An Adaptive Spatial Grid Mapping Method and System for Open-Pit Geological Exploration

Abstract

This application relates to the field of open-pit mining technology, and provides an adaptive open-pit geological spatial grid mapping method and system. In this method, based on the Hough space curve of the geographic coordinates of open-pit geological exploration boreholes, a first kernel density estimation curve for the boreholes is determined. After constructing a linear space for the boreholes based on the first kernel density estimation curve, the geographic coordinates of the boreholes are converted into linear spatial coordinates, and a second kernel density estimation curve for the boreholes is determined based on the linear spatial coordinates. A peak matrix is ​​constructed based on the coordinate axis values ​​corresponding to the peak values ​​of the second kernel density estimation curve, and the adaptive grid position of the boreholes is determined based on the linear spatial coordinates and the peak matrix. This achieves an adaptive open-pit exploration borehole grid and determines the position of each open-pit geological exploration borehole within the grid, providing a new means for three-dimensional geological modeling of open-pit mines and meeting the practical needs of combining open-pit geological exploration with three-dimensional geological modeling.

Description

Technical Field

[0001] This application relates to the field of open-pit mining technology, and in particular to an adaptive open-pit geological exploration spatial grid mapping method and system. Background Technology

[0002] Currently, the mainstream method for generating 3D geological models from geological exploration boreholes in open-pit mine 3D geological modeling is based on triangular meshes. However, the drawing of geological exploration lines from open-pit geological exploration boreholes is often based on roughly parallel quadrilateral meshes. Although the algorithm for determining the triangular mesh is usually stable, the generated triangular mesh still exhibits randomness compared to the geological exploration line mesh. This characteristic leads to 3D geological modeling based on triangular meshes failing to effectively utilize existing geological data from exploration lines, and the generated 3D geological model cannot be directly compared and verified with the geological exploration line data. On the other hand, 3D geological modeling often involves spatial interpolation problems. Since the handling of jumps and discontinuities in geological exploration boreholes must be considered separately during the interpolation process in 3D geological modeling, the interpolation algorithm based on triangular meshes cannot recognize this situation. Summary of the Invention

[0003] The purpose of this application is to provide an adaptive spatial grid mapping method and system for open-pit mine geological exploration, so as to solve or alleviate the problems existing in the prior art.

[0004] To achieve the above objectives, this application provides the following technical solution: This application provides an adaptive spatial grid mapping method for open-pit geological exploration, comprising: determining a first kernel density estimation curve for the geological exploration borehole based on the Hough space curve of the geographic coordinates of the open-pit geological exploration borehole, and constructing a linear space for the geological exploration borehole based on the first kernel density estimation curve; converting the geographic coordinates of the geological exploration borehole into linear spatial coordinates, and determining a second kernel density estimation curve for the geological exploration borehole based on the linear spatial coordinates; constructing a peak matrix based on the coordinate axis values ​​corresponding to the peak values ​​of the second kernel density estimation curve, and determining the adaptive grid position of the geological exploration borehole based on the linear spatial coordinates of the geological exploration borehole and the peak matrix.

[0005] Preferably, in a predefined coordinate system, the geographic coordinates of the geological exploration borehole are subjected to Hough transformation to obtain the Hough space curve of the geographic coordinates of the geological exploration borehole. The intersection points of the Hough space curves of the geographic coordinates of the geological exploration boreholes are calculated, and the first kernel density estimation curve of the geological exploration boreholes is determined by the kernel density estimation algorithm. Calculate the x-axis values ​​corresponding to the two maximum peaks on the first kernel density estimation curve. unit vector and based on unit vectors Construct the linear space of geological exploration boreholes.

[0006] Preferred, calculated open-pit mine The center point of the original coordinates of each geological exploration borehole and with the center point To determine the origin of the predefined coordinate system, the original coordinates of the geological exploration borehole are translated. The geographic coordinates of each geological exploration borehole in a predefined coordinate system; among which... It is a positive integer.

[0007] Preferably, according to the formula: The first step in calculating the geographic coordinates of geological exploration boreholes Intersection of Hough space curves ; In the formula, For the first Geographic coordinates of each geological exploration borehole For the first Geographic coordinates of each geological exploration borehole Geographic coordinates with geographic coordinates Intersection of Hough space curves; in, , express The number of intersections of the Hough space curves of the geographic coordinates of each geological exploration borehole. , The index of the intersection point of the Hough space curve; , , This refers to the number of geological exploration boreholes in open-pit mines.

[0008] Preferably, the geographic coordinates of the geological exploration borehole are transformed using linear coordinates to obtain the linear spatial coordinates of the geological exploration borehole in linear space; The linear spatial coordinates of the geological exploration borehole are projected onto the two coordinate axes of the linear space, and the density of the projected points on the two coordinate axes of the linear space is calculated using the kernel density estimation algorithm to obtain the second kernel density estimation curve of the geological exploration borehole.

[0009] Preferably, according to the formula: A linear coordinate transformation is performed on the geographic coordinates of the geological exploration boreholes; where, For the first Geographic coordinates of each geological exploration borehole , The number of geological exploration boreholes in open-pit mines; For the first The linear spatial coordinates of a geological exploration borehole in linear space.

[0010] Preferably, the coordinate axis values ​​corresponding to the peak values ​​on the second kernel density estimation curve are statistically analyzed to construct a peak matrix; The linear spatial coordinates of the geological exploration borehole are subtracted element-by-element from the peak matrix, and the position of the element with the smallest modulus in the matrix obtained by the subtraction operation is used as the adaptive grid position of the geological exploration borehole to construct an adaptive grid.

[0011] Preferably, a peak matrix is ​​constructed. : In the formula The coordinate axis value corresponding to the peak value on the second kernel density estimation curve on the horizontal axis of the linear space; Let be the coordinate axis value corresponding to the peak value on the second kernel density estimation curve on the ordinate axis of the linear space; where, For the first Linear spatial coordinates of a geological exploration borehole in linear space; The number of peak points on the horizontal axis of the linear space for estimating the second kernel density curve. The number of peak points on the vertical axis of the linear space for estimating the second kernel density curve.

[0012] Preferably, the first The linear spatial coordinates of each geological exploration well are subtracted element-wise from the peak matrix, and the element with the smallest modulus in the resulting matrix is ​​taken as the position of the first element. Adaptive grid position for each geological exploration borehole; Traversal The linear spatial coordinates of each geological exploration borehole, and based on the obtained... The adaptive grid location of each geological exploration borehole is used to construct a geological exploration spatial grid.

[0013] This embodiment also provides an adaptive open-pit geological exploration spatial grid mapping system, which uses any of the above-mentioned adaptive open-pit geological exploration spatial grid mapping methods to perform open-pit geological exploration spatial grid mapping. The system includes: The first kernel density unit is configured to determine the first kernel density estimation curve of the geological exploration borehole based on the Hough space curve of the geographic coordinates of the open-pit geological exploration borehole, and to construct the linear space of the geological exploration borehole based on the first kernel density estimation curve. The second kernel density unit is configured to convert the geographic coordinates of the geological exploration borehole into linear spatial coordinates and determine the second kernel density estimation curve of the geological exploration borehole based on the linear spatial coordinates. The adaptive grid cell is configured to construct a peak matrix based on the coordinate axis values ​​corresponding to the peak of the second kernel density estimation curve, and to determine the adaptive grid position of the geological exploration borehole based on the linear spatial coordinates of the geological exploration borehole and the peak matrix.

[0014] Beneficial effects: The adaptive open-pit geological spatial grid mapping method and system provided in this application, based on the Hough space curve of the geographic coordinates of open-pit geological exploration boreholes, determines the first kernel density estimation curve of the geological exploration boreholes and constructs a linear space of the geological exploration boreholes based on the first kernel density estimation curve. Then, the geographic coordinates of the geological exploration boreholes are converted into linear spatial coordinates, and a second kernel density estimation curve of the geological exploration boreholes is determined based on the linear spatial coordinates. Finally, a peak matrix is ​​constructed based on the coordinate axis values ​​corresponding to the peak values ​​of the second kernel density estimation curve, and the adaptive grid position of the geological exploration boreholes is determined based on the linear spatial coordinates of the geological exploration boreholes and the peak matrix. This effectively combines the drawing of open-pit geological exploration lines, automatically generates an adaptive grid, realizes an adaptive open-pit geological exploration borehole grid, and determines the position of each open-pit geological exploration borehole in the grid, providing a new means for three-dimensional geological modeling of open-pit mines and meeting the practical needs of combining open-pit geological exploration with three-dimensional geological modeling. Attached Figure Description

[0015] The accompanying drawings, which form part of this application, are used to provide a further understanding of this application. The illustrative embodiments and descriptions of this application are used to explain this application and do not constitute an undue limitation of this application. Wherein: Figure 1 This is a flowchart illustrating an adaptive open-pit mine geological spatial grid mapping method according to some embodiments of this application; Figure 2 This is a logical schematic diagram of an adaptive open-pit mine geological spatial grid mapping method provided according to some embodiments of this application; Figure 3 This is a scatter plot of the original coordinates of an open-pit geological exploration borehole provided according to an embodiment of this application; Figure 4 for Figure 3 The above-mentioned open-pit geological exploration borehole is shown as a scatter plot of geographic coordinates after translation and transformation of the original coordinates. Figure 5 for Figure 4 The above-mentioned open-pit geological exploration borehole is shown in the Hough space curve diagram of its geographic coordinates. Figure 6 for Figure 5 The above-mentioned open-pit geological exploration boreholes are plotted as Hough space curves intersecting at the scatter points. Figure 7 for Figure 6The intersection of the Hough space curves of the geographic coordinates of the open-pit geological exploration boreholes shown in the figure lies on the horizontal axis. The first kernel density estimation curve on the graph; Figure 8 for Figure 7 The horizontal axis values ​​corresponding to the two largest peaks on the first kernel density estimation curve shown are... unit vector Directional diagram; Figure 9 for Figure 4 The above is a scatter plot of the linear spatial coordinates of the geographical coordinates of the open-pit geological exploration borehole. Figure 10 for Figure 9 The diagram shows a peak matrix constructed from the coordinate axis values ​​corresponding to the peak value of the second kernel density estimation curve of the open-pit geological exploration borehole. Figure 11 An image showing an adaptive mesh constructed according to an embodiment of this application; Figure 12 This is a schematic diagram of the structure of an adaptive open-pit mine geological spatial grid mapping system provided according to some embodiments of this application. Detailed Implementation

[0016] The present application will now be described in detail with reference to the accompanying drawings and embodiments. Various examples are provided by way of explanation and not by way of limitation. In fact, those skilled in the art will understand that modifications and variations can be made to the present application without departing from the scope or spirit of the present application. For example, a feature shown or described as part of one embodiment may be used in another embodiment to produce yet another embodiment. All other embodiments obtained by those skilled in the art based on the embodiments of the present invention should fall within the scope of protection of the embodiments of the present invention.

[0017] Currently, the mainstream method for 3D geological modeling of open-pit mines is based on triangulation meshes, but this method has two key limitations: First, at the data structure level, triangular meshes are incompatible with actual geological exploration work patterns. Open-pit mine geological exploration is usually based on the arrangement of exploration lines using roughly parallel quadrilateral meshes, while the generation process of triangular meshes has inherent randomness. This structural difference makes it impossible to fully utilize existing geological data from exploration lines, and the generated 3D model is difficult to compare and verify intuitively with the original exploration line data.

[0018] Secondly, in terms of spatial interpolation methods, the triangular mesh algorithm cannot adapt to the characteristics of open-pit mining exploration. Because actual exploration borehole layouts often exhibit non-uniform distribution, skips, and discontinuities, the standard triangular mesh interpolation algorithm lacks the ability to identify and process such special geological sampling patterns, leading to interpolation results that may deviate from the actual geological conditions.

[0019] The limitations of existing methods fail to fully incorporate the practical characteristics of open-pit geological exploration, significantly impacting the accuracy and reliability of 3D geological models. Therefore, this embodiment proposes an adaptive open-pit geological exploration spatial grid mapping method. This method combines existing geological exploration line data with 3D modeling, automatically generating an adaptive quadrilateral grid and determining the position of each open-pit geological exploration borehole within the grid. It also identifies jumps and discontinuities in the exploration boreholes, providing a foundation for constructing new 3D geological models of open-pit mines.

[0020] like Figures 1 to 11 As shown, this adaptive open-pit geological exploration spatial grid mapping method includes: Step S101: Based on the Hough space curve of the geographical coordinates of the open-pit geological exploration borehole in the predefined coordinate system, determine the first kernel density estimation curve of the geological exploration borehole and construct the linear space of the geological exploration borehole based on the first kernel density estimation curve.

[0021] In this implementation, a Hough transform is performed on the geographic coordinates of geological exploration boreholes in any projected coordinate system (e.g., CGC2000) to obtain the Hough space curve of the borehole's geographic coordinates in the projected coordinate system. Specifically, in the projected coordinate system, with the origin of the projected coordinate system as the center point of the open-pit geological exploration borehole's geographic coordinates, a Hough transform is performed on the geographic coordinates of the open-pit geological exploration borehole to obtain its Hough space curve. Specifically, the geographic center point of the open-pit geological exploration borehole is calculated using its obtained geographic coordinates, and this calculated center point is translated to the origin of the projected coordinate system. Simultaneously, the geographic coordinates of the borehole are translated to obtain its geographic coordinates in the projected coordinate system (translated coordinates). Then, a Hough transform is performed on the translated geographic coordinates of the borehole to obtain its Hough space curve (translated coordinates).

[0022] In a specific example, the set of original coordinates of open-pit geological exploration boreholes is defined as follows: ,have: In the formula, , For open-pit mine The original coordinates of the geological exploration boreholes The number of geological exploration boreholes in open-pit mines. It is a positive integer.

[0023] Then, calculate the obtained open-pit mine The center point of the original coordinates of each geological exploration borehole Specifically: Next, with the center point To determine the origin of the predefined coordinate system, the original coordinates of the geological exploration borehole are translated. The geographic coordinates of each geological exploration borehole in a predefined coordinate system. In the formula, Center point As the origin of the predefined coordinate system, the first... The original coordinates of each geological exploration borehole are transformed into their geographic coordinates. This results in a set of geographic coordinates for each geological exploration borehole. .

[0024] The Hough transform is a parameter-based transformation. This represents the geographic coordinates of the open-pit geological exploration borehole obtained through translation, specifically according to the formula: Geographic coordinates of open-pit geological exploration boreholes obtained by translation Perform the Hough transform; where, For the first The Hough space curves of the geographic coordinates of each geological exploration well. Here, Hough space refers to... As the x-axis, with Let be the coordinate space with ordinate . Furthermore, there is a set of Hough space curves with the geographic coordinates of geological exploration wells. .

[0025] In this embodiment, the intersection of the Hough space curves of the geographic coordinates of the geological exploration borehole refers to the intersection of the Hough space curves of the geographic coordinates of any two translated open-pit geological exploration boreholes. The set constituted, wherein, according to the formula: The first step in calculating the geographic coordinates of geological exploration boreholes Intersection of Hough space curves In the formula, For the first Geographic coordinates of each geological exploration borehole For the first Geographic coordinates of each geological exploration borehole Characterizing geographic coordinates with geographic coordinates The intersection points of the Hough space curves; where, , , , The number of geological exploration boreholes in open-pit mines. , The number of intersections of the Hough space curves of the geographic coordinates of each geological exploration borehole. The numbers are the intersection points of the Hough space curves. Geographic coordinates of geological exploration boreholes The first intersection point of the Hough space curve indivual.

[0026] Then, the first kernel density estimation curve for the geological exploration borehole is determined using a kernel density estimation algorithm. Specifically, the density of the projection points of the curve intersection points onto the Hough space coordinate axes is calculated using the kernel density estimation algorithm to obtain the first kernel density estimation curve. Taking the horizontal axis as an example, after projecting the Hough space curve intersection points of the geological exploration borehole's geographic coordinates onto the horizontal axis, the density is calculated according to the formula: Calculate any point on the x-axis of Hough space nuclear density In the formula, The intersection point of the curves lies on the horizontal axis of Hough space. The projection on Let be the kernel density estimation function. For bandwidth. In a specific example, the Gaussian kernel density estimation function is used to calculate the bandwidth at any point on the x-axis of the Hough space. nuclear density ,have: In the formula, The intersection point of the curves lies on the horizontal axis of Hough space. The standard deviation of the projection on the Hough space is then used. Connecting the kernel densities of all points on the Hough space's horizontal axis yields the first kernel density estimation curve.

[0027] Next, according to the formula: Calculate the x-axis of Hough space The x-axis values ​​corresponding to the two maximum peaks on the first kernel density estimation curve of the upper projection point In the formula, The maximum peak value on the first kernel density estimation curve is on the horizontal axis. The corresponding x-axis value, For the first kernel density estimation curve, except The maximum peak value outside the horizontal axis The corresponding x-axis value, i.e. The second largest peak of the first kernel density estimation curve is on the horizontal axis. The corresponding x-axis value; Characterization kernel density estimation algorithm.

[0028] After obtaining the horizontal coordinate axis of Hough space The x-axis values ​​corresponding to the two maximum peaks on the first kernel density estimation curve of the upper projection point Then, according to the formula: Calculate the x-axis values unit vector The coordinate space formed by the unit vectors corresponding to each geological exploration borehole constitutes the linear space for constructing the geological exploration borehole.

[0029] Step S102: Convert the geographic coordinates of the geological exploration borehole into linear spatial coordinates, and determine the second core density estimation curve of the geological exploration borehole based on the linear spatial coordinates.

[0030] In this embodiment, the linear spatial coordinates of the geological exploration borehole are obtained by performing a linear coordinate transformation on the geographic coordinates of the borehole. Specifically, according to the formula: A linear coordinate transformation is performed on the geographic coordinates of the geological exploration borehole to obtain its linear spatial coordinates in linear space; where, For the first Geographic coordinates of each geological exploration borehole , The number of geological exploration boreholes in open-pit mines; For the first The linear spatial coordinates of a geological exploration borehole in linear space.

[0031] Furthermore, the linear spatial coordinates of the geological exploration borehole are projected onto the two coordinate axes of the linear space (the horizontal axis of the linear space). , coordinate vertical axis On the coordinate axis, the linear spatial coordinates of the geological exploration boreholes are plotted on the horizontal axis. , coordinate vertical axis The projection is performed on the surface, and the kernel density of the projection point is calculated using a kernel density estimation algorithm to determine the second kernel density estimation curve of the geological exploration borehole in linear space.

[0032] In a specific example, the linear spatial coordinates of the geological exploration borehole are projected onto the horizontal axis of the linear spatial coordinate system. After that, the Gaussian kernel density estimation function is used to calculate the horizontal axis of the linear spatial coordinates. Take office at one point nuclear density ,have: In the formula, The linear spatial coordinates of the geological exploration borehole are on the horizontal axis of the linear space. The standard deviation of the projection on the surface.

[0033] Step S103: Construct a peak matrix based on the coordinate axis values ​​corresponding to the peak of the second kernel density estimation curve, and determine the adaptive grid position of the geological exploration borehole based on the linear spatial coordinates of the geological exploration borehole and the peak matrix.

[0034] In this embodiment, the peak value of the second kernel density estimation curve of the geological exploration borehole is located on the horizontal axis of the coordinate system in linear space. , coordinate vertical axis The coordinate axis values ​​are statistically analyzed to construct a peak matrix. Among them, the peak matrix as follows: In the formula The coordinate axis value corresponding to the peak value on the second kernel density estimation curve on the horizontal axis of the linear space; Let be the coordinate axis value corresponding to the peak value on the second kernel density estimation curve on the ordinate axis of the linear space; where For the first Linear spatial coordinates of a geological exploration borehole in linear space; The number of peak points on the horizontal axis of the linear space for estimating the second kernel density curve; The number of peak points on the vertical axis of the linear space for estimating the second kernel density curve.

[0035] Next, according to the formula: The first The linear spatial coordinates of each geological exploration well are subtracted element-wise from the peak matrix, and the resulting matrix is ​​then... The position of the smallest element in the matrix is ​​taken as the first... The adaptive grid location for each geological exploration borehole. Specifically, according to the formula: Determine the position of the element with the smallest modulus in the matrix obtained by the subtraction operation. In the formula, The matrix obtained by the subtraction operation Middle elements The model, that is , Representing real numbers, i.e., matrices All elements in the set are real numbers.

[0036] In a specific example, for the coordinates of geological exploration boreholes in linear space There is a matrix any element The modulus is: like In the matrix The smallest of all elements is the geological borehole coordinate in linear space. The position in the adaptive grid is the horizontal [number]. The first, vertically One. Traverse The linear spatial coordinates of each geological exploration borehole, based on the obtained By constructing an adaptive grid location for each geological exploration borehole, a spatial grid for geological exploration is achieved, thereby realizing an adaptive open-pit mine exploration borehole grid and providing a new means for three-dimensional geological modeling of open-pit mines.

[0037] This embodiment effectively combines the drawing of open-pit geological exploration lines, automatically generates adaptive grids, realizes an adaptive open-pit exploration borehole grid, and determines the position of each open-pit geological exploration borehole in the grid. It provides a new means for three-dimensional geological modeling of open-pit mines and meets the actual needs of combining open-pit geological exploration with three-dimensional geological modeling.

[0038] This embodiment also provides an adaptive open-pit mine geological exploration spatial grid mapping system, such as... Figure 12 As shown, the adaptive open-pit geological exploration spatial grid mapping method of any of the above embodiments is used for open-pit geological exploration spatial grid mapping. The system includes: The first kernel density unit 1201 is configured to determine the first kernel density estimation curve of the geological exploration hole based on the Hough space curve of the geographic coordinates of the open-pit geological exploration hole and to construct the linear space of the geological exploration hole based on the first kernel density estimation curve. The second kernel density unit 1202 is configured to convert the geographic coordinates of the geological exploration borehole into linear spatial coordinates, and determine the second kernel density estimation curve of the geological exploration borehole based on the linear spatial coordinates. The adaptive grid cell 1203 is configured to construct a peak matrix based on the coordinate axis values ​​corresponding to the peak of the second kernel density estimation curve, and to determine the adaptive grid position of the geological exploration hole based on the linear spatial coordinates of the geological exploration hole and the peak matrix.

[0039] The adaptive open-pit geological exploration spatial grid mapping system provided in this embodiment can realize the steps and processes of the adaptive open-pit geological exploration spatial grid mapping method of any of the above embodiments and achieve the same technical effect, which will not be described in detail here.

[0040] In the description of this invention, the terms "one embodiment," "some embodiments," "example," "specific example," or "some examples," etc., refer to a specific feature, structure, material, or characteristic described in connection with that embodiment or example, which is included in at least one embodiment or example of the invention. In this specification, the illustrative expressions of the above terms do not necessarily refer to the same embodiment or example. Moreover, the specific features, structures, materials, or characteristics described may be combined in any suitable manner in one or more embodiments or examples.

[0041] The above description is merely a preferred embodiment of this application and is not intended to limit this application. Various modifications and variations can be made to this application by those skilled in the art. Any modifications, equivalent substitutions, improvements, etc., made within the spirit and principles of this application should be included within the protection scope of this application.

Claims

1. An adaptive spatial grid mapping method for open-pit geological exploration, characterized in that, include: Based on the Hough space curve of the geographic coordinates of open-pit geological exploration boreholes, the first kernel density estimation curve of the geological exploration boreholes is determined, and the linear space of the geological exploration boreholes is constructed based on the first kernel density estimation curve. The geographic coordinates of the geological exploration boreholes are converted into linear spatial coordinates, and the second core density estimation curve of the geological exploration boreholes is determined based on the linear spatial coordinates. A peak matrix is ​​constructed based on the coordinate axis values ​​corresponding to the peak values ​​of the second kernel density estimation curve, and the adaptive grid position of the geological exploration borehole is determined based on the linear spatial coordinates of the geological exploration borehole and the peak matrix.

2. The method according to claim 1, characterized in that, In a predefined coordinate system, the geographic coordinates of the geological exploration borehole are subjected to Hough transformation to obtain the Hough space curve of the geographic coordinates of the geological exploration borehole. The intersection points of the Hough space curves of the geographic coordinates of the geological exploration boreholes are calculated, and the first kernel density estimation curve of the geological exploration boreholes is determined by the kernel density estimation algorithm. Calculate the x-axis values ​​corresponding to the two maximum peaks on the first kernel density estimation curve. unit vector and based on unit vectors Construct the linear space of geological exploration boreholes.

3. The method according to claim 2, characterized in that, Calculated open-pit mine The center point of the original coordinates of each geological exploration borehole and with the center point To determine the origin of the predefined coordinate system, the original coordinates of the geological exploration borehole are translated. The geographic coordinates of each geological exploration borehole in a predefined coordinate system; among which... It is a positive integer.

4. The method according to claim 2, characterized in that, According to the formula: The first step in calculating the geographic coordinates of geological exploration boreholes Intersection of Hough space curves ; In the formula, For the first Geographic coordinates of each geological exploration borehole For the first Geographic coordinates of each geological exploration borehole Geographic coordinates with geographic coordinates Intersection of Hough space curves; in, , express The number of intersections of the Hough space curves of the geographic coordinates of each geological exploration borehole. , The index of the intersection point of the Hough space curve; , , This refers to the number of geological exploration boreholes in open-pit mines.

5. The method according to claim 2, characterized in that, 【Step S102】 The geographic coordinates of the geological exploration boreholes are transformed linearly to obtain the linear spatial coordinates of the geological exploration boreholes in linear space. The linear spatial coordinates of the geological exploration borehole are projected onto the two coordinate axes of the linear space, and the density of the projected points on the two coordinate axes of the linear space is calculated using the kernel density estimation algorithm to obtain the second kernel density estimation curve of the geological exploration borehole.

6. The method according to claim 5, characterized in that, According to the formula: Perform linear coordinate transformation on the geographic coordinates of the geological exploration boreholes; In the formula, For the first Geographic coordinates of each geological exploration borehole , The number of geological exploration boreholes in open-pit mines; For the first The linear spatial coordinates of a geological exploration borehole in linear space.

7. The method according to claim 1, characterized in that, The coordinate axis values ​​corresponding to the peak values ​​on the second kernel density estimation curve are statistically analyzed to construct a peak matrix; The linear spatial coordinates of the geological exploration borehole are subtracted element-by-element from the peak matrix, and the position of the element with the smallest modulus in the matrix obtained by the subtraction operation is used as the adaptive grid position of the geological exploration borehole to construct an adaptive grid.

8. The method according to claim 1, characterized in that, Constructing the peak matrix : In the formula The coordinate axis value corresponding to the peak value on the second kernel density estimation curve on the horizontal axis of the linear space; Let be the coordinate axis value corresponding to the peak value on the second kernel density estimation curve on the ordinate axis of the linear space; where, For the first Linear spatial coordinates of a geological exploration borehole in linear space; The number of peak points on the horizontal axis of the linear space for estimating the second kernel density curve. The number of peak points on the vertical axis of the linear space for estimating the second kernel density curve.

9. The method according to claim 1, characterized in that, The first The linear spatial coordinates of each geological exploration well are subtracted element-wise from the peak matrix, and the element with the smallest modulus in the resulting matrix is ​​taken as the position of the first element. Adaptive grid position for each geological exploration borehole; Traversal The linear spatial coordinates of each geological exploration borehole, and based on the obtained... The adaptive grid location of each geological exploration borehole is used to construct a geological exploration spatial grid.

10. An adaptive spatial grid mapping system for open-pit mine geological exploration, characterized in that, The system employs any one of the adaptive open-pit geological exploration spatial grid mapping methods of claims 1-9 to perform open-pit geological exploration spatial grid mapping, and includes: The first kernel density unit is configured to determine the first kernel density estimation curve of the geological exploration borehole based on the Hough space curve of the geographic coordinates of the open-pit geological exploration borehole, and to construct the linear space of the geological exploration borehole based on the first kernel density estimation curve. The second kernel density unit is configured to convert the geographic coordinates of the geological exploration borehole into linear spatial coordinates and determine the second kernel density estimation curve of the geological exploration borehole based on the linear spatial coordinates. The adaptive grid cell is configured to construct a peak matrix based on the coordinate axis values ​​corresponding to the peak of the second kernel density estimation curve, and to determine the adaptive grid position of the geological exploration borehole based on the linear spatial coordinates of the geological exploration borehole and the peak matrix.

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