CN117173362B - Method and system for building coordinate system of live-action three-dimensional model and segmenting tiles - Google Patents
Method and system for building coordinate system of live-action three-dimensional model and segmenting tiles Download PDFInfo
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Abstract
The invention discloses a method and a system for building a real-scene three-dimensional model coordinate system and segmenting tiles, wherein the method comprises the following steps: establishing a projection coordinate system according to the real scene three-dimensional model data, determining a region boundary, calculating the minimum value of the horizontal and vertical coordinates of the boundary line, establishing a reference grid coordinate system in a first projection belt by taking the minimum value of the horizontal and vertical coordinates as a coordinate origin, if the reference grid coordinate system does not cover all target regions, sequentially establishing a tile grid coordinate system in each projection belt, carrying out grid edge connection treatment on the dividing meridian of each tile grid coordinate system, carrying out tile grid segmentation after the treatment, numbering each segmented tile grid, establishing a tile grid row and column index, establishing a tile independent coordinate system, and finally outputting a tile segmentation result. The invention provides the conversion relation among the coordinate systems involved in the application of the real-scene three-dimensional model, and is convenient for realizing the mutual conversion of the coordinates of the large-scale real-scene three-dimensional model data among the coordinate systems.
Description
Technical Field
The invention relates to the fields of geographic information data processing, big data management and application, in particular to a method and a system for building a real-scene three-dimensional model coordinate system and segmenting tiles.
Background
Large-scale live-action three-dimensional model data are usually cut into three-dimensional tiles for management and application due to large data volumes. However, the current live-action three-dimensional model tile blocking method has the following disadvantages:
(1) The three-dimensional model of the live-action involves multiple coordinate systems in the modeling and application processes, however, the traditional coordinate system construction method does not have unified criteria, and it is difficult to realize the mutual conversion of the coordinates of the three-dimensional model data of the live-action on a large scale between each coordinate system.
(2) The traditional method for partitioning the real-scene three-dimensional model tile grid is divided according to small areas, when large-scale model data span a plurality of projection belts, the tiles are renamed after being partitioned by the traditional method, and large-scale unified sequence numbering cannot be realized.
(3) The conventional tile grid dividing method often has the problems that the tile row and column number values obtained after the dividing are larger and the signs are not uniform, and is inconvenient for data management and indexing.
(4) Under the traditional tile grid partitioning mode, the precision of model data is seriously lost due to overlarge vertex coordinate values of the real-scene three-dimensional model, and a model image is severely dithered when a screen view angle is moved.
Disclosure of Invention
In order to solve the problems, the invention provides a method for constructing a real-scene three-dimensional model coordinate system and segmenting tiles, which specifically comprises the following steps:
and acquiring real-scene three-dimensional model data of a target area, establishing a projection coordinate system according to the real-scene three-dimensional model data, determining an area boundary of the target area under the projection coordinate system, and calculating an abscissa minimum Min (Y) and an ordinate minimum Min (X) of the boundary line under the projection coordinate system.
And (3) obtaining k projection bands covered by the regional boundary line under the projection coordinate system, wherein k is more than or equal to 1, marking boundary meridians of the k projection bands, taking (Min (X), min (Y)) as a coordinate origin, and establishing a reference grid coordinate system in the first projection band, wherein the abscissa and the ordinate of the reference grid coordinate system are respectively parallel to the abscissa and the ordinate of the projection coordinate system and have the same direction.
Judging whether the reference grid coordinate system covers all target areas or not, if so, performing tile grid segmentation on the reference grid coordinate system; if the reference grid coordinate system does not cover all the target areas, building a tile grid coordinate system in each projection belt in turn until all the target areas are covered, performing grid edge connection processing on each tile grid coordinate system at a demarcation meridian, and finally performing tile grid segmentation on each tile grid coordinate system.
And numbering each tile grid after the tile grid is segmented according to the row-column index by taking the origin of coordinates of the reference grid coordinate system as a starting point, and establishing the tile grid row-column index.
And establishing a tile independent coordinate system row by row and column by taking the lower left corner of each tile grid as the origin of coordinates according to the row-column index of the tile grid, and outputting a coordinate system construction and tile partitioning result.
Preferably, the reference grid coordinate system is to divide grids from the origin of coordinates, and extend to north and east respectively until all areas in the first projection band are covered, and each grid is square.
Preferably, the tile grid coordinate system divides grids from a coordinate origin, and extends to north and east respectively until all areas in the projection belt are covered, and each grid is square.
Preferably, the grid coordinate system of each tile is subjected to grid edge connection treatment at the demarcation meridian, specifically, the (i+1) th projection zoneUnder tile grid coordinate systemM i+1 O i2(+1) NWesterning translation deltaN i The rice is used for the production of rice,
wherein, i is E N,Y iR is a projection beltiLeft lower corner point of middle and western-most tile and projection coordinate systemXO 1 YThe lower horizontal axis of the drawing is,Y i L(+1) is a projection beltiTile grid coordinate system at +1M i+1 O i2(+1) NIs the origin of coordinates of (a)O i2(+1) In a projection coordinate systemXO 1 YThe lower abscissa;
preferably, each tile is independent of the origin of the coordinate system based on the tile grid line indexO ij Coordinates under projection coordinate systemx ij , y ij ) The method comprises the following steps:
wherein m and n respectively represent the row number and the column number of the tile grid,Lrepresenting tile side length.
Furthermore, the projection coordinate system is established according to the live-action three-dimensional model data by adopting Gaussian projection, horizontal-axis ink-card-holder projection or other projection modes.
The invention also provides a system for building the real-scene three-dimensional model coordinate system and dividing tiles, which comprises a target area boundary acquisition module, a reference grid coordinate system building module, a tiles grid coordinate system building and dividing tiles grid module, a tiles grid row and column index building module and a tiles independent coordinate system building module:
the target region boundary acquisition module is used for acquiring real-scene three-dimensional model data of a target region, establishing a projection coordinate system according to the real-scene three-dimensional model data, determining a boundary line of the target region under the projection coordinate system, and calculating an abscissa minimum Min (Y) and an ordinate minimum Min (X) of the boundary line under the projection coordinate system.
The reference grid coordinate system establishing module is used for acquiring k projection bands covered by the boundary line of the target area under the projection coordinate system, k is more than or equal to 1, marking boundary meridians of the k projection bands, taking (Min (X), min (Y)) as a coordinate origin, and establishing a reference grid coordinate system in the first projection band, wherein the abscissa of the reference grid coordinate system is parallel to the abscissa of the projection coordinate system and has the same direction.
The building tile grid coordinate system and the tile grid segmentation module are used for judging whether the reference grid coordinate system covers all target areas or not, and if the reference grid coordinate system covers all target areas, tile grid segmentation is directly carried out on the reference grid coordinate system; if the reference grid coordinate system does not cover all the target areas, building a tile grid coordinate system in each projection belt in turn until all the target areas are covered, performing grid edge connection processing on each tile grid coordinate system at a demarcation meridian, and finally performing tile grid segmentation on each tile grid coordinate system.
The module for establishing the row and column indexes of the tile grids is used for numbering each tile according to the row and column indexes by taking the origin of coordinates of a reference grid coordinate system as a starting point, and establishing the row and column indexes of the tile grids.
The tile independent coordinate system establishing module is used for establishing a tile independent coordinate system row by row and column for all tiles according to the tile grid line and column index by taking the lower left corner of each tile as the origin of coordinates, and outputting a coordinate system construction and tile partitioning result.
The invention provides the conversion relation among the coordinate systems involved in the production and application processes of the live-action three-dimensional model, so that the coordinates of the large-scale live-action three-dimensional model data can be converted among the coordinate systems conveniently; the problem of tile renaming caused by the traditional method after the block division is solved, and the unified sequential numbering of large-scale mass model tiles is realized; the tile row and column numbers after the partitioning and the coordinates of the model data in each tile are positive numbers, so that the data management, the indexing and the calculation are convenient; the problem of model data precision loss in the traditional method is solved by establishing the independent coordinate system of the tile, and the phenomenon of intense shaking of the model image is avoided when the view angle of the screen is moved.
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In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings that are required in the embodiments or the description of the prior art will be briefly described, and it is obvious that the drawings in the following description are only some embodiments of the present invention, and other drawings may be obtained according to the structures shown in these drawings without inventive effort for a person skilled in the art.
Fig. 1 is a schematic flow chart of a method for constructing a real-scene three-dimensional model coordinate system and dividing tiles.
Fig. 2 is a schematic diagram of the construction of a projected coordinate system and a tile grid coordinate system prior to translation.
FIG. 3 is a schematic diagram of a tile grid coordinate system prior to translation of adjacent projection bands.
FIG. 4 is a schematic diagram of a tile grid coordinate system after the displacement of adjacent projection strips.
FIG. 5 is a schematic diagram of the construction of the coordinate system of each tile grid after translation.
FIG. 6 is a schematic diagram of the construction of a tile independent coordinate system.
Fig. 7 is a diagram of a real-scene three-dimensional model coordinate system construction and tile segmentation system.
Detailed Description
In order to make the objects, technical solutions and advantages of the present application more apparent, the present application will be further described in detail with reference to the accompanying drawings and examples. It should be understood that the specific embodiments described herein are for purposes of illustration only and are not intended to limit the present application.
A flow diagram of a method for constructing a coordinate system of a live three-dimensional model and dividing tiles is shown in figure 1,
firstly, acquiring live-action three-dimensional model data of a target area, establishing a projection coordinate system according to the live-action three-dimensional model data, determining an area boundary of the target area under the projection coordinate system, and calculating an abscissa minimum value Min (Y) and an ordinate minimum value Min (X) of the boundary line under the projection coordinate system.
Obtaining a projection coordinate system according to Gaussian projection or a transverse-axis ink-card-holder projection method for obtaining real-scene three-dimensional model data of a target areaXO 1 YA schematic diagram thereof is shown in fig. 2. In FIG. 2, the irregular polygonal area is a boundary line on which points are projected in a coordinate systemXO 1 YThe lower abscissa Min (Y) and the ordinate Min (X) are in meters.
A second step of obtaining the coverage of the regional boundary line under the projection coordinate systemkA plurality of throwing belts are arranged on the surface of the belt,k≥1marking ofkAnd establishing a reference grid coordinate system in the first projection belt by taking (Min (X), min (Y)) as a coordinate origin of a demarcation meridian of each projection belt, wherein the abscissa and the ordinate of the reference grid coordinate system are respectively parallel to the abscissa and the ordinate of the projection coordinate system and have the same direction.
As shown in FIG. 2, due to the large exemplary geographic area, spanskThe demarcation meridians of the individual projection belts are marked by dashed lines. To achieve%Min(X), Min(Y) For the origin of coordinates, a reference grid coordinate system is establishedM 1 O 21 NWhereinO 21 M 1 And (3) withO 1 XParallel, north is positive,O 21 Nand (3) withO 1 YParallel, eastern is positive, unit is meter, and scale factor between projection coordinate system is 1.
Thirdly, judging whether the reference grid coordinate system covers all target areas, if so, performing tile grid segmentation on the reference grid coordinate system; if the reference grid coordinate system does not cover all the target areas, building a tile grid coordinate system in each projection belt in turn until all the target areas are covered, performing grid edge connection processing on each tile grid coordinate system at a demarcation meridian, and finally performing tile grid segmentation on each tile grid coordinate system.
If the reference grid coordinate systemM 1 O 21 NCovering the whole area (i.ek=1), tile grid segmentation is performed on the reference grid coordinate system. If the reference grid coordinate systemM 1 O 21 NCovering the whole area (i.ek> 1), a tile grid coordinate system is first established per projection band. As shown in fig. 2, the tile grid coordinate systemM i O i2() NProjection band of (2)iEastern demarcation meridianO 21 NEstablishing a tile grid coordinate system by taking intersection points of axes as origin pointsM i+1 O i2(+1) NWherein, the method comprises the steps of, wherein,O i2(+1) M i+1 and (3) withO 21 M 1 Parallel, north is positive,O i2(+1) Nand (3) withO 21 NSuperposition, positive eastern, unit is meter, scale factor between projection coordinate system is 1, then starting from origin and taking side length asLIs extended to north and east respectively until the projection band is coverediAll regions within +1. And secondly, carrying out grid edge connection processing at the dividing meridian of the tile grid coordinate system, wherein the tile grid coordinate system with non-uniform origins established in the prior art can solve the problem of grid discontinuity at the boundary of two adjacent projection bands, as shown in fig. 3. In projection bandiProjection beltiTile grid coordinate system at +1M i O i2() NAndM i+1 O i2(+1) Nfor example, a projection belt is providediLeft lower corner point of middle and western-most tile and projection coordinate systemXO 1 YThe lower abscissa isY iR Projection beltiTile grid coordinate system at +1M i+1 O i2(+1) NIs the origin of coordinates of (a)O i2(+1) In a projection coordinate systemXO 1 YThe lower abscissa isY i L(+1) Then the tile grid coordinate systemM i+1 O i2(+1) NAnd (3) withM i O i2() NDifference of horizontal coordinates delta betweenN i The method comprises the following steps:by combining the coordinate systemsM i+1 O i2(+1) NWesterning translation deltaN i The problem of discontinuous tile grids at the demarcation meridian can be solved by using the method, as shown in fig. 4. Recording the tile grid coordinate systemM i+1 O i2(+1) NIs the origin of coordinates of (a)O i2(+1) In a projection coordinate systemXO 1 YLower coordinatesO i2(+1) (Min(X), Y i2(+1) ). And finally judging whether the tile grid coordinate system of the area completely completes the edge connection processing of the tile grid at the boundary meridian, and if the tile grid of the area completely completes the edge connection processing of the tile grid at the boundary meridian, as shown in fig. 5, performing tile grid segmentation on each tile grid coordinate system.
Dividing the tile grid by a tile grid coordinate system in each projection beltM 1 O 21 N, M 2 O 22 N, M 3 O 23 N,…, M k O k2 NDividing the area into tiles, and recording the maximum row number and the maximum column number of the division as shown in figure 5p，q。
And step four, numbering each tile grid after the tile grid is segmented according to the row-column index by taking the origin of coordinates of the reference grid coordinate system as a starting point, and establishing the tile grid row-column index.
The origin of the coordinate system of each constructed tile gridO 21 , O 22 , O 23 ,…, O k2 In a projection coordinate systemXO 1 YThe lower coordinates can be represented by a matrixO g The following is given:
wherein,O 21 , O 22 , O 23 ,…, O k2 the coordinate values of (2) have been given in the third step. Based on a reference grid coordinate systemM 1 O 21 NIs the origin of coordinates of (a)O 21 Starting with each tile numbered according to a rank index, row number 1,2,3, … from west to east,prow, column numbers from north to south are 1,2,3, …,qcolumns. Thus, the complete grid coordinate system of all tiles in the areaM 1 O 21 N, M 2 O 22 N, M 3 O 23 N,…, M k O k2 NIs established.
Thus, the complete grid coordinate system of all tiles in the areaM 1 O 21 N, M 2 O 22 N, M 3 O 23 N,…, M k O k2 NHas the following advantages:
(1) The method solves the problem of tile renaming caused by the segmentation of the traditional tile segmentation method, realizes the unified sequence numbering of the large-scale live-action three-dimensional data tiles, and can index any tile in the region through row and column numbers.
(2) The built multiple tile grid coordinate systems are only used for real-scene three-dimensional model data in the projection belt, and coordinate conversion among the projection belts is avoided.
(3) The coordinates of any point in the coordinate system of each tile grid, the row and column numbers of the tiles and the like are positive numbers, so that the calculation and the management are convenient.
And fifthly, taking the lower left corner of each tile grid as an origin of coordinates, establishing a tile independent coordinate system row by row and column by column for all tiles according to the row-column index of the tile grid, and outputting a coordinate system construction and tile partitioning result.
As shown in FIG. 6, the first is set in the tile gridjRow of lines、iThe independent coordinate system of the tile of the row isU j O ij V i Wherein the origin of coordinates isO ij ，O ij VAnd (3) withO 21 M 1 、O 1 XParallel, north is positive,O ij Vand (3) withO 21 N、O 1 YParallel, eastern positive, in meters, and scale factor 1 with the tile grid coordinate system. At this time, according to the tile grid line index constructed in the ninth step, each tile is independent of the origin of the coordinate systemO ij The following matrix form can be written according to row and column numbers:
in the above, the initial matrixO d The value is assigned to zero matrix. Independent coordinate system origin of each tileO ij Coordinates under projection coordinate systemx ij , y ij ) Can be directly deduced from the rank index:
through the above and matrixO d And establishing a relation among a projection coordinate system, a tile grid row number and a tile independent coordinate system related to the live-action three-dimensional model.
So far, after the independent coordinate system of the tiles is established for all the tiles, the translation constants of the projection coordinate system and the grid coordinate system of the tiles are deducted, so that the coordinate value of any point in each tile under the independent coordinate system of the tiles is #u,v) The method has the advantages that the method is small, the problem of data precision loss caused by overlarge vertex coordinate values of the live-action three-dimensional model is solved, and the problem of severe shaking of the model image when the view angle is moved after the model with overlarge coordinate values is loaded in modeling software is further solved.
Finally, outputting the coordinate system construction and tile block division results and outputting a matrixO g AndO d each projection zone establishes a tile grid coordinate system and each tile is independentAnd (5) standing a coordinate system.
The system comprises a target area boundary acquisition module, a reference grid coordinate system building module, a tile grid coordinate system building and tile grid segmentation module, a tile grid row and column index building module and a tile independent coordinate system building module:
the target region boundary acquisition module is used for acquiring real-scene three-dimensional model data of a target region, establishing a projection coordinate system according to the real-scene three-dimensional model data, determining a boundary line of the target region under the projection coordinate system, and calculating an abscissa minimum Min (Y) and an ordinate minimum Min (X) of the boundary line under the projection coordinate system.
The reference grid coordinate system establishing module is used for acquiring k projection bands covered by the boundary line of the target area under the projection coordinate system, k is more than or equal to 1, marking boundary meridians of the k projection bands, taking (Min (X), min (Y)) as a coordinate origin, and establishing a reference grid coordinate system in the first projection band, wherein the abscissa of the reference grid coordinate system is parallel to the abscissa of the projection coordinate system and has the same direction.
The building tile grid coordinate system and the tile grid segmentation module are used for judging whether the reference grid coordinate system covers all target areas or not, and if the reference grid coordinate system covers all target areas, tile grid segmentation is directly carried out on the reference grid coordinate system; if the reference grid coordinate system does not cover all the target areas, building a tile grid coordinate system in each projection belt in turn until all the target areas are covered, performing grid edge connection processing on each tile grid coordinate system at a demarcation meridian, and finally performing tile grid segmentation on each tile grid coordinate system.
The module for establishing the row and column indexes of the tile grids is used for numbering each tile according to the row and column indexes by taking the origin of coordinates of a reference grid coordinate system as a starting point, and establishing the row and column indexes of the tile grids.
The tile independent coordinate system establishing module is used for establishing a tile independent coordinate system row by row and column for all tiles according to the tile grid line and column index by taking the lower left corner of each tile as the origin of coordinates, and outputting a coordinate system construction and tile partitioning result.
Embodiments in accordance with the present invention, as described above, are not intended to be exhaustive or to limit the invention to the precise embodiments disclosed. Many modifications and variations are possible in light of the above teaching. The embodiments were chosen and described in order to best explain the principles of the invention and the practical application, to thereby enable others skilled in the art to best utilize the invention and various modifications as are suited to the particular use contemplated. The invention is limited only by the claims and the full scope and equivalents thereof.
Claims (6)
1. The utility model relates to a method for building a real-scene three-dimensional model coordinate system and segmenting tiles, which is characterized by comprising the following steps:
acquiring live-action three-dimensional model data of a target area, establishing a projection coordinate system according to the live-action three-dimensional model data, determining an area boundary of the target area under the projection coordinate system, and calculating an abscissa minimum Min (Y) and an ordinate minimum Min (X) of the boundary line under the projection coordinate system;
obtaining k projection bands covered by regional boundary lines under the projection coordinate system, wherein k is more than or equal to 1, marking boundary meridian lines of the k projection bands, taking (Min (X), min (Y)) as a coordinate origin, and establishing a reference grid coordinate system in the first projection band, wherein the abscissa and the ordinate of the reference grid coordinate system are respectively parallel to the abscissa and the ordinate of the projection coordinate system and have the same direction;
judging whether the reference grid coordinate system covers all target areas or not, if so, performing tile grid segmentation on the reference grid coordinate system; if the reference grid coordinate system does not cover all target areas, building a tile grid coordinate system in each projection belt in turn until all target areas are covered, performing grid edge connection treatment on each tile grid coordinate system at a demarcation meridian, and finally performing tile grid segmentation on each tile grid coordinate system;
taking the origin of coordinates of a reference grid coordinate system as a starting point, numbering each tile grid after the tile grid is segmented according to the row-column index, and establishing the row-column index of the tile grid;
establishing a tile independent coordinate system row by row and column by taking the lower left corner of each tile grid as the origin of coordinates, and outputting a coordinate system construction and tile partitioning result according to the row-column index of each tile grid;
the grid edge connection processing is carried out on each tile grid coordinate system at the demarcation meridian, in particular to the tile grid coordinate system under the (i+1) th projection zoneM i+1 O i2(+1) NWesterning translation deltaN i The rice is used for the production of rice,
，
wherein, i is E N,Y iR is a projection beltiLeft lower corner point of middle and western-most tile and projection coordinate systemXO 1 YThe lower horizontal axis of the drawing is,Y i L(+1) is a projection beltiTile grid coordinate system at +1M i+1 O i2(+1) NIs the origin of coordinates of (a)O i2(+1) In a projection coordinate systemXO 1 YAnd the lower abscissa.
2. The method for building and tile segmentation of a three-dimensional model coordinate system of claim 1, wherein the reference grid coordinate system is to divide grids from a coordinate origin of the reference grid coordinate system, and extend to north and east respectively until all regions in the first projection zone are covered, wherein each grid is square.
3. The method for constructing and dividing tiles in a real-scene three-dimensional model coordinate system according to claim 1, wherein the tile grid coordinate system is divided into grids from the origin of coordinates of the tile grid coordinate system, and the grids are respectively extended to north and east until all areas in a projection belt are covered, and each grid is square.
4. The method for building a real-scene three-dimensional model coordinate system and segmenting tiles according to claim 1, wherein based on the tile grid line and row index, each tile is independent of an origin of the coordinate systemO ij Coordinates under projection coordinate systemx ij , y ij ) The method comprises the following steps:
，
wherein m and n respectively represent the row number and the column number of the tile grid,Lrepresenting tile side length.
5. The method for building a three-dimensional model coordinate system and tile segmentation according to any one of claims 1 to 4, wherein the building a projection coordinate system according to the three-dimensional model data is building a projection coordinate system by using gaussian projection or horizontal-axis ink-card-bracket projection.
6. The system is characterized by comprising a target region boundary acquisition module, a reference grid coordinate system building module, a tile grid coordinate system building and tile grid segmentation module, a tile grid row and column index building module and a tile independent coordinate system building module:
the target region boundary acquisition module is used for acquiring real-scene three-dimensional model data of a target region, establishing a projection coordinate system according to the real-scene three-dimensional model data, determining a region boundary of the target region under the projection coordinate system, and calculating a minimum value Min (Y) of an abscissa and a minimum value Min (X) of an ordinate of a boundary line under the projection coordinate system;
the reference grid coordinate system establishing module is used for acquiring k projection bands covered by the boundary line of the target area under the projection coordinate system, wherein k is more than or equal to 1, marking boundary meridians of the k projection bands, taking (Min (X), min (Y)) as a coordinate origin, and establishing a reference grid coordinate system in the first projection band, wherein the abscissa and the ordinate of the reference grid coordinate system are respectively parallel to the abscissa and the ordinate of the projection coordinate system and have the same direction;
the building tile grid coordinate system and the tile grid segmentation module are used for judging whether the reference grid coordinate system covers all target areas or not, and if the reference grid coordinate system covers all target areas, tile grid segmentation is directly carried out on the reference grid coordinate system; if the reference grid coordinate system does not cover all target areas, building a tile grid coordinate system in each projection belt in turn until all target areas are covered, performing grid edge connection treatment on each tile grid coordinate system at a demarcation meridian, and finally performing tile grid segmentation on each tile grid coordinate system;
the block grid line and line index establishing module takes the origin of coordinates of a reference grid coordinate system as a starting point, numbers each block grid after the block grid is segmented according to the line and line index, and establishes the block grid line and line index;
the tile independent coordinate system establishing module establishes a tile independent coordinate system row by row and column for all tiles according to the tile grid line-column index by taking the lower left corner of each tile grid as the origin of coordinates, and outputs coordinate system construction and tile partitioning results;
the grid edge connection processing is carried out on each tile grid coordinate system at the demarcation meridian, in particular to the tile grid coordinate system under the (i+1) th projection zoneM i+1 O i2(+1) NWesterning translation deltaN i The rice is used for the production of rice,
，
wherein, i is E N,Y iR is a projection beltiLeft lower corner point of middle and western-most tile and projection coordinate systemXO 1 YThe lower horizontal axis of the drawing is,Y i L(+1) is a projection beltiTile grid coordinate system at +1M i+1 O i2(+1) NIs the origin of coordinates of (a)O i2(+1) In a projection coordinate systemXO 1 YAnd the lower abscissa.
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