Development of 3D Datum Transformation Model Between Wgs 84 and Clarke 1880 for Cross Rivers State, Nigeria
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JHR Final Report Template
TRANSFORMING NAD 27 AND NAD 83 POSITIONS: MAKING LEGACY MAPPING AND SURVEYS GPS COMPATIBLE June 2015 Thomas H. Meyer Robert Baron JHR 15-327 Project 12-01 This research was sponsored by the Joint Highway Research Advisory Council (JHRAC) of the University of Connecticut and the Connecticut Department of Transportation and was performed through the Connecticut Transportation Institute of the University of Connecticut. The contents of this report reflect the views of the authors who are responsible for the facts and accuracy of the data presented herein. The contents do not necessarily reflect the official views or policies of the University of Connecticut or the Connecticut Department of Transportation. This report does not constitute a standard, specification, or regulation. i Technical Report Documentation Page 1. Report No. 2. Government Accession No. 3. Recipient’s Catalog No. JHR 15-327 N/A 4. Title and Subtitle 5. Report Date Transforming NAD 27 And NAD 83 Positions: Making June 2015 Legacy Mapping And Surveys GPS Compatible 6. Performing Organization Code CCTRP 12-01 7. Author(s) 8. Performing Organization Report No. Thomas H. Meyer, Robert Baron JHR 15-327 9. Performing Organization Name and Address 10. Work Unit No. (TRAIS) University of Connecticut N/A Connecticut Transportation Institute 11. Contract or Grant No. Storrs, CT 06269-5202 N/A 12. Sponsoring Agency Name and Address 13. Type of Report and Period Covered Connecticut Department of Transportation Final 2800 Berlin Turnpike 14. Sponsoring Agency Code Newington, CT 06131-7546 CCTRP 12-01 15. Supplementary Notes This study was conducted under the Connecticut Cooperative Transportation Research Program (CCTRP, http://www.cti.uconn.edu/cctrp/). -
Transformations Between the Irish Grid and the GPS Co-Ordinate Reference Frame WGS84 / ETRF89
Making maps compatible with GPS Transformations between The Irish Grid and the GPS Co-ordinate Reference Frame WGS84 / ETRF89 Published by Director, Ordnance Survey Ireland and Director and Chief Executive, Ordnance Survey of Northern Ireland ã Government of Ireland 1999 ã Crown Copyright 1999 Making Maps Compatible with GPS A Transformation between the Irish Grid and the ETRF89 Co-ordinate Reference Frame CONTENTS INTRODUCTION 3 GEODETIC CO-ORDINATE REFERENCE SYSTEMS 4 Introduction 4 Cartesian Co-ordinates 4 Geographical Co-ordinates 5 Plane Co-ordinates 5 Transformation between Geodetic Datum 6 Irish Grid Reference System 6 GPS reference system 7 WGS84 and GRS80 7 ETRS89 7 IRENET95 7 RELATING GPS AND MAPPING REFERENCE SYSTEMS 8 Comparisons 8 Why the difference? 8 Relating GPS to Irish Maps. 9 LEVEL 1 TRANSFORMATION (EASTING AND NORTHING SHIFTS) 11 Derivation 11 Transformation Procedure 12 Forward Transformation Procedure 12 STEP 1: Irish Grid Co-ordinates converted to GPS (Irish Grid) Co-ordinates 12 STEP 2: GPS (Irish Grid) converted to ETRF89 Geodetic Ellipsoidal Co-ordinates 12 Reverse Transformation Procedure 12 STEP 1: ETRF89 Geodetic Ellipsoidal Co-ordinates projected to GPS (Irish Grid) 12 STEP 2: GPS (Irish Grid) Co-ordinates converted to Irish Grid Co-ordinates 12 LEVEL 2 TRANSFORMATION (HELMERT 7 PARAMETER) 13 Introduction 13 Transformation Criteria 13 Method of Parameter Computation 13 Assessment of 7 Parameter Helmert Transformation 15 Accuracy 15 Invertability / Reversibility 15 Uniqueness 15 Conformality 15 Extensibility -
A Guide to Coordinate Systems in Great Britain
A guide to coordinate systems in Great Britain An introduction to mapping coordinate systems and the use of GPS datasets with Ordnance Survey mapping Contents Section Page no 1 Introduction ................................................................................................................................ 3 1.1 Who should read this booklet? ...................................................................................... 3 1.2 A few myths about coordinate systems ......................................................................... 3 2 The shape of the Earth................................................................................................................ 5 2.1 The first geodetic question ............................................................................................ 5 2.2 Ellipsoids ....................................................................................................................... 6 2.3 The Geoid ...................................................................................................................... 7 3 What is position? ........................................................................................................................ 8 3.1 Types of coordinates...................................................................................................... 8 3.2 We need a datum ......................................................................................................... 14 3.3 Realising the datum definition with a Terrestrial Reference -
Determination of Geoid and Transformation Parameters by Using GPS on the Region of Kadınhanı in Konya
Determination of Geoid And Transformation Parameters By Using GPS On The Region of Kadınhanı In Konya Fuat BAŞÇİFTÇİ, Hasan ÇAĞLA, Turgut AYTEN, Sabahattin Akkuş, Beytullah Yalcin and İsmail ŞANLIOĞLU, Turkey Key words: GPS, Geoid Undulation, Ellipsoidal Height, Transformation Parameters. SUMMARY As known, three dimensional position (3D) of a point on the earth can be obtained by GPS. It has emerged that ellipsoidal height of a point positioning by GPS as 3D position, is vertical distance measured along the plumb line between WGS84 ellipsoid and a point on the Earth’s surface, when alone vertical position of a point is examined. If orthometric height belonging to this point is known, the geoid undulation may be practically found by height difference between ellipsoidal and orthometric height. In other words, the geoid may be determined by using GPS/Levelling measurements. It has known that the classical geodetic networks (triangulation or trilateration networks) established by terrestrial methods are insufficient to contemporary requirements. To transform coordinates obtained by GPS to national coordinate system, triangulation or trilateration network’s coordinates of national system are used. So high accuracy obtained by GPS get lost a little. These results are dependent on accuracy of national coordinates on region worked. Thus results have different accuracy on the every region. The geodetic network on the region of Kadınhanı in Konya had been established according to national coordinate system and the points of this network have been used up to now. In this study, the test network will institute on Kadınhanı region. The geodetic points of this test network will be established in the proper distribution for using of the persons concerned. -
Uk Offshore Operators Association (Surveying and Positioning
U.K. OFFSHORE OPERATORS ASSOCIATION (SURVEYING AND POSITIONING COMMITTEE) GUIDANCE NOTES ON THE USE OF CO-ORDINATE SYSTEMS IN DATA MANAGEMENT ON THE UKCS (DECEMBER 1999) Version 1.0c Whilst every effort has been made to ensure the accuracy of the information contained in this publication, neither UKOOA, nor any of its members will assume liability for any use made thereof. Copyright ã 1999 UK Offshore Operators Association Prepared on behalf of the UKOOA Surveying and Positioning Committee by Richard Wylde, The SIMA Consultancy Limited with assistance from: Roger Lott, BP Amoco Exploration Geir Simensen, Shell Expro A Company Limited by Guarantee UKOOA, 30 Buckingham Gate, London, SW1E 6NN Registered No. 1119804 England _____________________________________________________________________________________________________________________Page 2 CONTENTS 1. INTRODUCTION AND BACKGROUND .......................................................................3 1.1 Introduction ..........................................................................................................3 1.2 Background..........................................................................................................3 2. WHAT HAS HAPPENED AND WHY ............................................................................4 2.1 Longitude 6°W (ED50) - the Thunderer Line .........................................................4 3. GUIDANCE FOR DATA USERS ..................................................................................6 3.1 How will we map the -
Estimation Usability of the Free Software for Transformation Of
ESTIMATION USABILITY OF THE FREE SOFTWARE FOR TRANSFORMATION OF GEODETIC COORDINATES BETWEEB LOCAL AND GLOBAL DATUMS-EXAMPLE OF THE ADRIATIC SEA Duplančić Leder, Tea; Faculty of Civil Engineering and Architecture, Matice hrvatske 15, 21000 Split, Croatia; e-mail: [email protected] Leder, Nenad Hydrographic Institute of the Republic of Croatia, Zrinsko Frankopanska 161, 21000 Split, Croatia; e-mail: [email protected] Abstract The paper gives a brief outline of basic terms linked with global and local rotational ellipsoids and their datums as geoid approximations. It describes geodetic coordinate systems used to define the position of a point on the Earth. Several transformations are used to shift between local and global datums, but the Helmert and the Molodensky transformations are the most common ones. In order to estimate the usability of free software, 16 points were selected in a patterned distribution on the Eastern Adriatic coast. For each point, geodetic coordinates were transformed from the local ones to the WGS84 coordinates using a more accurate Helmert transformation (Trimble HYDROpro software with its parameters). After that, these coordinates were transformed using the Molodensky transformation, and the results were compared. The conclusion is that five free software products obtained satisfactory results, whereas one yielded somewhat poorer results. Keywords: datum transformation, Helmert transformation, Molodensky transformation 1. Introduction To date, in the Republic of Croatia, topographic maps and nautical charts have been produced on the local Helmannskoegel datum (Bessel rotational ellipsoid 1841). However, the modern GPS equipment for position fixing (geodetic coordinates) is based upon worldwide used satellite positioning methods, so that it gives position on the global WGS84 datum. -
3D Affine Coordinate Transformations
3D affine coordinate transformations Constantin-Octavian Andrei Master’s of Science Thesis in Geodesy No. 3091 TRITA-GIT EX 06-004 School of Architecture and the Built Environment Royal Institute of Technology (KTH) 100 44 Stockholm, Sweden March 2006 Abstract This thesis investigates the three-dimensional (3D) coordinate transformation from a global geocentric coordinate system to a national terrestrial coordinate system. Numerical studies are carried out using the Swedish geodetic data SWEREF 93 and RT90/RH70. Based on the Helmert transformation model with 7-parameters, two new models have been studied: firstly a general 3D affine transformation model has been developed using 9-parameters (three translations, three rotations and three scale factors) and secondly the model with 8-parameters (three translations, three rotations and two scale factors) has been derived. To estimate the 3D transformation parameters from given coordinates in the two systems, the linearized observation equations were derived. Numerical tests were carried out using a local (North, East, Up) topocentric coordinate system derived from the given global geocentric system. The transformation parameters and the residuals of the coordinates of the common points were computed. The investigation shows the horizontal scale factor is significantly different by the vertical scale factor. The residuals of the control points were expressed in a separate (North, East, Up) coordinate system for each control point. Some investigations on the weighting process between horizontal and vertical components were also carried out, and an optimal weighting model was derived in order to reduce the residuals in horizontal components without changing the coordinates. Keywords: Affine transformation ▪ scale factor ▪ translation ▪ rotation ▪ least squares adjustment ▪ weight ▪ residual. -
Guidance Note 7 Part 2
IOGP Publication 373-7-2 – Geomatics Guidance Note number 7, part 2 – September 2019 To facilitate improvement, this document is subject to revision. The current version is available at www.epsg.org. Geomatics Guidance Note Number 7, part 2 Coordinate Conversions and Transformations including Formulas Revised - September 2019 Page 1 of 162 IOGP Publication 373-7-2 – Geomatics Guidance Note number 7, part 2 – September 2019 To facilitate improvement, this document is subject to revision. The current version is available at www.epsg.org. Table of Contents Preface ............................................................................................................................................................5 1 IMPLEMENTATION NOTES ................................................................................................................. 6 1.1 ELLIPSOID PARAMETERS ......................................................................................................................... 6 1.2 ARCTANGENT FUNCTION ......................................................................................................................... 6 1.3 ANGULAR UNITS ....................................................................................................................................... 7 1.4 LONGITUDE 'WRAP-AROUND' .................................................................................................................. 7 1.5 OFFSETS ................................................................................................................................................... -
Analysis of Coordinate Transformation with Different Polynomial Models
Universität Stuttgart Geodätisches Institut Analysis of coordinate transformation with different polynomial models Bachelorarbeit im Studiengang Geodäsie und Geoinformatik an der Universität Stuttgart Yueqing. Gao Stuttgart, April 2017 Betreuer: Prof. Dr.-Ing. Nico Sneeuw Universität Stuttgart Dr.-Ing. Jianqing Cai Universität Stuttgart II Erklärung der Urheberschaft Ich erkläre hiermit an Eides statt, dass ich die vorliegende Arbeit ohne Hilfe Dritter und ohne Benutzung anderer als der angegebenen Hilfsmittel angefertigt habe; die aus fremden Quellen direkt oder indirekt übernommenen Gedanken sind als solche kenntlich gemacht. Die Arbeit wurde bisher in gleicher oder ähnlicher Form in keiner anderen Prüfungsbehörde vorgelegt und auch noch nicht veröffentlicht. Ort, Datum Unterschrift III Abstract The main task of geodesy is providing geodetic networks with fixed points in order to create a uniform geographical spatial reference frame as a fundament for the data collection by the official geodesy survey institutes. A german geodesy survey institute called AdV (Arbeits- gemeinschaft der Vermessungsverwaltungen der Länder der Bundesrepublik Deutschland) declared in 1991 that the ETRS89 datum should be introduced in Germany as a reference system. In order to transform the already exiting coordinate informations in the Gauß-Krüger coordi- nate system into the later introduced UTM coordinate system, different transformation models have been developed and discussed. Besides the most commonly used 7-parameter Helmert transformation and 6-parameter affine transformation models, polynomial transformation models can also be applied. A method for improving the transformation results of a polyno- mial model will be discussed, with which a significance test (T-test) for each parameter will be done and the polynomial terms with lower significance to the model will be eliminated in order to get the optimal polynomial model. -
Coordinate Transformations
Coordinate Transformations Christiana MITSAKAKI, Greece Keywords: Similarity Transformations, Reference Frames, Positioning, GPS, Deformation Measurements SUMMARY Local geodetic datums have been developed in the past, in order to satisfy the surveying and mapping requirements of countries all over the earth. The broad use of GPS observations, as part of the surveying routine, has shifted the interest form the local to the world geodetic systems. The transformation of coordinates between geodetic systems has always been of interest, but the new needs have made it more important. Three dimensional similarity transformations are being used in Geodesy in order to transform coordinates between three dimensional geodetic datums, although the two dimensional approach is often followed, especially for small networks. This paper deals with the congruency of the two approaches as well as with the tolerances with respect to the size of networks, solved within the Hellenic Geodetic Reference System (HGRS '87). TS7 Reference Frame in Practice 1/11 Christiana Mitsakaki TS7.2 Coordinate Transformations FIG Working Week 2004 Athens, Greece, May 22-27, 2004 Coordinate Transformations Christiana MITSAKAKI, Greece 1. INTRODUCTION A fundamental activity in land surveying is the integration of multiple sets of geodetic data, gathered in various ways, into a single consistent data set, that is into a common geodetic reference frame. In the past it was sufficient, but in some cases also unavoidable, to combine all such data using a locally, mostly arbitrarily, defined geodetic datum. In recent years, a growing trend toward the use of satellite positioning and global mapping satellite systems has been developed providing position – based products in a world reference frame. -
Helmert Transformation of Reference Coordinating Systems for Geodesic Purposes in Local Frames
Available online at www.sciencedirect.com ScienceDirect P r o c e d i a E n g i n e e r i n g 6 9 ( 2 0 1 4 ) 1 6 8 – 1 7 6 24th DAAAM International Symposium on Intelligent Manufacturing and Automation, 2013 Helmert Transformation of Reference Coordinating Systems for Geodesic Purposes in Local Frames Mirta Mataijaa, Matej Pogarčićb, Ivan Pogarčićc* aBusiness department, Study of Informatics, Polytechnic of Rijeka, Trpimirova 2/V, 51000 Rijeka, CROATIA bFaculty of civil engineering and geodesy of Ljubljana, Jamova cesta 2, 1000 Ljubljana, SLOVENIA cPolytechnic of Rijeka, Trpimirova 2/V, 51000 Rijeka, CROATIA Abstract The real-time conditions may develop a need for data originating from the concrete reference system. Sometimes this can refer to the Gauss-Krüger coordinates and UTM projections with a specific datum. This paper analyses a connection between UTM projection with datum WGS-1984 and Gauss-Krüger coordinates for a wider area of the City of Rijeka, without precise need for making the reference to the specific reference coordinate system. Paper also includes the observations of mathematical frames which define Helmert transformations as tool that enables switching from one reference system to another. Additionally, it discusses the needs and possibilities of described tool within GIS and GPS navigation and possibilities of computer program which can modularly be implemented into the specialized programs for Geodesic purposes. © 20120144 The Authors. PublishedPublished by by Elsevier Elsevier Ltd. Ltd .Open access under CC BY-NC-ND license. Selection and peer-reviewpeer-review underunder responsibility responsibility of of DAAAM DAAAM International International Vienna Vienna. -
Application of Geodetic Datums in Georeferencing EUMETNET/OPERA 1999-2006
Application of Geodetic Datums in Georeferencing EUMETNET/OPERA 1999-2006 WD 2005/18 Anton Zgonc Environmental Agency of the Republic of Slovenia E-mail: [email protected] Revision 1.3: December 2006 Abstract The aim of this work is to encourage OPERA forum to include at least a minimal set of new georeferencing parameters which describe geodetic datum, i.e. position and orientation of a chosen ellipsoid in space. The need for more accurate description of position on the Earth surface appears as soon as we deal with horizontal resolution below 1 km. Detailed aspects about georeferencing are not widely known within meteorological commu- nity. Geodetic datum is briefly explained, and difference between geodetic and geocentric latitude is given as well. Luckily, all the proposed inovations are already available in newer releases of the PROJ pack- age. Guidelines for usage of command-line utilities, as well as some remarks on the libproj library, are presented. Some attention to key parameters which influence the position of radar pixels is shown, too. It is evident that a reasonable compromise between desired accuracy and natural limitations has to be taken. Finally, some proposals on how to change the current practice in projectional parameters, are given. 1 EUMETNET/OPERA 1999-2006 WD 2005/18 Contents 1 Introduction 3 2 Geodetic Background 3 2.1 Ellipsoid and Geodetic Datum . 3 2.2 Geodetic Coordinate System . 5 2.3 Geodetic and Geocentric Latitude . 6 2.4 Geocentric anf Geodetic latitudes in Projectional Parameters . 8 3 Datum Transformations 9 3.1 Helmert Transformation . 9 3.2 Sources of datum parameters .