CN105652303A - Rapid contact-free positioning method for mountainous area field sampling based on mobile electronic equipment such as Pad - Google Patents

Rapid contact-free positioning method for mountainous area field sampling based on mobile electronic equipment such as Pad Download PDF

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CN105652303A
CN105652303A CN201610000586.0A CN201610000586A CN105652303A CN 105652303 A CN105652303 A CN 105652303A CN 201610000586 A CN201610000586 A CN 201610000586A CN 105652303 A CN105652303 A CN 105652303A
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point
represent
space coordinates
angle
north
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CN105652303B (en
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李爱农
谢瀚
边金虎
雷光斌
南希
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Institute of Mountain Hazards and Environment IMHE of CAS
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01SRADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
    • G01S19/00Satellite radio beacon positioning systems; Determining position, velocity or attitude using signals transmitted by such systems
    • G01S19/38Determining a navigation solution using signals transmitted by a satellite radio beacon positioning system
    • G01S19/39Determining a navigation solution using signals transmitted by a satellite radio beacon positioning system the satellite radio beacon positioning system transmitting time-stamped messages, e.g. GPS [Global Positioning System], GLONASS [Global Orbiting Navigation Satellite System] or GALILEO
    • G01S19/42Determining position
    • G01S19/45Determining position by combining measurements of signals from the satellite radio beacon positioning system with a supplementary measurement
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01CMEASURING DISTANCES, LEVELS OR BEARINGS; SURVEYING; NAVIGATION; GYROSCOPIC INSTRUMENTS; PHOTOGRAMMETRY OR VIDEOGRAMMETRY
    • G01C1/00Measuring angles
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01CMEASURING DISTANCES, LEVELS OR BEARINGS; SURVEYING; NAVIGATION; GYROSCOPIC INSTRUMENTS; PHOTOGRAMMETRY OR VIDEOGRAMMETRY
    • G01C11/00Photogrammetry or videogrammetry, e.g. stereogrammetry; Photographic surveying
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01CMEASURING DISTANCES, LEVELS OR BEARINGS; SURVEYING; NAVIGATION; GYROSCOPIC INSTRUMENTS; PHOTOGRAMMETRY OR VIDEOGRAMMETRY
    • G01C3/00Measuring distances in line of sight; Optical rangefinders
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01SRADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
    • G01S19/00Satellite radio beacon positioning systems; Determining position, velocity or attitude using signals transmitted by such systems
    • G01S19/38Determining a navigation solution using signals transmitted by a satellite radio beacon positioning system
    • G01S19/39Determining a navigation solution using signals transmitted by a satellite radio beacon positioning system the satellite radio beacon positioning system transmitting time-stamped messages, e.g. GPS [Global Positioning System], GLONASS [Global Orbiting Navigation Satellite System] or GALILEO
    • G01S19/42Determining position
    • G01S19/45Determining position by combining measurements of signals from the satellite radio beacon positioning system with a supplementary measurement
    • G01S19/47Determining position by combining measurements of signals from the satellite radio beacon positioning system with a supplementary measurement the supplementary measurement being an inertial measurement, e.g. tightly coupled inertial

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  • Engineering & Computer Science (AREA)
  • Radar, Positioning & Navigation (AREA)
  • Remote Sensing (AREA)
  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Electromagnetism (AREA)
  • Multimedia (AREA)
  • Position Fixing By Use Of Radio Waves (AREA)
  • Navigation (AREA)

Abstract

The invention relates to a rapid contact-free positioning method for mountainous area field sampling based on mobile electronic equipment such as Pad. The rapid contact-free positioning method provided by the invention comprises the step of carrying out positioning measurement on a target difficult to contact on site in adopting an intersection fixed-point mode or distance azimuth fixed-point mode by integrated mobile electronic equipment GPS, an electronic compass, a gyroscope and a laser range finder. The rapid contact-free positioning method provided by the invention can be used for solving the problem that space coordinates of a distant target object to be sampled which can not be contacted can not be measured during mountainous area field sampling.

Description

A kind of mountain area field sampling based on mobile electronic devices such as Pad does not quickly contact localization method
Technical field
The present invention relates to a kind of mountain area field sampling based on mobile electronic device and quickly do not contact localization method, it is specifically related to a kind of method in mountain area field sampling process to the Target scalar location being limited with mountain region disaster by distance, landform and can not contacting, belongs to the surveying positioning field of the remote atural object of earth surface.
Background technology
Field grab sampling is the prerequisite of geographical national conditions investigation, windy and sandy soil field investigation and mountain region disaster fixed point investigation etc. Mountain area field investigation is generally big because of hypsography, and physical features is complicated and changeable and is difficult to sample. The collection of conventional ground cover sampling point data is mainly with GPS fixed point, paper record basis for medium, this method of sampling is because of the normal record respectively of the spatial positional information of sampling point, surface cover attribute information and image information, its inefficiency, complicated operation, error-prone. Along with the development of electronic product is with constantly universal, develop rapidly with the portable ground cover sample mode that electronic equipment is medium. Mobile field investigation method, with portable mobile apparatus such as mobile phone, flat board, PDA for carrier, investigates the surface cover situation of route by field sampling system collection, integration can collect the spatial information of sampling point, attribute information and image information. The method can be effectively improved field sampling efficiency, abundant field sampling quantity of information, therefore, lot of domestic and foreign enterprises utilizes mobile GPS, GIS and RS technical research and is proposed the mobile sampling product of oneself, and the TerraSync of ArcPad, Trimble company and the eSuperMap of hypergraph company and half a step such as ESRI company walk the mobile products such as scientific and technological UCMAP. But, the above method of sampling and mobile product are subject to the impact of the stop of the restriction of distance, river and high mountain, cause sample collector cannot contact with Target scalar and the space coordinates of Target scalar can not be obtained exactly, generally require and use GIS software amendment field sampling information in conjunction with relevant professional knowledge, add interior industry workload. In mountain area field investigation process, if desired quickly and accurately obtain the field sampling information of high position precision, need the measurement technology of integrated multiple advanced person, the method that research does not contact location.
Mobile GPS technology, precise electronic compass and gyroscope, laser ranging technique, the space coordinates obtaining it for not contact target atural object provides technical support. Wherein mobile GPS provides the space coordinates obtaining current location, precise electronic compass and gyroscope can obtain current location and place, Target scalar position to be sampled rectilinear direction relative to the north to azimuth, laser ranging technique can obtain current location to the distance between Target scalar to be sampled when not contact target atural object. ?he application of ? Pian Pin Nai PS technology, precise electronic compass and gyroscope and laser ranging technique, the present invention is in the mobile electronic device and laser range finder of integrated mobile GPS and precise electronic compass and gyroscope, introduce Cross location and distance two kinds of methods of position fix, it is possible to obtaining mountain area quickly and accurately at a distance can not the spatial coordinated information of contact target. Particularly in mountain area, river and high mountain stop serious, there is area frequently in the disasters such as landslide, avalanche, sample collector can not contact with target to such an extent as to be difficult to the accurate coordinate information not even being likely to obtain target, apply the localization method that do not contact provided by the invention and can quickly and accurately obtain the space coordinates of distant object, can ensure that again the personal safety of staff.
Summary of the invention
It is an object of the invention to solution mountain area field sampling process to be measured the problem of the space coordinates of remote impalpable Target scalar to be sampled and provide a kind of and do not contact localization method based on mobile electronic device.
The present invention provides a kind of and does not contact localization method based on mobile electronic device, including
Mobile electronic device includes GPS, shooting, precise electronic compass and gyroscope function, comprises the steps:
Step 1, carries out sampling configuration switching, selects to adopt Cross location pattern or distance position fix pattern;
Step 2, as selected to adopt Cross location pattern, then uses the measurement of Cross location method;
Step 3, as selected to adopt distance position fix pattern, then uses distance position fix method measurement.
The flow process of described step 2 is as follows:
Step 2.1, sets three summits A, B, C of known triangle, the position that wherein A, B are staff and can arrive at 2, and C point is the position of point to be located;
Step 2.2, applying GPS measures the space coordinates of A, B 2;
Step 2.3, applying electronic compass and gyroscope measure AC direction relative to the north to water horizontal angle a and AC direction and horizontal plane angle �� 1, BC direction relative to the north to horizontal angle r and the angle �� 2 of BC direction and horizontal plane;
Step 2.4, the coordinate relative to the angle calcu-lation C in the north according to the coordinate of some A, B and AC and BC direction, C point coordinates calculates by following formula:
Y C = X B - X A - t a n r × Y B + tan a × Y A t a n r - tan a
X C = X A × tan a - X B × t a n r - t a n r × tan a × ( Y A - Y B ) t a n r - tan a
Z C = Z A + tanβ 1 × ( Y A - Y B ) + ( X A - X B )
In formula, A, B represent intersection measurement centre-exchange-meeting point position, and C represents the target of fixed point; ��, r, �� 1 represent respectively AC direction relative to the north to azimuth and BC direction relative to the north to azimuth and the angle of AC direction and horizontal plane; XB��YB��ZBRepresent the space coordinates of point to be located C respectively; XA��YA��ZARepresent the space coordinates of point to be located A, X respectivelyC��YCRepresent the space coordinates of point to be located B respectively
Preferably, the flow process of described step 3 is as follows:
Step 3.1, sets A, C 2 point, and wherein A point is staff's accessible position, and C point is the position of point to be located;
Step 3.2, applying GPS obtains the space coordinates of A point;
Step 3.3, applying electronic compass and gyroscope measure AC direction relative to the north to horizontal angle a and AC direction relative to the vertical angle r of level ground;
Step 3.4, application laser range finder measures the horizontal range S between A, C at 2, calculates C space of points coordinate, and C space of points coordinate calculates by following formula:
X C = X A + S × sin a Y C = X A + S × cos a Z C = Z A + S × tan r
In formula, wherein A, C represent sample collector, point to be located target position respectively; A represents the azimuth relative to direct north, the AC direction; R represents AC direction and horizontal plane angle; S represents the horizontal range between some A to some C;XC��YC��ZCRepresent the space coordinates of point to be located C respectively; XA��YA��ZARepresent the space coordinates of point to be located A respectively.
Preferably, described location towards Target scalar type include: mountain area topographical surface feature or be difficult to the topographical surface feature contacted on the spot by effect of natural conditions.
Compared with prior art, provided by the present invention a kind of not contacting the localization method present invention by integrated mobile GPS, electronic compass and gyroscope and laser range finder based on mobile electronic device, can efficiently, accurately and automatically gather mountain area sample collector in conjunction with computer interactive operation technology can not the space coordinates of contact target atural object. The present invention have high efficiency, in high precision, the advantage of automatization's field grab sampling, especially magnanimity field data sampling mountain area limited by orographic condition, mountain region disaster has great importance, solve general field sampling product as: mobile products such as ArcPad, UCMAP can not quick obtaining at a distance can not the difficult problem of space coordinates of contact target atural object.
Accompanying drawing explanation
Fig. 1 is the exemplary plot of the impalpable distant object of field sampling;
Fig. 2 is the geometrical principle schematic diagram of Cross location method;
Fig. 3 is the geometrical principle schematic diagram of distance position fix method;
Fig. 4 is based on mountain area and does not contact a set of field sampling system showing interface figure of localization method design;
Fig. 5 is the interface schematic diagram that Cross location method is positioned in field sampling system
Fig. 6 is the interface schematic diagram in distance position fix method sampling system in the wild
Detailed description of the invention
The present invention do not contact localization method towards Target scalar type: a, mountain area topographical surface feature: the atural object of earth crust, such as trees, farmland, road and building etc.; B, targetedly atural object: by the stop of the orographic factor such as river and high mountain, distance samples personnel farther out, the condition that takes place frequently of the disaster such as avalanche and landslide limited, staff is difficult to the topographical surface feature that even can not contact, as: forest on high mountain, the farmland on opposite bank, river and the disaster such as avalanche, landslide point.
The localization method that do not contact of the present invention includes: Cross location method and distance position fix method, utilize integrated GPS technology, camera technique, precise electronic compass integrated with gyroscope technology arrive not contact target atural object to obtain its coordinate information.
As shown in Figure 2, wherein Cross location method, according to surveying centre-exchange-meeting measuring principle, applying GPS technology and electronic compass directional technology measure the space coordinates of Target scalar: three summit A of known triangle, B, C, wherein A, B 2 is the position (road) that staff can arrive, C point is the position of point to be located, applying GPS measures A, the space coordinates that B is 2, electronic compass and gyroscope measure AC direction relative to the north to horizontal angle a and the angle �� 1 of AC direction and horizontal plane, BC direction relative to the north to horizontal angle r and the angle �� 2 of BC direction and horizontal plane, according to an A, the coordinate of B and AC and the BC direction coordinate relative to the angle calcu-lation C in the north.
Cross location method is measured C point coordinates and is calculated by following formula:
Y C = X B - X A - t a n r × Y B + tan a × Y A t a n r - tan a
X C = X A × tan a - X B × t a n r - t a n r × tan a × ( Y A - Y B ) t a n r - tan a - - - ( I )
Z C = Z A + tanβ 1 × ( Y A - Y B ) + ( X A - X B )
In formula, A, B represent intersection measurement centre-exchange-meeting point position, and C represents the target of fixed point; ��, r, �� 1 represent respectively AC direction relative to the north to azimuth and BC direction relative to the north to azimuth and the angle of AC direction and horizontal plane; XC��YC��ZCRepresent the space coordinates of point to be located C respectively; XA��YA��ZARepresent the space coordinates of the X-direction of point to be located A, Y-direction and Z-direction, X respectivelyB��YBRepresent X and the Y-direction space coordinates of point to be located B respectively.
As shown in Figure 3, wherein distance position fix method, according to traverse survey principle in surveying, applying GPS technology, electronic compass directional technology and laser ranging technique: set A, C 2 point, wherein A point is staff's accessible position, C point is the position of point to be located, and applying GPS obtains the space coordinates (X of A pointA, YA, ZA), precise electronic compass and gyroscope measure AC direction relative to the north to horizontal angle a and AC direction relative to the vertical angle r of level ground, laser range finder measures the horizontal range S between A, C at 2, calculates C space of points coordinate.
Distance position fix method is measured C space of points coordinate and is calculated by following formula:
X C = X A + S × sin a Y C = X A + S × cos a Z C = Z A + S × tan r - - - ( I I )
In formula, wherein A, C represent sample collector, point to be located target position respectively; A represents the azimuth relative to direct north, the AC direction; R represents AC direction and horizontal plane angle; S represents the horizontal range between some A to some C; XC��YC��ZCRepresent the space coordinates of point to be located C respectively; XA��YA��ZARepresent the space coordinates of point to be located A respectively.
The precision evaluation not contacting localization method based on mobile electronic device calculates by following formula:
Δ S = dx 2 + dy 2 + dz 2
Δ S ‾ = Σ i = 1 N ΔS 1 + ΔS 2 + ... + ΔS N N - - - ( I I I )
In above formula, dx, dy, dz represent mountain area respectively and do not contact localization method with the high accuracy sub-meter grade GPS same target of measurement at tri-direction error of coordinates of X, Y, Z; �� S represents the range error not contacting localization method with the high accuracy sub-meter grade GPS same target of measurement;Represent the mean longitudinal error not contacting localization method with the high accuracy sub-meter grade GPS same target of measurement, �� SiFor the range error between i & lt the inventive method measurement result and the intensive GPS measurement result of high accuracy, N is pendulous frequency.
As Figure 4-Figure 6, the mobile electronic device operation adopting the present invention is as follows:
(1) sampling configuration switching: click intersection sampling in the map interface lower right corner in field sampling system, automatically switch to intersection sampling configuration; Click the collection button in main menu, be switched to intersection sampling interface, such as Fig. 5;
(2) Cross location: hand-held mobile electronic equipment aims at Target scalar C to be sampled by the crosshair in Cross location sampling interface, click and aim at the space coordinates automatically recording current location A, AC direction relative to the north to azimuth and the angle of AC direction and horizontal plane; Shift position, aims at Target scalar C to be sampled by the crosshair in Cross location sampling interface; Click and aim at the space coordinates automatically recording current location B, BC direction relative to the north to azimuth and the angle of BC direction and horizontal plane, the space coordinates of formula (I) Automatic solution Target scalar C pressed by software;
(3) sampling configuration switching: click distance azimuth sample in the map interface lower right corner in field sampling system, automatically switch to distance azimuth sample pattern; Click the collection button in main menu, be switched to distance azimuth sample interface, such as Fig. 6;
(4) distance position fix: hand-held mobile electronic equipment aims at Target scalar C to be sampled by the crosshair in Cross location sampling interface, click and aim at the space coordinates automatically recording current location A, AC direction relative to the north to azimuth and the angle of AC direction and horizontal plane; Hand-hold Distance Finder run-home atural object C, measures the horizontal range between current location A and Target scalar C, and manual entry range information, the space coordinates of formula (II) Automatic solution Target scalar C pressed by software.
(5) precision evaluation: measure the space coordinates of same Target scalar respectively with the localization method that do not contact of the present invention by high accuracy sub-meter grade GPS.Relatively two kinds of distance difference measured between the space coordinates of apparatus measures Target scalar and the coordinate difference on tri-directions of X, Y, Z, evaluates the precision of the space coordinates not contacting localization method measurement Target scalar of the present invention according to formula (III).
Being tested by field sampling, the sampling precision not contacting localization method is as shown in table 1:
Table 1 precision evaluation result
Note: Tian Bao GPS positioning precision: Centimeter Level; The built-in GPS positioning precision of panel computer: about 15m.
(6) location efficiency is not contacted: the hardware platform of testing for electrical equipment of the present invention can be the Samsung panel computer based on android system, model: GT-N8000, system version: Android4.1.2, baseband version: N8000ZCCMD2, internal memory: 2GB, hard disk: 16GB. Test result: click and measure button, automatic collection at a distance can not the space coordinates of contact target, efficiency is high. The present invention can improve the accuracy of the space coordinates of field sampling Target scalar and the efficiency of field sampling largely, industry workload and cost in reducing, the field grab sampling for mountain area not contact target atural object provides the technology and theory support efficiently and accurately sampled.
In sum, the present invention proposes and a kind of does not contact localization method, method and the core concept thereof being only intended to help to understand the present invention described above based on mobile electronic device; Simultaneously for one of ordinary skill in the art, according to the thought of the present invention, all will change in specific embodiments and applications, in sum, this specification content should not be construed as limitation of the present invention. Therefore, any amendment of making when without departing from the spirit and scope of the present invention, equivalent replacement, improvement etc., should be included within protection scope of the present invention. Additionally, claims of the present invention be intended to fall in the equivalents on scope and border or this scope and border whole change and modifications example.

Claims (4)

1. the mountain area field sampling based on mobile electronic devices such as Pad does not quickly contact localization method, it is characterised in that: mobile electronic device includes GPS, shooting, precise electronic compass and gyroscope function, comprises the steps:
Step 1, carries out sampling configuration switching, selects to adopt Cross location pattern or distance position fix pattern;
Step 2, as selected to adopt Cross location pattern, then uses the measurement of Cross location method;
Step 3, as selected to adopt distance position fix pattern, then uses distance position fix method measurement.
2. the mountain area based on mobile electronic devices such as Pad according to claim 1 does not contact localization method, it is characterised in that: described step 2 farther includes,
Step 2.1, sets three summits A, B, C of known triangle, the position that wherein A, B are staff and can arrive at 2, and C point is the position of point to be located;
Step 2.2, applying GPS measures the space coordinates of A, B 2;
Step 2.3, applying electronic compass and gyroscope measure AC direction relative to the north to water horizontal angle a and AC direction and horizontal plane angle �� 1, BC direction relative to the north to horizontal angle r and the angle �� 2 of BC direction and horizontal plane;
Step 2.4, the coordinate relative to the angle calcu-lation C in the north according to the coordinate of some A, B and AC and BC direction, C point coordinates calculates by following formula:
Y C = X B - X A - t a n r × Y B + tan a × Y A t a n r - tan a
X C = X A × tan a - X B × t a n r - t a n r × tan a × ( Y A - Y B ) t a n r - tan a
Z C = Z A + tanβ 1 × ( Y k - Y B ) + ( X A - X B )
In formula, A, B represent intersection measurement centre-exchange-meeting point position, and C represents the target of fixed point;��, r, �� 1 represent respectively AC direction relative to the north to azimuth and BC direction relative to the north to azimuth and the angle of AC direction and horizontal plane; XB��YB��ZBRepresent the space coordinates of point to be located B respectively; XA��YA��ZARepresent the space coordinates of point to be located A, X respectivelyC��YC��ZCRepresent the space coordinates of point to be located C respectively.
3. according to claim 1 do not contact localization method based on mobile electronic device, it is characterised in that: described step 3 farther includes,
Step 3.1, sets A, C 2 point, and wherein A point is staff's accessible position, and C point is the position of point to be located;
Step 3.2, applying GPS obtains the space coordinates of A point;
Step 3.3, applying electronic compass and gyroscope measure AC direction relative to the north to horizontal angle a and AC direction relative to the vertical angle r of level ground;
Step 3.4, application laser range finder measures the horizontal range S between A, C at 2, calculates C space of points coordinate, and C space of points coordinate calculates by following formula:
X C = X A + S × sin a Y C = Y A + S × c o s a Z C = Z H + S × tan r
In formula, wherein A, C represent sample collector, point to be located target position respectively; A represents the azimuth relative to direct north, the AC direction; R represents AC direction and horizontal plane angle; S represents the horizontal range between some A to some C; XC��YC��ZCRepresent the space coordinates of point to be located C respectively; XA��YA��ZARepresent the space coordinates of point to be located A respectively.
4. the mountain area field sampling based on mobile electronic devices such as Pad according to claim 1 does not quickly contact localization method, it is characterised in that: position towards Target scalar type include: mountain area topographical surface feature or be difficult to the topographical surface feature contacted on the spot by effect of natural conditions.
CN201610000586.0A 2016-01-04 2016-01-04 A kind of mountain area field sampling based on mobile electronic devices such as Pad does not contact localization method quickly Expired - Fee Related CN105652303B (en)

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CN106405603A (en) * 2016-11-14 2017-02-15 南昌大学 Portable efficient long-distance accurate target positioning system and positioning method
CN108401021A (en) * 2018-02-12 2018-08-14 安徽千云度信息技术有限公司 A kind of local area distribution system of the shared bicycle based on big data
CN108932353A (en) * 2017-05-23 2018-12-04 上海宝冶集团有限公司 The localization method between buildings model and entity is realized using mixed reality technology
CN110057350A (en) * 2019-05-20 2019-07-26 贵州师范大学 A kind of Karst region plant population spatial distribution measurement device and method
US20230142513A1 (en) * 2021-11-05 2023-05-11 Getac Technology Corporation Method for measuring coordinate position and portable electronic device using the same

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CN102620710A (en) * 2012-04-18 2012-08-01 赵广超 Method and system for measuring and calculating data
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CN102620710A (en) * 2012-04-18 2012-08-01 赵广超 Method and system for measuring and calculating data
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Publication number Priority date Publication date Assignee Title
CN106405603A (en) * 2016-11-14 2017-02-15 南昌大学 Portable efficient long-distance accurate target positioning system and positioning method
CN108932353A (en) * 2017-05-23 2018-12-04 上海宝冶集团有限公司 The localization method between buildings model and entity is realized using mixed reality technology
CN108932353B (en) * 2017-05-23 2022-03-15 上海宝冶集团有限公司 Method for realizing positioning between building model and entity by applying mixed reality technology
CN108401021A (en) * 2018-02-12 2018-08-14 安徽千云度信息技术有限公司 A kind of local area distribution system of the shared bicycle based on big data
CN110057350A (en) * 2019-05-20 2019-07-26 贵州师范大学 A kind of Karst region plant population spatial distribution measurement device and method
US20230142513A1 (en) * 2021-11-05 2023-05-11 Getac Technology Corporation Method for measuring coordinate position and portable electronic device using the same
US11953614B2 (en) * 2021-11-05 2024-04-09 Getac Technology Corporation Method for measuring coordinate position and portable electronic device using the same

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