。 [0008] 4) The isomorphic hexagonal lattice and hexagonal lattice model hexagonal lattice separate one correspondence relation in the plane of the step 3 matrix, and any point by computing the boundary map, the map plane model isomorphism plane substantially linear relationship between the point to determine the relationship between the point and the hexagonal lattice, hexagonal lattice edge to complete the model.

[0009] 在步骤4中所述的对应时间效率如下: [0009] In the step corresponding to the time efficiency in claim 4 as follows:

Figure CN102496330AD00041

f(n)的计算量不随η的增加而增加,因此0(f(n))=0(l); f (n) does not vary with the amount of calculation of η increases, so 0 (f (n)) = 0 (l);

其中T(n)表示识别所消耗的时间,f(n)是算法的函数表达式,η表示矩阵规模。 Where T (n) represents the time identifying consumed, f (n) is a function expression algorithm, η represents a matrix size.

[0010] 六角网格同构模型在兵棋六角格化电子地图的应用过程中,通常将六角格内地图信息抽象化,并与六角格、六角格边、六角格两侧建立对应关系。 [0010] In the model of hexagonal lattice structure with the application process war games hexagonal lattice in the electronic map, will generally hexagonal grid map information interior abstraction, and hexagonal grid, hexagonal grid side relationship on both sides of a hexagonal lattice correspondence. 基于步骤4中定位方法,可以快速存储、获取各种地图信息。 The positioning method based on step 4, you can quickly store, access to a variety of map information. 基于同构模型的兵棋地图信息相关存储结构,存储、获取算法以及扩展应用算法。 Constitutive model based wargame map with information related to the storage structure, storage, retrieval algorithms and extended application algorithms. 基于步骤4中描述的快速获取地图信息的相关算法,可以在兵棋推演过程中建立高效的通视算法。 , You can create an efficient algorithm to pass, as the war games during quick access to map information related to the algorithm described in Step 4 based. 通过分析两点之间经过的各个六角格、六角格边以及边两侧的各种抽象的地图信息,结合兵棋应用中对各种抽象地图信息在通视方面的策略,实现六角网格中两个独立六角格之间的通视判定。 By analyzing the elapsed time between the two points of each hexagonal grid, various abstract hexagonal grid map information edge and side edges, combined with the application of strategy wargame map information through a variety of abstract visual aspects of the realization of the two hexagonal grid Visibility is determined between the individual hexagonal cells.

[0011] 本发明通过分析六角网格的结构特点,得到六角网格中的同构形状,并在此基础上建立信息存储结构,六角网格的同构模型在六角网格中具有唯一性,通过同构模型的实例可以无缝拼接任意的六角网格,同时具有六角格、六角格边、六角格顶点的不重复性。 [0011] The present invention features a hexagonal grid structure analysis to obtain a homogeneous hexagonal lattice shape and configuration set-up information stored on this basis, with the constitutive model of a hexagonal grid having uniqueness in the hexagonal grid, seamless can by way of example any hexagonal lattice with the constitutive model, while having no repetitive hexagonal lattice, hexagonal lattice sides, hexagonal lattice vertices. 在此特点上进行的识别算法、数据存储、拓展应用具有良好的基础。 Recognition algorithms, data storage performed on this feature, expand the application has a good foundation. 通过几何学和微分学的分析,实现六角格、六角格边缘、六角格边缘两侧的快速识别算法,构建六角网格内基于上述内容的同构模型。 Differential analysis and geometrically achieve hexagonal lattice, hexagonal lattice edge, fast recognition algorithm hexagonal grid edge sides, hexagonal Ge Neiji isomorphic constructed model to the content. 与此同时,将该同构模型应用于兵棋推演系统的兵棋地图中,实现各种地图信息的快速存储、检索算法,以及兵棋地图中的通视算法。 At the same time, the homogeneous model is applied wargame map war game system, a variety of map information for fast storage, retrieval algorithms, and wargame map pass, as the algorithm. 该同构模型为建立基于六角网格的兵棋地图其它功能奠定了高效的应用基础。 The isomorphic model for the establishment of other functions based wargame hexagonal grid map laid the basis for efficient application.

附图说明 BRIEF DESCRIPTION

[0012] 以下将结合附图对本发明作进一步说明: [0012] conjunction with the accompanying drawings will further illustrate the present invention:

图1是本发明同构模型的平面结构及其在六角网格中的表现形式I示意图。 FIG 1 is a plan of the present invention is isomorphic model and its manifestations in the hexagonal grid I FIG.

[0013] 图2是本发明同构模型的平面结构及其在六角网格中的表现形式II示意图。 [0013] FIG. 2 is a plan of the present invention is isomorphic model and its manifestation in a hexagonal grid II in FIG.

[0014] 图3是基于六角网格同构模型应用在兵棋六角格化电子地图中的部分内容示意图。 [0014] FIG. 3 is a hexagonal lattice isomorphism Model Application Part schematic hexagonal lattice in war games based on electronic map.

具体实施方式 Detailed ways

[0015] 参照附图1〜3,本发明六角网格同构模型为六角格,其基元为一点三线图形,三 [0015] Referring to the drawings 1~3, hexagonal lattice structure with a hexagonal lattice model of the present invention, the base element is one three line pattern, tris

U U

条线段集中交汇于一点,水平方向线段为1号线η,水平方向线段上部相邻的线段为2号 Focused on the intersection point of line segments, the line segment in the horizontal direction of line [eta] 1, the upper horizontal line adjacent segment No. 2

KU U KU U

线、,水平方向线段下部相邻的线段为3号线b ,三条线段两两之间的角度相同,均为120度。 ,, lower wire adjacent horizontal line segments of the line B 3, the angle between the same three line segments each two of both 120 degrees.

[0016] 六角网格同构模型的建模包括如下步骤: Modeling [0016] hexagonal lattice isomorphism model comprises the steps of:

1)确定使用的六角网格同构模型,六角网格同构模型具有两种基元,这两种基元都能够构建出六角网格。 1) determine isomorphic hexagonal grid model with a hexagonal grid structure has two cell model, both primitive hexagonal grid can be constructed.

[0017] 2)在步骤1中所选取的六角网格同构模型中,取三线交汇点为基本点,两个六角网格同构模型拼接而交会的点称为扩展点,六角网格同构模型三条边两两之间的角度均为120度,因此基本点的坐标信息即可确定同构模型的位置。 [0017] 2) with a hexagonal grid structure model selected in step 1, the intersection of three lines taken as the basic point, two isomorphic hexagonal lattice model intersection point is called splicing extension point, a hexagonal grid with constitutive model three sides are pairwise an angle between 120 degrees, the point coordinate information to determine the position of the basic configuration of the same model.

[0018] 3)确定进行六角网格化的电子地图区域、单个六角格的大小信息:根据步骤2中确定的每ー个六角网格同构模型基本点的位置信息,在电子化地图区域内建立同构模型的ニ维平面区域与地图区域的对应关系,该关系可抽象为ー个矩阵,将矩阵的坐标作为六角网格同构模型的唯一标示。 [0018] 3) for determining a hexagonal grid map of the region, size information of individual hexagonal lattice: the position information of each ー a hexagonal grid point substantially isomorphic model determined in step 2, the electronic map in the area ni-dimensional plane corresponding relationship between the map area region is established with the constitutive model, this relationship can be abstracted ー matrices, the matrix coordinates indicated as the only model hexagonal lattice isomorphism.

[0019] 4)将六角网格同构模型与六角网格中的単独六角格一一对应,在步骤3所述矩阵关系的平面中,通过计算地图平面上任何一点与地图边界、同构模型基本点之间的平面线性关系,确定该点与六角格、六角格边之间的关系,从而完成建摸。 [0019] 4) The isomorphic hexagonal lattice and a hexagonal grid model in a hexagonal lattice radiolabeling single one correspondence relation in the plane of said matrix of step 3, by calculating the boundaries of the map at any point on the map plane, with the constitutive model plane substantially linear relationship between the point to determine the relationship between the point and the hexagonal lattice, hexagonal lattice sides, thereby completing the build touch.

[0020] 在步骤4中所述的对应时间效率如下: [0020] In the step corresponding to the time efficiency in claim 4 as follows:

Figure CN102496330AD00051

f(n)的计算量不随n的増加而增加,因此0(f(n))=0(l); 其中T(n)表示识别所消耗的时间,f(n)是算法的函数表达式,n表示矩阵规摸。 f (n) calculation amount does not vary with n, to increase in increases, so 0 (f (n)) = 0 (l); where T (n) represents the time identifying consumed, f (n) is a function expression Algorithm , n represents the matrix regulatory touch.

[0021] 六角网格同构模型在兵棋六角格化电子地图的应用过程中,通将六角格内地图信息抽象化,并与六角格、六角格边、六角格两侧建立对应关系,通过计算地图平面上任何一点与地图边界、同构模型基本点之间的平面线性关系,确定该点与六角格、六角格边之间的关系,并存储、获取各种地图信息。 [0021] In the model of hexagonal lattice structure with the application process war games hexagonal lattice electronic map, the mainland through the hexagonal grid map information abstraction, and hexagonal grid, hexagonal grid side, on both sides of a hexagonal lattice correspondence relationship, by computing any point map boundary plane substantially linear relationship between the points on the map plane isomorphic model to determine the relationship between the point and the hexagonal lattice, hexagonal lattice having a side, and stores, acquires various map information. 通过分析地图平面上两点之间经过的各个六角格、六角格边以及边两侧的各种抽象的地图信息,结合兵棋应用中对各种抽象地图信息在通视方面的策略,实现六角网格中两个独立六角格之间的通视判定。 After the analysis plane between two points on the map each hexagonal lattice, various abstract map information and hexagonal lattice having a side edge on both sides, in conjunction with strategy war games applications various abstract map information through visual aspect, to achieve hexagonal Visibility is determined between two separate hexagonal lattice cells.

Claims (5)

1.f(n)的计算量不随η的增加而增加,因此0(f(n))=0(l); 一种六角网格同构模型,其特征在于:六角同构模型为六角格,其基元为一点三线图形,三条线段集中交汇于一点,水平方向线段为1号线V1,水平方向线段上部相邻的线段为2号线Va ,水平方向线段下部相邻的线段为3号线V3 ,三条线段两两之间的角度相同,均为120度。 1.f (n) does not vary with the amount of calculation of η increases, so 0 (f (n)) = 0 (l); one kind isomorphic hexagonal lattice model, wherein: the hexagonal lattice with hexagonal structure model , which is a primitive one three line patterns, three segments converge at a focus point, the horizontal line 1 to line V1, the upper horizontal segment adjacent to the segment line 2 Va, a lower horizontal segment is adjacent segment 3 line V3, the angle between the same three line segments each two of both 120 degrees.
2.权利要求1所述的六角网格同构模型的建模方法,其特征在于,包括如下步骤:.1)确定使用的六角网格同构模型,六角网格同构模型具有两种基元,这两种基元都能够构建出六角网格;.2)在步骤1中所选取的六角网格同构模型中,取三线交汇点为基本点,两个六角网格同构模型拼接而交会的点称为扩展点,六角网格同构模型三条边两两之间的角度均为120 度,因此基本点的坐标信息即可确定同构模型的位置;.3)确定进行六角网格化的电子地图区域、单个六角格的大小信息:根据步骤2中确定的每一个六角网格同构模型基本点的位置信息,在电子化地图区域内建立同构模型的二维平面区域与地图区域的对应关系,该关系可抽象为一个矩阵,将矩阵的坐标作为六角网格同构模型的唯一标示;.4)将六角网格同构模型与六角网格中的单独六角格一一对应,在步 Modeling isomorphic hexagonal grid model according to claim 1, characterized by comprising the steps of: .1) determine isomorphic hexagonal lattice model, the model having a hexagonal lattice structure with two basic yuan, both primitive hexagonal grid can be constructed; .2) isomorphic hexagonal grid model selected in step 1, the intersection of three lines taken as the basic point, two isomorphic hexagonal lattice model combination the intersection point is called the extension point, the angle between each two isomorphic three sides of a hexagonal grid model is 120 degrees, the point coordinate information to determine the position of the basic configuration of the same model; .3) for determining hexagonal area of ​​the electronic map grid, hexagonal grid size information of the individual: positional information in accordance with each of a hexagonal lattice point substantially homogeneous model determined in step 2, the establishment of a two-dimensional planar area with the constitutive model in an electronic map of the area map of an area corresponding relationship, this relationship may be abstracted as a matrix, the matrix coordinates indicated as the only model hexagonal lattice isomorphism; .4) with a hexagonal lattice structure with a hexagonal grid model in eleven separate hexagonal grid It corresponds, at step 3所述矩阵关系的平面中,通过计算地图平面上任何一点与地图边界、同构模型基本点之间的平面线性关系,确定该点与六角格、六角格边之间的关系,从而完成建模。 3 the plane of the matrix relationship in a plane at any point by calculating a linear relationship between the model and the basic points isomorphic boundary map, the map plane, determining the relationship between the point and the hexagonal lattice, hexagonal lattice sides, thereby completing the construction mold.
3.根据权利要求2所述的六角网格同构模型的建模方法,其特征在于,在步骤4中所述的对应时间效率如下: The modeling method of claim 2 isomorphic hexagonal grid model claim, wherein, in the step corresponding to the time efficiency in claim 4 as follows:
Figure CN102496330AC00021
其中T(n)表示识别所消耗的时间,f(n)是算法的函数表达式,η表示矩阵规模。 Where T (n) represents the time identifying consumed, f (n) is a function expression algorithm, η represents a matrix size.
4.权利要求1所述的六角网格同构模型在兵棋六角格化电子地图的应用,其特征在于,将六角格内地图信息抽象化,并与六角格、六角格边、六角格两侧建立对应关系,通过计算地图平面上任何一点与地图边界、同构模型基本点之间的平面线性关系,确定该点与六角格、六角格边之间的关系,并存储、获取各种地图信息。 4. A hexagonal grid model is isomorphic to claim 1 in the hexagonal lattice war games electronic map application, characterized in that the interior hexagonal grid map information abstraction, and both sides of the hexagonal lattice, hexagonal lattice sides, hexagonal grid establishing a corresponding relationship, any point by calculating a plane substantially linear relationship between the model and the point isomorphic boundary map, the map plane, determining the relationship between the point and the hexagonal lattice, hexagonal lattice having a side, and stores, various map information acquired .
5.根据权利要求4所述的六角网格同构模型在兵棋六角格化电子地图的应用,其特征在于,通过分析地图平面上两点之间经过的各个六角格、六角格边以及边两侧的各种抽象的地图信息,结合兵棋应用中对各种抽象地图信息在通视方面的策略,实现六角网格中两个独立六角格之间的通视判定。 The hexagonal lattice isomorphism model according to claim 4 in a hexagonal lattice war games electronic map application, wherein, by analyzing through the points on the map plane between each hexagonal lattice, hexagonal lattice having a side edge and two various abstract map information side, combined with the application of strategy wargame map information through a variety of abstract visual terms, depending on the realization between the two hexagonal grid hexagonal grid independent judgment.
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