CN105973213A - Laser plumbing method and system taking vertical deviation correction into account - Google Patents

Laser plumbing method and system taking vertical deviation correction into account Download PDF

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CN105973213A
CN105973213A CN201610580350.9A CN201610580350A CN105973213A CN 105973213 A CN105973213 A CN 105973213A CN 201610580350 A CN201610580350 A CN 201610580350A CN 105973213 A CN105973213 A CN 105973213A
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coordinate
laser
coordinate system
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CN105973213B (en
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章迪
郭际明
梅文胜
巢佰崇
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Wuhan University WHU
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01CMEASURING DISTANCES, LEVELS OR BEARINGS; SURVEYING; NAVIGATION; GYROSCOPIC INSTRUMENTS; PHOTOGRAMMETRY OR VIDEOGRAMMETRY
    • G01C15/00Surveying instruments or accessories not provided for in groups G01C1/00 - G01C13/00
    • G01C15/002Active optical surveying means

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Abstract

The invention provides a laser plumbing method and system taking vertical deviation correction into account. The laser plumbing method comprises the following steps: after laser plumbing is completed, testing a ground coordinate of a laser spot center on a laser target in an earth-centered fixed coordinate system by using a GNSS method; acquiring corresponding vertical deviation according to the longitude and latitude of the laser spot center; calculating the altitude difference of the laser spot center on the laser target to a test point; calculating a coordinate modification amount in the earth-centered fixed coordinate system; calculating the coordinate modification amount of the laser spot center in an engineering coordinate system; finally acquiring accurate laser plumbing result. As the influence of vertical deviation is taken into full account, coordinate transmission error in conventional laser plumbing process can be effectively eliminated. The laser plumbing method is high in precision, good in reliability, easy to implement, relatively good in engineering practicability, great in engineering significance for construction of high-rise buildings, and great in market value.

Description

A kind of laser plumbing method and system taking correction for deflection of vertical into account
Technical field
The invention belongs to engineering survey field, particularly relate to a kind of laser plumbing method taking correction for deflection of vertical into account and be System.
Background technology
Laser plumbing is the one utilizing laser plummet apparatus to be transmitted up or down along plumb line by the plane coordinates of measuring point Measuring method, is generally used in skyscraper, underground construction are measured, and plays an important role.Its principle is by laser Plumb aligner after centering leveling, utilizes laser plummet apparatus to produce a branch of vertical laser, by directly over it or just on measuring point Laying laser target at the specific elevation in lower section, an available LASER SPECKLE, this LASER SPECKLE is as starting at specific elevation Foundation.But in the process, the plane coordinates at LASER SPECKLE center is directly equivalent at laser plummet apparatus survey by prior art The plane coordinates of point (rise and throw measuring point), have ignored the impact of the deviation of plumb line, and coordinate transmission will be caused to produce systematic bias.This kind Deviation can increase along with the increase vertically transmitting distance (highly), when exceeding certain height, can cause the most permissible Error.
Summary of the invention
In order to solve the problems referred to above, the present invention proposes a kind of laser plumbing technical scheme taking correction for deflection of vertical into account, Accurately to obtain the coordinate at LASER SPECKLE center on laser target.
The technical solution adopted in the present invention provides a kind of laser plumbing method taking correction for deflection of vertical into account, including following Step,
Step 1, after laser plumbing completes, utilizes GNSS method to measure on laser target LASER SPECKLE center P in the earth's core Geodetic coordinates under body-fixed coordinate system, including longitude L, latitude B and geodetic height H;
Step 2, utilizes the longitude and latitude of LASER SPECKLE center P, obtains corresponding deviation of plumb line μ, at meridian circle and prime vertical On component be expressed as ξ, η;
Step 3, is calculated as follows the discrepancy in elevation Δ H of LASER SPECKLE center P to measuring point P0 on laser target,
Δ H=HP-HP0
Wherein, HP0、HPRepresent measuring point P0 and the geodetic height of LASER SPECKLE center P respectively;
Step 4, the coordinate correction amount being calculated as follows under ECEF coordinate system:
Δ x 0 Δy 0 = ξ η · Δ H ρ
Wherein, Δ x0、Δy0Represent respectively the North and South direction under plane right-angle coordinate corresponding to ECEF coordinate system, The coordinate corrective value of east-west direction, ρ=206265;
Step 5, if Δ x, Δ y represent the coordinate correction amount of the North and South direction under engineering coordinate system, east-west direction respectively,
The coordinate correction amount being calculated as follows under engineering coordinate system:
Δ x Δ y = ( 1 + k ) c o s θ s i n θ - s i n θ c o s θ Δ x 0 Δy 0
Wherein, k, θ represent what plane right-angle coordinate corresponding to ECEF coordinate system was changed to engineering coordinate system respectively Scale factor and the anglec of rotation, Δ x0、Δy0Represent the North and South direction under engineering coordinate system, the coordinate corrective value of east-west direction respectively;
Step 6, is calculated as follows LASER SPECKLE center P accurate coordinate under engineering coordinate system, obtains final laser Cultellation measurement result,
x P y P = x P 0 y P 0 + Δ x Δ y
Wherein, xP、yPRepresent the LASER SPECKLE center P northern coordinate under engineering coordinate system, east coordinate respectively;xP0、yP0Point Biao Shi the measuring point P0 northern coordinate under engineering coordinate system, east coordinate.
And, in step 1, the precision of the geodetic coordinates that GNSS method measures is better than 1m.
And, in step 2, when obtaining the deviation of plumb line, it is to utilize astronomy and the earth joint observation method to carry out deviation of plumb line survey Fixed, or utilize GNSS and the measurement of the level to combine to carry out deviation of plumb line mensuration, or utilize the gravity field model of the whole world or local to carry out Calculate and obtain.
And, in step 4, plane right-angle coordinate corresponding to described ECEF coordinate system refers to that Gaussian plane right angle is sat Mark system, its central meridian is the warp by a P.
The present invention provides a kind of laser plumbing system taking correction for deflection of vertical into account, comprises the following steps,
First module, for after laser plumbing completes, utilizes GNSS method to measure LASER SPECKLE center P on laser target Geodetic coordinates under ECEF coordinate system, including longitude L, latitude B and geodetic height H;
Second unit, for utilizing the longitude and latitude of LASER SPECKLE center P, obtains corresponding deviation of plumb line μ, at meridian circle and Component on prime vertical is expressed as ξ, η;
Unit the 3rd, for being calculated as follows the discrepancy in elevation Δ H of LASER SPECKLE center P to measuring point P0 on laser target,
Δ H=HP-HP0
Wherein, HP0、HPRepresent measuring point P0 and the geodetic height of LASER SPECKLE center P respectively;
Unit the 4th, the coordinate correction amount for being calculated as follows under ECEF coordinate system:
Δ x 0 Δy 0 = ξ η · Δ H ρ
Wherein, Δ x0、Δy0Represent respectively the North and South direction under plane right-angle coordinate corresponding to ECEF coordinate system, The coordinate corrective value of east-west direction, ρ=206265;
Unit the 5th, for setting Δ x, Δ y represents the North and South direction under engineering coordinate system respectively, the coordinate of east-west direction changes Positive quantity,
The coordinate correction amount being calculated as follows under engineering coordinate system:
Δ x Δ y = ( 1 + k ) c o s θ sin θ - s i n θ cos θ Δ x 0 Δy 0
Wherein, k, θ represent what plane right-angle coordinate corresponding to ECEF coordinate system was changed to engineering coordinate system respectively Scale factor and the anglec of rotation, Δ x0、Δy0Represent the North and South direction under engineering coordinate system, the coordinate corrective value of east-west direction respectively;
Unit the 6th, for being calculated as follows LASER SPECKLE center P accurate coordinate under engineering coordinate system, obtains final Laser plumbing measurement result,
x P y P = x P 0 y P 0 + Δ x Δ y
Wherein, xP、yPRepresent the LASER SPECKLE center P northern coordinate under engineering coordinate system, east coordinate respectively;xP0、yP0Point Biao Shi the measuring point P0 northern coordinate under engineering coordinate system, east coordinate.
And, in first module, the precision of the geodetic coordinates that GNSS method measures is better than 1m.
And, in second unit, when obtaining the deviation of plumb line, it is to utilize astronomy and the earth joint observation method to carry out the deviation of plumb line Measure, or utilize GNSS and the measurement of the level to combine to carry out deviation of plumb line mensuration, or utilize the gravity field model of the whole world or local to enter Row calculates and obtains.
And, in Unit the 4th, plane right-angle coordinate corresponding to described ECEF coordinate system refers to that Gaussian plane is straight Angle coordinate system, its central meridian is the warp by a P.
The present invention, by taking into full account the impact of the deviation of plumb line, effectively eliminates the seat in existing laser plumbing technological process Mark transmission error.Precision of the present invention is high, highly reliable, easy to implement, has stronger engineering practicability, executes for skyscraper Instrument has the engineering significance being even more important, and has great market value.
Accompanying drawing explanation
Fig. 1 is the schematic diagram of embodiment of the present invention laser plumbing.
Fig. 2 is the schematic diagram of the embodiment of the present invention.
Detailed description of the invention
Understand and implement the present invention for the ease of those of ordinary skill in the art, below in conjunction with the accompanying drawings and embodiment is to this Bright it is described in further detail, it will be appreciated that enforcement example described herein is merely to illustrate and explains the present invention, not For limiting the present invention.
Asking for an interview Fig. 1, the present embodiment is a skyscraper, if the plane coordinates that its ground measuring point P0 is under engineering coordinate system is (xP0=2011.315, yP0=1989.711), a height of H of its earthP0=21.521m.Engineering coordinate system, it is possible to be referred to as seat of constructing Mark system, is a kind of coordinate system.P0 sets up laser plummet apparatus, and lays one in the surface of current construction layer, P0 point Individual laser target, by prior art, can obtain LASER SPECKLE P1 on laser target, with the diameter marking pen less than 0.5mm Target identifies the position of P1;Further by laser plummet apparatus half-twist, 180 °, 270 °, obtain different LASER SPECKLEs Position P2, P3, P4, and on target, make mark.At P1-P3 catch cropping straight line, another straight line of P2-P4 catch cropping, by two straight lines Intersection point as P.For trying to achieve the accurate coordinate of P, carry out as follows:
Step 1, after laser plumbing completes, utilizes GNSS method to measure on laser target LASER SPECKLE center P in the earth's core Geodetic coordinates L, B, H under body-fixed coordinate system;
GNSS is GLONASS.Described GNSS method, including use GPS/GLONASS/BDS/GALILEO or The satellite system of any other single or two or more combination, with the One-Point Location that processes in real time or afterwards, relative localization Mode positions;Described ECEF coordinate system includes WGS84, ITRS, CGCS2000 etc., GNSS ephemeris used when positioning Together decide on starting at coordinate system belonging to coordinate;Described geodetic coordinates, including longitude L, latitude B and geodetic height H.
As preferably, the measurement accuracy of its geodetic coordinates should be better than 1m, in order to obtains sufficiently accurate deviation of plumb line meter Calculation value, this is to be very easy to realize, and the dynamic RTK location as common can reach cm class precision in a few minutes.
In embodiment, at a P, set up a GNSS receiver with spider, leave the height of a P bottom receiver about For 1.5m, after centering leveling, utilize GNSS network RTK (carrier phase difference) method, (run reference continuously by connecting CORS Stand), it is thus achieved that fixed solution, try to achieve P longitude and latitude under WGS84 coordinate system for (L=114 ° 20 ' 10.025 " W, B=30 ° 29 ' 19.832 " S), geodetic height H=201.188m, its precision is about ± 2cm, is far superior to the required precision of 1m.
Step 2, utilizes the longitude and latitude of LASER SPECKLE center P, obtains the deviation of plumb line μ at this, and it is at meridian circle and fourth of the twelve Earthly Branches tenth of the twelve Earthly Branches Component on circle is expressed as ξ, η.
As preferably, the acquisition methods of the described deviation of plumb line, refer to utilize astronomical and the earth joint observation method to hang down Line deviation measuring, the precision of this kind of method can reach 0.3 ".
As preferably, the acquisition methods of the described deviation of plumb line, refer to utilize GNSS and measurement of the level simultaneous determination vertical line Deviation, the advantage of this kind of method is to can reach 1 in physical features flat country precision ".
As preferably, the acquisition methods of the described deviation of plumb line, refer to utilize the whole world or local gravity field model (as EGM2008) it is calculated, has an advantage in that without carrying out field operation measurement.
In embodiment, at a P, utilize astronomical geodesy method, by observation fixed star, record the astronomical longitude and latitude of a P Degree is (λ=114 ° 20 ' 00.857 " W, Φ=30 ° 29 ' 20.958 " S), (the most only thus tries to achieve the deviation of plumb line component at this Need to be accurate to 0.1 ") is ξ=Φ-B=1.1 ", η=(λ-L) cosB=-7.9 ", unit is the second.
Step 3, is calculated as follows the discrepancy in elevation Δ H of LASER SPECKLE center P to measuring point P0 on laser target:
Δ H=HP-HP0
Wherein, HP0、HPRepresent measuring point P0 and the geodetic height of LASER SPECKLE center P respectively.
In embodiment, the discrepancy in elevation of LASER SPECKLE center P to measuring point P0 on calculating laser target:
Δ H=HP-HP0=201.188-21.521=179.667m
Step 4, the coordinate correction amount being calculated as follows under ECEF coordinate system:
Δ x 0 Δy 0 = ξ η · Δ H ρ
Wherein, Δ x0、Δy0Represent respectively the North and South direction under plane right-angle coordinate corresponding to ECEF coordinate system, The coordinate corrective value of east-west direction, parameter ρ=206265 (radian is scaled the second), remaining symbolic significance is the same.
As preferably, plane right-angle coordinate corresponding to described ECEF coordinate system refers to Gaussian parabolic line System, its central meridian is the warp by a P, and this is the projection pattern that China is legal.When being embodied as, it is possible to use other Gaussian parabolic line system, or even remaining projection pattern arbitrarily.
In embodiment, calculate under WGS84 benchmark, central meridian is L=114 ° 20 ' 10.025 " Gaussian plane straight Coordinate corrective value (the present embodiment unit is mm) under angle coordinate system:
Δ x 0 Δy 0 = ξ η · Δ H ρ = 1.1 - 7.9 × 179.667 206265 = 1.0 - 6.9
Step 5, if Δ x, Δ y represent the coordinate correction amount of the North and South direction under engineering coordinate system, east-west direction respectively,
The coordinate correction amount being calculated as follows under engineering coordinate system:
Δ x Δ y = ( 1 + k ) c o s θ s i n θ - sin θ c o s θ Δ x 0 Δy 0
Wherein, k, θ represent what plane right-angle coordinate corresponding to ECEF coordinate system was changed to engineering coordinate system respectively Scale factor and the anglec of rotation, Δ x0、Δy0Represent the North and South direction under engineering coordinate system, the coordinate corrective value of east-west direction respectively, Remaining symbolic significance is the same.
Corresponding to engineering coordinate system and ECEF coordinate system between plane right-angle coordinate, (comprised: two by four parameters Translational movement, scale factor, an anglec of rotation) define the two transformational relation, and the transformational relation of its coordinate corrective value Can be tried to achieve by the scale factor in described four parameters and the anglec of rotation.If not performing this step directly by ECEF coordinate system Correction under corresponding plane right-angle coordinate puts on engineering coordinate, it will produce certain error.
In embodiment, if trying to achieve what aforementioned Gaussian parabolic line system changed to engineering coordinate system by prior art Scale factor k=0.0000012, rotation angle θ=30 ° 05 ', then the coordinate correction amount can tried to achieve under engineering coordinate system is (this reality Executing example unit is mm):
Δ x Δ y = ( 1 + k ) c o s θ s i n θ - s i n θ c o s θ Δ x 0 Δy 0 = - 2.6 - 6.5
Step 6, is calculated as follows LASER SPECKLE center P accurate coordinate under engineering coordinate system, obtains final laser Cultellation measurement result:
x P y P = x P 0 y P 0 + Δ x Δ y
Wherein, xP、yPRepresent the LASER SPECKLE center P northern coordinate under engineering coordinate system, east coordinate respectively;xP0、yP0Point Biao Shi the measuring point P0 northern coordinate under engineering coordinate system, east coordinate;Remaining symbolic significance is the same.
In embodiment, it is calculated as follows LASER SPECKLE center P accurate coordinate under engineering coordinate system:
x P y P = x P 0 y P 0 + Δ x Δ y = 2011.315 1989.711 + - 0.0026 - 0.0065 = 2011.312 1989.705
When being embodied as, those skilled in the art can use computer software technology to realize automatically and run above flow process, also Modular mode can be used to realize corresponding system.The embodiment of the present invention provides a kind of laser plumbing system taking correction for deflection of vertical into account System, comprises the following steps,
First module, for after laser plumbing completes, utilizes GNSS method to measure LASER SPECKLE center P on laser target Geodetic coordinates under ECEF coordinate system, including longitude L, latitude B and geodetic height H;
Second unit, for utilizing the longitude and latitude of LASER SPECKLE center P, obtains corresponding deviation of plumb line μ, at meridian circle and Component on prime vertical is expressed as ξ, η;
Unit the 3rd, for being calculated as follows the discrepancy in elevation Δ H of LASER SPECKLE center P to measuring point P0 on laser target,
Δ H=HP-HP0
Wherein, HP0、HPRepresent measuring point P0 and the geodetic height of LASER SPECKLE center P respectively;
Unit the 4th, the coordinate correction amount for being calculated as follows under ECEF coordinate system:
Δ x 0 Δy 0 = ξ η · Δ H ρ
Wherein, Δ x0、Δy0Represent respectively the North and South direction under plane right-angle coordinate corresponding to ECEF coordinate system, The coordinate corrective value of east-west direction, ρ=206265;
Unit the 5th, for setting Δ x, Δ y represents the North and South direction under engineering coordinate system respectively, the coordinate of east-west direction changes Positive quantity,
The coordinate correction amount being calculated as follows under engineering coordinate system:
Δ x Δ y = ( 1 + k ) c o s θ sin θ - s i n θ c o s θ Δ x 0 Δy 0
Wherein, k, θ represent what plane right-angle coordinate corresponding to ECEF coordinate system was changed to engineering coordinate system respectively Scale factor and the anglec of rotation, Δ x0、Δy0Represent the North and South direction under engineering coordinate system, the coordinate corrective value of east-west direction respectively;
Unit the 6th, for being calculated as follows LASER SPECKLE center P accurate coordinate under engineering coordinate system, obtains final Laser plumbing measurement result,
x P y P = x P 0 y P 0 + Δ x Δ y
Wherein, xP、yPRepresent the LASER SPECKLE center P northern coordinate under engineering coordinate system, east coordinate respectively;xP0、yP0Point Biao Shi the measuring point P0 northern coordinate under engineering coordinate system, east coordinate.
Each module implements and can be found in corresponding steps, and it will not go into details for the present invention.
It should be appreciated that the part that this specification does not elaborates belongs to prior art.
It should be appreciated that the above-mentioned description for preferred embodiment is more detailed, can not therefore be considered this The restriction of invention patent protection scope, those of ordinary skill in the art, under the enlightenment of the present invention, is weighing without departing from the present invention Profit requires under the ambit protected, it is also possible to make replacement or deformation, within each falling within protection scope of the present invention, this The bright scope that is claimed should be as the criterion with claims.

Claims (8)

1. the laser plumbing method taking correction for deflection of vertical into account, it is characterised in that: comprise the following steps,
Step 1, after laser plumbing completes, utilizes GNSS method to measure LASER SPECKLE center P on laser target solid in ground heart Geodetic coordinates under coordinate system, including longitude L, latitude B and geodetic height H;
Step 2, utilizes the longitude and latitude of LASER SPECKLE center P, obtains corresponding deviation of plumb line μ, on meridian circle and prime vertical Component is expressed as ξ, η;Step 3, is calculated as follows the discrepancy in elevation Δ H of LASER SPECKLE center P to measuring point P0 on laser target,
Δ H=HP-HP0
Wherein, HP0、HPRepresent measuring point P0 and the geodetic height of LASER SPECKLE center P respectively;
Step 4, the coordinate correction amount being calculated as follows under ECEF coordinate system:
Δ x 0 Δy 0 = ξ η · Δ H ρ
Wherein, Δ x0、Δy0Represent the North and South direction under plane right-angle coordinate corresponding to ECEF coordinate system, thing respectively The coordinate corrective value in direction, ρ=206265;
Step 5, if Δ x, Δ y represent the coordinate correction amount of the North and South direction under engineering coordinate system, east-west direction respectively,
The coordinate correction amount being calculated as follows under engineering coordinate system:
Δ x Δ y = ( 1 + k ) c o s θ s i n θ - s i n θ c o s θ Δ x 0 Δy 0
Wherein, k, θ represent the ratio that plane right-angle coordinate corresponding to ECEF coordinate system is changed to engineering coordinate system respectively The factor and the anglec of rotation, Δ x0、Δy0Represent the North and South direction under engineering coordinate system, the coordinate corrective value of east-west direction respectively;
Step 6, is calculated as follows LASER SPECKLE center P accurate coordinate under engineering coordinate system, obtains final laser plumbing Measurement result,
x P y P = x P 0 y P 0 + Δ x Δ y
Wherein, xP、yPRepresent the LASER SPECKLE center P northern coordinate under engineering coordinate system, east coordinate respectively;xP0、yP0Table respectively Show the measuring point P0 northern coordinate under engineering coordinate system, east coordinate.
Take the laser plumbing method of correction for deflection of vertical the most according to claim 1 into account, it is characterised in that: in step 1, GNSS The precision of the geodetic coordinates that method measures is better than 1m.
Take the laser plumbing method of correction for deflection of vertical the most according to claim 1 into account, it is characterised in that: in step 2, obtain During the deviation of plumb line, it is to utilize astronomy and the earth joint observation method to carry out deviation of plumb line mensuration, or utilizes GNSS and measurement of the level connection Conjunction carries out deviation of plumb line mensuration, or utilizes the gravity field model of the whole world or local to carry out calculating acquisition.
4. according to claim 1 or 2 or 3, take the laser plumbing method of correction for deflection of vertical into account, it is characterised in that: step 4 In, plane right-angle coordinate corresponding to described ECEF coordinate system refers to Gaussian parabolic line system, its central meridian For the warp by a P.
5. the laser plumbing system taking correction for deflection of vertical into account, it is characterised in that: comprise the following steps,
First module, for after laser plumbing completes, utilizes GNSS method to measure on laser target LASER SPECKLE center P on ground Geodetic coordinates under heart body-fixed coordinate system, including longitude L, latitude B and geodetic height H;
Second unit, for utilizing the longitude and latitude of LASER SPECKLE center P, obtains corresponding deviation of plumb line μ, at meridian circle and fourth of the twelve Earthly Branches tenth of the twelve Earthly Branches Component on circle is expressed as ξ, η;
Unit the 3rd, for being calculated as follows the discrepancy in elevation Δ H of LASER SPECKLE center P to measuring point P0 on laser target,
Δ H=HP-HP0
Wherein, HP0、HPRepresent measuring point P0 and the geodetic height of LASER SPECKLE center P respectively;
Unit the 4th, the coordinate correction amount for being calculated as follows under ECEF coordinate system:
Δ x 0 Δy 0 = ξ η · Δ H ρ
Wherein, Δ x0、Δy0Represent the North and South direction under plane right-angle coordinate corresponding to ECEF coordinate system, thing respectively The coordinate corrective value in direction, ρ=206265;
Unit the 5th, for setting Δ x, Δ y represent the coordinate correction of the North and South direction under engineering coordinate system, east-west direction respectively Amount,
The coordinate correction amount being calculated as follows under engineering coordinate system:
Δ x Δ y = ( 1 + k ) c o s θ s i n θ - s i n θ c o s θ Δ x 0 Δy 0
Wherein, k, θ represent the ratio that plane right-angle coordinate corresponding to ECEF coordinate system is changed to engineering coordinate system respectively The factor and the anglec of rotation, Δ x0、Δy0Represent the North and South direction under engineering coordinate system, the coordinate corrective value of east-west direction respectively;
Unit the 6th, for being calculated as follows LASER SPECKLE center P accurate coordinate under engineering coordinate system, obtains final swashing Light cultellation measurement result,
x P y P = x P 0 y P 0 + Δ x Δ y
Wherein, xP、yPRepresent the LASER SPECKLE center P northern coordinate under engineering coordinate system, east coordinate respectively;xP0、yP0Table respectively Show the measuring point P0 northern coordinate under engineering coordinate system, east coordinate.
Take the laser plumbing system of correction for deflection of vertical the most according to claim 5 into account, it is characterised in that: in first module, The precision of the geodetic coordinates that GNSS method measures is better than 1m.
Take the laser plumbing system of correction for deflection of vertical the most according to claim 5 into account, it is characterised in that: in second unit, When obtaining the deviation of plumb line, it is to utilize astronomy and the earth joint observation method to carry out deviation of plumb line mensuration, or utilizes GNSS and level to survey Measure to combine and carry out deviation of plumb line mensuration, or utilize the gravity field model of the whole world or local to carry out calculating acquisition.
8. according to claim 5 or 6 or 7, take the laser plumbing system of correction for deflection of vertical into account, it is characterised in that: the 4th is single In unit, plane right-angle coordinate corresponding to described ECEF coordinate system refers to Gaussian parabolic line system, its central authorities' meridian Line is the warp by a P.
CN201610580350.9A 2016-07-21 2016-07-21 A kind of laser plumbing method and system for taking correction for deflection of vertical into account Expired - Fee Related CN105973213B (en)

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CN107677242A (en) * 2017-09-30 2018-02-09 山东科技大学 A kind of deviation of plumb line measurement apparatus and method
CN108317993A (en) * 2018-01-10 2018-07-24 山东科技大学 A kind of deviation of plumb line measuring device and method of integrated GNSS and laser tracker
CN111578968A (en) * 2020-06-17 2020-08-25 中国人民解放军63660部队 Novel plumb line deviation correction method

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