RU2759499C1 - Method for updating altitude-gravimetric parameters in the local area of map information - Google Patents

Abstract

FIELD: geodesy.SUBSTANCE: invention relates to the field of geodesy, and in particular to methods for refining low-precision models of the earth's surface relief, can be used to create and update digital maps of the area using topographic tablets, topographic maps, photographic maps of the area, special maps, graphic documents and others as a source material similar materials, gravimetric maps and other geophysical materials.EFFECT: updating low-precision models of the earth's surface relief by clarifying the altitude-gravimetric parameters at arbitrary points of the local area of ​​cartographic information, in which high-precision measurements of height, acceleration of gravity and anomalies of acceleration of gravity, deviation of the plumb line, from points with altitude-gravimetric parameters, which has additional high-precision geodetic information about the height, the acceleration of gravity, the deviation of the plumb line.1 cl, 1 dwg

Description

The invention relates to the field of geodesy, and in particular to methods for refining low-precision models of the earth's surface relief, can be used to create and update digital maps of the area using topographic tablets, topographic maps, photographic maps of the area, special (navigation) maps, graphic documents and other similar materials, gravimetric maps and other geophysical materials (hereinafter - Cartographic information).

The metadata of electronic maps includes data that allows you to describe the content, volume, position in space, quality (accuracy, completeness, reliability and modernity) and other characteristics of electronic maps, as well as data of geodetic, gravimetric, photogrammetric and cartographic information that is used to create (update) and the use of electronic maps [1, p. 1].

When creating and updating the altitude and gravimetric foundations of cartographic information, as a rule, the following materials are used [1, p. 4-5; 2, p. 5-7]:

catalogs (lists) of coordinates and heights of geodetic points and points of the survey network;

catalogs of gravimetric points and points of gravimetric surveys;

models of the Earth's gravitational field, anomalous Earth's gravitational field;

gravimetric maps;

calculated and statistical characteristics: prevailing angles of inclination of the earth's surface, average level of standard deviations of relief heights, correlation radius of relief heights, minimum and maximum relief heights, maximum height of high-rise objects;

materials of air, ground photography and space photography;

publishing originals, their duplicates or microfiches, production prints of maps and plans;

special maps and plans of departmental organizations and other cartographic materials (duty cards, etc.);

materials on which the updated map was created (aerial photographs with field preparation points and data of photogrammetric concentration of control points, negatives, photo standards or interpretation samples, etc.), as well as forms of updated map sheets;

literary reference materials (descriptions of the area, reference books of administrative-territorial division, dictionaries-reference books of geographical names, schemes and profiles of railways and highways, oil and gas pipelines, communication lines and power transmission lines, etc.).

The points of the state leveling network, points of the state geodetic network and geodetic networks of concentration, the heights of which are determined by geometric or trigonometric leveling, as well as points of the high-altitude survey network, the heights of which are reduced to the accepted initial level (relative heights), serve as the reference geodetic basis of cartographic information in terms of altitude.

Gravimetric information is typically generated from the gravity grid points of polygon methods. The measurement of the difference in the acceleration of gravity at the points of the state support network and the bases for standardizing gravimeters is carried out simultaneously by a group of gravimeters and repeated in several independent regions. Also, the spatial coordinates of gravimetric points are used to calculate gravity anomalies, compiling point catalogs and plotting points on maps, determining the deviation of the plumb line in the planes of the meridian and the first vertical [3, p. 227-235, 300-305]. Further, the parameters of height, acceleration of gravity (UST) and the deviation of the plumb line (UOL) are defined as altitude-gravimetric parameters (VGP).

The main disadvantage of the methods for creating a horizontal-height and gravimetric basis for the formation of cartographic information is that when using mathematical methods for equalizing an array of control points, a total root-mean-square error (RMS) is formed for both the horizontal coordinates and for the altitude and gravimetric basis of cartographic information. There is a need to reduce the RMS of the altitude-gravimetric parameters in the local area of cartographic information obtained with large errors. There are known methods that allow updating local areas of cartographic information, including reducing the altitude-gravimetric base at certain points of the RMS.

There is a known method for surveying and / or updating territory maps (RU No. 2249179, 2005), including determining the location of objects in this territory using radio signals from artificial earth satellites (AES) recorded by receivers installed, using outdated materials of the surveyed territory, which is different that the surveyed territory is divided according to geophysical and economic characteristics into local areas, in the center of which, at a place free from interference with satellite radio signals with known coordinates, a stationary base radio signal receiver (BPRS) with a satellite and the necessary engineering and technical means is mounted at the turning points of the boundaries of coordinated areal objects, one or two mobile radio signal receivers (MPRS) with satellites are installed, radio signals from the satellite are simultaneously recorded by the MPRS and MPRS, according to the parameters of the registered radio signals and the known coordinates of the MPRS, the coordinates of the turning points gr coordinates of the coordinated areal objects, scan the updated cartographic material of the surveyed territory, enter the resulting image into the computer, use the coordinates of the turning points calculated by the COI to specify the location and boundaries of the coordinated areal objects in the display on the computer screen, create an updated digital cartographic base of the surveyed area from the received materials, use it in geographic information systems for various purposes, print out from it on a plotter and / or on a photoplotter the required types of maps of the required territory, establish boundaries and boundary marks with its help.

The known method is intended for updating the partial (local) correction of the planning and cartographic material of individual areas of the territory after 1-3 years without installing global geodetic satellite systems, and also in many cases without using space and / or aerial photography of the surveyed area. The disadvantage of this method is that the actualization of the altitude-gravimetric parameters in local areas of the cartographic material is not considered.

There is a known method for clarifying the navigation of old magnetic surveys, performed with large coordination errors (RU # 2676390, 2018), containing a chart of graphs of the observed magnetic field module in coordinates, a digital model of the map in a rectangular network of points and its SKP, characterized in that according to the given they carry out modern high-precision magnetic survey in old coordinates with high-precision satellite navigation, search for the position of the values of the modern survey on the map using the correlation method, find the intersection point of the modern route with the old routes, assign the coordinates obtained by the transfer parallel to itself to the intersection point of the old routes with the new ones in the new coordinate system of the entire old route and / or its part located between the two modern routes, so that the found point of maximum correlation of the field of the old one specifies the coordinates of all old routes, builds a new digital model of the old map that is linked by coordinates and calculates Its SKP is calculated by the intersections of the new map with real measurements; the difference between this old and new errors is an estimate of the reliability of the field linking by new coordinates.

The known method is intended to refine the low-precision coordinates of the measurement points on old profiles using modern high-precision magnetic surveys with high precision satellite navigation.

The disadvantages of this method are that the actualization of the VGP in local areas of the cartographic material is not considered based on the results of modern high-precision geodetic surveys with high accuracy of satellite navigation, measurements obtained with high accuracy from other sources of information are not taken into account, and the dynamics of changes in the correlation radius of altitude and gravimetric parameters corresponding to a change in the relief structure in the local area of cartographic information.

The closest in technical essence to the claimed invention is a method for updating altitude parameters in the local area of cartographic information (RU # 2737386, 2020), which consists in the fact that an array of points with the values of low-precision altitude parameters is formed and the corresponding rectangular coordinates in the local area of cartographic information, form arrays of points with the values of high-precision altitude parameters obtained in the same local area by the satellite method, from catalogs of closely located points of the state geodetic and / or leveling networks, when conducting new tacheometric and / or theodolite surveys of the terrain and / or leveling moves, using high-precision maps and / or maps with a scale larger but smaller than the original cartographic base and the corresponding values of rectangular coordinates, which are equal to the values of rectangular coordinates of cartographic information of low-precision altitude parameters, characterized in that they take into account dynamics of the correlation radius of heights in the local area of low-precision cartographic information, depending on the change in the relief structure when choosing the maximum distances between arbitrary points and points with redundant geodetic information about the height according to the known coordinates of low-precision cartographic information for the formation of correlations between altitude parameters, form the residual residuals between values of altitude parameters and their errors at points with redundant geodetic information about the height, reduce the mean square error of low-precision altitude parameters at arbitrary points of local areas of cartographic information, in which additional measurements of heights were not carried out, from points where there is redundant high-precision geodetic information about the height ...

The known method is intended for updating low-precision models of the earth's surface relief by specifying altitude parameters at arbitrary points of the local area of cartographic information, in which high-precision measurements of heights were not carried out, from points with altitude parameters, in which there is additional (redundant) high-precision geodetic information about the height.

The disadvantages of this method are that the actualization of the gravimetric base in local areas of the cartographic material from the altitude base is not considered, and the relationship between altitude and gravimetric parameters obtained with high accuracy from heterogeneous sources of information is not considered, and the dynamics of changes in the correlation radius of gravimetric parameters corresponding to changes in the relief structure in the local area of cartographic information.

The purpose of the invention is to update low-precision models of the earth's surface relief by refining the VGP at arbitrary points of the local area of cartographic information, in which high-precision measurements of altitude were not carried out, UST (UST anomalies), UOL, from points with VGP, in which there is an additional (redundant) high-precision geodetic information about height, UST (UST anomalies), UOL.

The required technical result is achieved by the fact that when the method of updating the altitude-gravimetric parameters in the local area of cartographic information, which consists in refining low-precision VGP in the local area of cartographic information, arrays of points with the values of high-precision VGP obtained in the same local area and / or in nearby local areas by the satellite method, from catalogs of closely located points of the state geodetic and / or leveling and / or gravimetric networks, when conducting new tacheometric and / or theodolite surveys of the terrain and / or leveling moves and / or gravimetric flights and / or astronomical observations, using high-precision maps and / or scale maps larger but smaller than the original cartographic base and the corresponding values of rectangular coordinates, which are equal to the values of rectangular coordinates of cartographic information of low-precision altitude parameters, which consists in taking into account the dynamics of the radius correlations of gravimetric parameters in the local area of low-precision cartographic information, depending on the change in the relief structure when choosing the maximum distances between arbitrary points and points with redundant geodetic and / or geophysical information about the VGP according to the known coordinates of low-precision cartographic information for the formation of correlations between VGP, form the difference residuals between the values of VGP and their errors at points with redundant geodetic and / or geophysical information about VGP, form an a priori block correlation matrix of errors of the array of VGP points, determined from cartographic information, taking into account their correlations, reduce the RMS of low-current VGP at arbitrary points of local areas of cartographic information , in which additional measurements were not carried out, from the points at which there is redundant high-precision information, the RMS of low-current single VGPs, heights and / or UST, UST and / or UOL are reduced, the height through the UST o t UOL, UOL through the UST from the height, at points of local areas of low-precision cartographic information, in which high-precision measurements were not carried out and there is no additional high-precision information, from points where there is redundant high-precision information.

The essence of the invention is illustrated by a structural diagram, where in FIG. 1 shows:

1 - block of an array of points with heights, acceleration of gravity (anomalies of acceleration of gravity), deviation of the plumb line and rectangular coordinates obtained from low-precision cartographic information;

2 - block of an array of points with heights obtained by the satellite method;

3 - block of an array of points with heights obtained from nearby points of the state geodetic (leveling) network;

4 - block of an array of points with heights obtained from new tacheometric surveys, theodolite moves, leveling surveys;

5 - block of an array of points with heights obtained from high-precision cartographic information and / or maps with a scale larger but smaller than the original low-precision cartographic information;

6 - block of an array of points with acceleration of gravity (anomalies of acceleration of gravity), obtained by instrumental means and / or from points of the gravimetric network;

7 - block of an array of points with acceleration of gravity (anomalies of acceleration of gravity), obtained from gravimetric maps of a larger scale;

8 - block of the array of points with the deviation of the plumb line, obtained by instrumental means;

9 - block of an array of points with a plumb line deviation obtained from gravimetric maps of a larger scale;

10 - block for calculating the maximum distances between a set of arbitrary points and points with excessive altitude-gravimetric parameters according to the known coordinates of low-precision cartographic information;

11 - block for recording expressions that establish differential residuals between the values of altitude-gravimetric parameters and their errors, obtained from cartographic information and additional sources of information;

12 - block of data matching between the maximum distances of the array of all selected points from blocks 10, 13, taking into account the dynamics of changes in the correlation radii of altitude-gravimetric parameters for the local area of cartographic information;

13 - block for selecting the correlation radius of altitude-gravimetric parameters for the local area of cartographic information, taking into account the analysis of the dynamics of changes in the relief structure;

14 - block of formation of correlations, block correlation matrix of errors of altitude-gravimetric parameters;

15 - block for updating the altitude-gravimetric parameters in the local area of cartographic information;

16 - block for outputting altitude-gravimetric parameters in the local area of cartographic information.

The invention works as follows:

choose a perimeter (local area) on low-precision cartographic information, which includes topographic and gravimetric maps, the area depends on the range of special tasks to be solved;

within the boundaries of the selected perimeter and / or in a nearby area, high-precision measurements of the VGP, represented by blocks 2-9, are produced and / or obtained from heterogeneous sources of geodetic or geophysical information: an array of points of altitude parameters h _s with coordinates x _hS y _hs obtained by the satellite method is formed - block 2; an array of points of altitude parameters h _n and RMS of measurements of height σ _hn with coordinates x _n y _n obtained from catalogs of closely located points of the state geodetic and / or leveling network - block 3; an array of points of height parameters h _m and RMS height measurements σ _hm with coordinates x _m y _m obtained by the polygonometric method and / or geometric and / or trigonometric leveling using geodetic instruments: tacheometers, theodolites and / or levels - block 4; an array of points of altitude parameters h _j and RMS of height measurements σ _hj with rectangular coordinates x _j y _j obtained from high-precision cartographic information and / or from scale maps larger but smaller than the refined cartographic base - block 5; an array of points with the acceleration of gravity (anomalies of the acceleration of gravity) g (Δg), obtained by instrumental means and / or from the points of the gravimetric network with the corresponding rectangular coordinates x _g y _g - block 6; an array of points with gravity acceleration (gravity acceleration anomalies) g * (Δg *) obtained from high-precision gravimetric maps and / or from larger scale maps with corresponding rectangular coordinates x _{g *} y _{g *} on a topographic map - block 7; an array of points of deviations of the plumb line ξ, η, obtained by instrumental means (astronomical-geodetic method) with the corresponding rectangular coordinates x _ξ y _η on the topographic map - block 8; an array of points of deviations of the plumb line ξ ', η', obtained from gravimetric maps of a larger scale with the corresponding rectangular coordinates x _{ξ '} y _η' from a topographic map - block 9; the first outputs of blocks 2-9 with information about high-precision altitude-gravimetric parameters and their SKP are inputs to block 11, and the second outputs of blocks 2-9 with information about rectangular coordinates of points with additional geodetic or geophysical parameters are inputs to block 1;

define an array of points based on low-precision cartographic information - rectangular coordinates x _k y _k and rectangular coordinates of additional sources of geodetic or geophysical information x _hs y _hs , x _n y _n , x _m y _m , x _j y _j , x _g y _g , x _{g *} y _{g *} , x _ξ y _η , x _ξ y _{η '} , and the corresponding VGPs based on cartographic information h _k , g _k (Δg _k ), ξ _k , η _k and RMS maps σ _hk , σ _gk , σ _{ξ, ηk} , and also select arbitrary points with VGP H *, G *, ξ *, η * and their RMS according to cartographic information σ _hk , σ _gk , σ _{ξ, η} , in which it is necessary to reduce the RMS of cartographic information due to additional sources of information, and the corresponding rectangular coordinates obtained from the topographic map X _k Y _k - block 1; the first output of block 1 with VGP VGP is the first input to block 14, the second output with VGP values and their VGPs at arbitrary points is the first input to block 15, the third output of block 1 with values of rectangular coordinates at arbitrary points and points with redundant height parameters are inputs to block 10, the fourth output of block 1 with the values of the VGP and their SKP, determined by low-precision cartographic information, is the input to block 11;

calculate the distances S _{H * -h} , S _{G * -g} , S _{ξ *, η * -ξη} according to the known coordinates between arbitrary points X _k Y _k and points with redundant geodetic information x _hS y _hS , x _n y _n , x _m y _m , x _j y _j , x _g y _g , x _{g *} y _{g *} , x _ξ y _η , x _{ξ '} y _η' according to low-precision cartographic information - block 10; the output of block 10 is the first input of block 12;

register VGP and their RMS under the condition of a normal distribution law of a random variable and zero mathematical expectation M [x] = 0, obtained from low-precision cartographic information and additional sources of geodetic information, and also record expressions that establish residual residuals between measurement values by low-precision cartographic information and additional sources of geodetic and / or geophysical information and their errors at points with redundant information VGP X _k Y _k - block 11; the output of block 11 is the third input to block 15;

a comparison is made between the permissible correlation radii of the VGP r _{H *} , r _{G *} , r _{ξ *, η *} and the maximum distances S _{H * -h} , S _{G * -g} , S _{ξ *, η * -ξη} , selected points on a low-precision cartographic information, if the distance is greater than the value of the correlation radius, then the points with VGP are excluded from the measurement processing - block 12; the output of block 12 is the fourth input of block 15;

make a choice of admissible correlation radii r _{H *} , r _{G *} , r _{ξ *, η *} according to the results of the analysis of changes in the relief structure in the local area of cartographic information, corresponding to the values of VGP: for high-mountainous regions r _{H *} = 2 km, for mid _{-mountain regions r H *} = 6 km, for flat areas r _{H *} = 8 km [7, p. 126], r _{G *} = r _{ξ *, η *} -2 ... 4 km [8, p. 13] - block 13; the first output of block 13 is the second input to block 12, the second output of block 13 is the fifth input to block 15;

the low level of the components of the anomalous field (taking into account the corresponding reductions), the possibility of representing small areas of the geoid as flat areas can significantly simplify the relationships connecting the various components of the anomalous gravitational field of the Earth (AGPF). Correlation links of the block correlation matrix of the VGP errors of the correlation functions of the UST, UOL and their joint links K _h (x, y), K _g (x, y), K _ξ (x, y), K _η (x, y), K _ξη (x, y), K _gξ (x, y), K _gη (x, y), K _hg (x, y) of the AGPZ components - block 14;

calculate the actual values of VGP from the information received from blocks 1, 11-14, at arbitrary points of the local area of cartographic information according to the algorithm - block 15:

Start

1. Introduce the correlation function for the VGP, as a measure of the statistical relationship between the errors of the cartographic parameters. The relationship between the correlation functions depends on the distance between the selected points and has the form:

- дисперсия ошибок ВГП по картографическим данным;where

- variance of VGP errors according to cartographic data;

2. Carry out the construction of the vector of errors Z parameters of the VGP at points with low-precision cartographic information.

3. Form an a priori block covariance matrix of errors P of an array of VGP points, determined from cartographic information, taking into account the correlation functions

where Р _Δh , P _Δg , P _Δξ , Р _Δη are a priori covariance matrices of the VGP errors.

4. According to information from block 7, a matrix of discrepancies (residuals) E is formed.

5. Form the observation matrix M.

6. Form the covariance matrix of errors of additional sources of information for the array of points of the height parameters R.

7. Form the gain K for finding estimates of altitude parameters at each determined point.

в произвольных точках локальной области картографической информации.8. Carry out the calculation of estimates of GVP

at arbitrary points of the local area of cartographic information.

для актуализированных ВГП

картографической информации, а также выводят изменение СКП

на экран.9. Carry out the calculation of the a posteriori error matrix P * of cartographic information, as well as the new value of the RMS

for updated AIV

cartographic information, as well as display the change in the UPC

on the screen.

End

the output of block 15 is the input to block 16;

в локальной области картографической информации - блок 16.carry out the withdrawal of updated AIV

in the local area of cartographic information - block 16.

Thus, in the proposed new method, in addition to those listed in the closest analogue, the following additional actions are used:

1. Not only the sources of geophysical information are involved - an array of points with UST (UST anomalies), obtained by instrumental means and / or from points of the gravimetric network, an array of points with UST (UST anomalies) obtained from gravimetric maps of a larger scale, an array of points with UOL, obtained by an instrumental method, an array of points with a LOL obtained from gravimetric maps of a larger scale.

2. Analyze and take into account the dynamics of the correlation radius in the local area of cartographic information, depending on changes in the relief structure when choosing the maximum distances between arbitrary points and points with redundant geodetic information of gravimetric parameters (UST (UST anomaly), UOL) according to known coordinates obtained from low-current cartographic information.

3. Differential residuals are formed between the values of gravimetric parameters (UST (UST anomaly), UOL) and their errors at points with redundant geodetic information.

4. A priori block correlation matrix of errors of the array of VGP points, determined from cartographic information, taking into account their correlations, is formed.

5. Reduce the RMS of general VGP at points of local areas of low-precision cartographic information, in which high-precision measurements were not carried out, from points with VGP, in which there is redundant high-precision geodetic information about VGP.

6. Reduce the RMS of single VGPs, the height and / or UST, UST and / or UOL, the height through the UST from the UOL, UOL through the UST from the height, at the points of local areas of low-precision cartographic information, in which high-precision measurements were not carried out and there is no additional high-precision information , from points where there is redundant high-precision information.

A comparative analysis of the essential features of the existing methods of updating (clarifying) local areas of cartographic information and the present method shows that the proposed method, based on the use of additional operations associated with the analysis and taking into account the dynamics of the correlation radius in the local area of cartographic information and the formation of discrepancies between the values of VGP and their errors differ in that due to the processing of redundant information, a more accurate determination of the VGP is provided at the points of the local area of cartographic information, in which high-precision measurements of heights were not carried out, and also allows to reduce the RMS of single VGPs: height and / or UST, UST and / or UOL, height through UST from UOL, UOL through UST from height.

Thus, the technical result of the invention is achieved - updating the models of the earth's surface relief by reducing the RMS of the VGP in local areas of cartographic information obtained with large errors, in which high-precision measurements of heights were not carried out, from points with altitude parameters, in which there is redundant high-precision geodetic information about height.

Sources of information

1. GOST R 51353-99 Metadata of electronic cards. Geoinformation mapping (composition and content). M: GOSSTANDART RUSSIA, 1999 .-- 12 p.

2. GKINP 05-029-84 Basic provisions for the creation and updating of topographic maps of scales 1: 10000, 1: 25000, 1: 50000, 1: 100000, 1: 200000, 1: 500000,1: 1000000. M: GUGK, VTU GSh, 1984 .-- 29 p.

3. Ogorodnikov L.V., Shimbirev B.P., Yuzefovich A.P. Gravimetry. M: Nedra, 1978 .-- 325 p.

4. Vaschenko Yu.E., Rusinov PS, Filimonov V.V. Patent RU No. 2 249 179 C1, IPC G01C 11/10 "Method for surveying and / or updating territory maps." Publ. 03/27/2005. Bul. No. 9.

5. Palamarchuk V.K., Glinskaya N.V., Mishchenko O.N., Burdakova E.V., Petrov V.V. Patent RU No. 2 676 390 C2, IPC G01V 3/38 "Method for clarifying navigation of old magnetic surveys". Publ. 28.12.2018. Bul. # 1.

6. Sholokhov A.V., Kulak A.V., Lupanchuk V.Yu. Patent RU No. 2 737 386 C1, IPC G01C 11/10, G01V 3/38 "Method for updating altitude parameters in the local area of cartographic information." Publ. 11/27/2020. Bul. No. 33.

7. Avgustov L.I., Babichenko A.V., Orekhov M.I., Sukhorukov M.I., Shkred V.K. Navigation of aircraft in near-earth space. Edited by G.I. M .: OOO "Nauchtekhlitizdat", 2015. - 421 p.

8. Sholokhov A.V. Optimal estimation of the heights of points by the method of mean square collocation using data from a piecewise linear relief model / A.V. Sholokhov, I.M. Druzhinin // Geodesy and Cartography - Moscow, 2011 - №8 - p. 12-15.

Claims (1)

The method of updating the altitude-gravimetric parameters in the local area of cartographic information, which consists in the fact that they form an array of points with the values of low-precision altitude-gravimetric parameters and the corresponding rectangular coordinates in the local area of cartographic information, form arrays of points with the values of high-precision altitude-gravimetric parameters obtained in the same local area and / or in nearby local areas by the satellite method, from catalogs of closely located points of the state geodetic, and / or leveling, and / or gravimetric networks, when carrying out new tacheometric and / or theodolite surveys of the terrain, and / or leveling moves , and / or gravimetric voyages, and / or astronomical observations, on high-precision maps and / or maps of a scale larger but smaller than the original cartographic base and the corresponding values of rectangular coordinates, which are equal to the values of rectangular coordinates of the maps raphic information of low-precision altitude parameters, characterized in that they take into account the dynamics of the correlation radius of altitude-gravimetric parameters in the local area of low-precision cartographic information, depending on changes in the relief structure when choosing the maximum distances between arbitrary points and points with redundant geodetic and / or geophysical information about gravimetric parameters according to known coordinates of low-precision cartographic information for the formation of correlations between altitude-gravimetric parameters; form differential residuals between the values of altitude-gravimetric parameters and their errors at points with redundant geodetic and / or geophysical information about altitude-gravimetric parameters; form an a priori block correlation matrix of errors of an array of points of altitude-gravimetric parameters, determined from cartographic information, taking into account their correlations; reduce the root-mean-square error of low-precision general altitude-gravimetric parameters at arbitrary points of local areas of cartographic information, in which additional measurements were not carried out, from points where there is redundant high-precision information; reduce the root-mean-square error of low-precision single altitude-gravimetric parameters, heights and / or acceleration of gravity, acceleration of gravity and / or the deviation of the plumb line, the height through the acceleration of gravity from the deviation of the plumb line, the deviation of the plumb line through the acceleration of gravity from the height, in points of local areas of low-precision cartographic information, in which high-precision measurements were not carried out and there is no additional high-precision information, from points where there is redundant high-precision information.

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