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Volume 41, No. 313 July 2009

1. Orientation and alignment of the 5th century BC tunnel of Eupalinus at Samos (Greece)

Stathis C. Stiros

In circa 530BC an about 1000m long tunnel was opened in Samos Island, Greece, as part of an aqueduct; this was the first tunnel ever excavated from both portals using strict surveying techniques. Despite the details studies, there are some questions concerning the techniques used by Eupalinus, the chief engineer. One of these questions is the selection of the specific path for the tunnel, a selection which appears at a first view rather awkward, for it leads to a longer tunnel and a longer aqueduct. Our investigation revealed that Eupalinus selection was constrained by two factors, one geotechnical and another geodetic. Eupalinus had first to avoid an area of weak rocks making unsafe, if not impossible the excavation, and second, to take advantage of a small valley, the only existing in rocks suitable for the excavation, and define a baseline of the maximum possible length, necessary for the accurate alignment of the excavation from the two portals. This proves that Eupalinus had an excellent understanding of what we can describe as a practical theory of errors and of measurements.

 

2. Integrated adjustment of Chinese’ GPS control network.

Yang Yuan-xi, Tang Ying-zhe, Chen Chuan-lu, Wang Min, Zhang Peng, Wang Xiao-rui, Song Li-jie, Zhang Zu-sheng

Since the beginning of the nineteen nineties, China has established six nationwide GPS networks by corresponding campaigns for different objectives. With the support of the international GPS service (IGS) network and advanced data processing strategies, an accurate and unified national GPS control network with more than 2500 stations integrating the 6 existing GPS networks has been established, which is called “National 2000’ GPS Control Network”. In the integrating adjustment of the nationwide GPS networks, some systematic model parameters were introduced into the adjustment functional model, in order to control the influences of systematic errors of the sub networks; the variance component estimation technique is used for adjusting the a priori precision of the different GPS networks and different observation sessions; the error detection and deleting technique is used in the data pre-processing of sub networks and observation sessions for resisting the effects of outlying observations; and a bifactor robust estimation theory is applied for controlling the influences of the outliers of the correlated baselines on the last coordinate parameters. It is shown that the average standard deviation for the horizontal component is smaller than 1.0cm, for the vertical component is smaller than 2.0cm, and for the three dimensional (3-D) position of geocentre coordinates is smaller than 3.0cm. The exterior checking accuracy for the 3-D position is averagely better than 0.9cm.

 

3. Error Correction Models and Their Effects on GPS Precise Point Positioning

Wu Chen, Congwei Hu, Shan Gao, Yongqi Chen and Xiaoli Ding

Along with improvements in International GPS Services (IGS) products with regard to GPS satellite orbit and clock errors, the Precise Point Positioning (PPP) technique has been developed in recent years. Compared with conventional GPS relative positioning mode, the PPP technique does not require the presence of a nearby reference station, which makes it more attractive than other techniques for some applications. However, to achieve centimetre-level positioning accuracy, all GPS errors have to be modelled carefully and removed from measurements. Some errors that have not been seriously considered in a relative positioning mode have to be treated now. This paper analyzes the effects of the earth tide, satellite antenna offset, and phase wind-up corrections on the accuracy of the PPP technique. Similar to relative positioning mode, we can also combine measurements from different satellites and different epochs to reduce errors in measurement in the PPP data processing. The positioning accuracies with different combinations of GPS phase observables are also presented in the paper.


4. Comparison of terrestrial laser scanner with digital aerial photogrammetry for extracting ridges in the rice paddies

I. S. Lee, J. O. Lee and L. Ge

The patches of the rice paddies are generally positioned by a traditional surveying method such as Plane Table and Total Station in Korea. This study has been undertaken to check whether TLS (Terrestrial Laser Scanner) could meet the accuracy standard, compare TLS survey data with those one of the new modern survey technologies such as digital aerial photogrammetry and RTK GPS. As a result, it is shown that terrestrial laser scanning and 3D stereo plot of digital aerial photogrammetry technology could meet a positional accuracy standard with artificial target. The extraction of ridges of rice paddies is, however, difficult due to the limitation of the tone colour identification and the noise of digital aerial image, and low density of the point clouds in TLS scanning. It is therefore expected that more researches into the sophisticated algorithms for the natural boundary extraction and the noise removal in digital aerial image are required.

 

5. Surveying: a profession facing a global crisis?

J. Hannah, J. Kavanagh, R. Mahoney and F. Plimmer

The surveying profession, in different parts of the world, report a range of major problems, including low student numbers, closure of surveying courses, an aging teaching profession, inadequate job opportunities in some locations, and an insufficient supply of graduates to fill the vacancies in others. There are challenges of new technologies within both education content and delivery and the risks associated with non-specialist data uses. Overarching these problems appears to be the lack of any clear international recognition of a 21st century definition of the profession of “surveying” and thus a failure to promote, at a global level, a clear, coherent “surveying” message to both clients and to the broader public. Indeed, there is evidence that some skills that are recognized and valued as being part of the surveying profession in some countries are not considered in the same light in others. This paper examines these issues, concluding that the global surveying profession is indeed lacking a clear, coherent message and that the mounting issues, if not addressed quickly, have the potential to affect severely the development of the profession and to assume crisis proportions.

 

6. New affine transformation parameters for the horizontal network of Seoul/ Korea by multivariate TLS-adjustment.

Jay Hyoun Kwon Jong-Ki Lee, Burkhard Schaffrin, Yun Soo Choi, Impyeong Lee

The new approach of multivariate Total Least-Squares (TLS) adjustment has been applied to 33 stations of the horizontal network of Seoul/Korea in order to estimate best-fitting affine transformation parameters. The results are presented along with variances and covariances (in first order approximation), and comparisons are drawn with the standard Least-Squares (LS) approach. Although the estimates from TLS do not show practical differences with respect to LS, the fit does yield significant improvements. Furthermore, the estimates could be substantially different when the data quality drops considerably. No weights are taken into consideration at this time.

7. Using an official undulation model for orthometric height acquisition by GNSS

G. Even-Tzur and G. Steinberg

Since the beginning of 2006 the vertical control system in Israel is ellipsoidal. The Survey of Israel constructs and maintains the ellipsoidal vertical control system based on permanent Global Navigation Satellite System (GNSS) stations. Nowadays, the vertical control system’s objective of providing a framework upon which topographers and engineers can base and adjust their heights is achieved more easily by GNSS measurements. Despite this, the vertical orthometric control system is still in use since many height data users prefer the orthometric system. However, the characteristics of the orthometric control system are localized.
The Geoid Undulation Model is one of the foundations of the geodetic infrastructure. It is used to connect ellipsoidal and orthometric heights. Intensive utilization of GNSS for geodetic, surveying and engineering applications necessitates the rapid development of an undulation model. Today, the efforts to develop a geoid undulation model with an accuracy level of one centimetre over an entire country demand multiple resources. This paper suggests a method for developing an orthometric control system with a reasonable accuracy level on a nationwide basis by means of GNSS measurements, ellipsoidal vertical control and an official geoid undulation model. The best available geoid undulation model can be used as the official geoid undulation model, regardless of its accuracy level.
Research was conducted in Israel in order to test the feasibility of the idea of using an official geoid undulation model. Two kinds of official models were tested, the world wide geopotential model GPM98B and a local countrywide model computed by the Survey of Israel. We compared the orthometric height differences obtained by GPS measurements using the undulation model with the known orthometric differences. This paper presents the results of these experiments. It verifies the capability of the suggested technique to define seamless orthometric vertical control, adequate for most geodetic and surveying purposes, via a low-cost and fast procedure.

8. The conception of integrated survey networks composed of modular networks and GPS vectors

T. Gargula

The main feature of the modular network method is a possibility of quick establishing the measurement network with concurrent tachymetric measurement of situational details. The network is established on site, without being earlier designed in any way. Sites are usually selected in any place and treated as temporary (lost) points. This paper puts forward a proposal to strengthen the structure of modular networks with GPS measurements. GPS vectors can be adjusted together with the modular network. What is obtained as result, are the coordinates of tie (connecting) points, which are necessary for the final transformation to the reference coordinate system. Measurement results can be adjusted with the use of multi-group transformation. The method leads to the solution of a system of conditional equations with unknowns. The issue of numerical development may be related to integrated networks considered as 2- or 3-dimensional structures.


9. A non-iterative approach to solving horizontal curves

Saiid Shebl and Saleh A. Alsaleh

The five elements of any horizontal circular curve, which are tangent distance, T, external distance, E, middle ordinate, M, chord length C, and length of curve, L, can be directly determined if the radius R and deflection angle delta are given. Practically, there are some cases where the deflection angle delta and the radius R cannot be measured due to the inaccessibility of the intersection point PI. Thus, two other curve elements have to be known in order to layout the horizontal circler curve.
This paper presents a direct method to extract the unknown elements exploiting a cubic polynomial equation which characterizes the curve deflection angle. The least squares technique is considered in order to facilitate the solution with fair accuracy.
Particularly, the cubic polynomial is selected as it generates an adequate desired accuracy. If higher accuracy is aspired, higher order polynomials, i.e. quartics, quintics,…, may be adopted.
On contrast to other methods, which adopt iteration process, the presented method is direct, non-iterative, accurate, and easy to handle values of deflection angle, delta, ranging from 0 to pi without imposing any derivatives.
The major benefits of the proposed method are illustrated as: firstly it is direct method which may easily be executed using the pocket calculator with high accuracy, and secondly, it avoids the uncertainty of the convergence due to the lack of pre-estimation of the initial value of deflection angle and number of iteration trials required when iteration solution is considered.
The applicability and accuracy of the presented method is justified through a numerical application. Using the same values of L and T, it has been found that the percent of error for the previous methods in five digits values vary from 0 to 0.00133% for delta and 0.00084 % to 0.00252 % for R. The proposed method gives an error of 0.00533 % for delta and 0.00644 % for R. The effect of such errors in roadway geometry design is negligible.

 

Volume 41, No. 312 April 2009

1. Teaching field Surveying to final-year university students: an example from Western Australia

W. E. Featherstone and G. P. Galvin

At Curtin University of Technology, all final-year undergraduate surveying students must take a field-to-finish survey camp as part of their degree programme. This paper outlines the six exercises now set and their educational rationale, including a novel system where a production environment is replicated by setting penalties for late submission of assignments. In addition, some deliberate ‘traps’ are set to reinforce routine checks of their observations. The approaches and philosophies used here may be of use/interest to other field-surveying educators.


2.Geodetic control on Barbados, West Indies

K. Miller, M. St. Clair, B. Hart, A. McClean, P. Sydney, G. Hutchinson, A. Clarke and A. Gopee

Complete redevelopment of the traditional geodetic infrastructure on the island of Barbados, West Indies, took place in 1968/9 when both angles and distances were observed to provide horizontal control of high order. Observations made in 2007 at selected stations with thirteen GPS operating simultaneously to measure 377 baselines shows that integrity of the network has been retained. Seven transformation parameters are now available to convert between the local datum and WGS84 to an accuracy of 0.15 m. Accuracy of a three parameter transformation is reduced to 0.5m due to a difference of 12” in azimuth between the local datum and WGS84. In the vertical component, height data from traditional control is used with that from the GPS observations and the CARIB97 geoidal model for the region, to refine a height correction model. This is capable of reducing heights from WGS84 to the local land survey datum to an accuracy of 3 cm. Contrary to previous reports, no significant change in sea level with respect to the land survey datum is found. Analysis of data sets used previously suggests that there is more likely a misunderstanding of the reference level adopted for sea level observations. With both horizontal and vertical components of the relationship between WGS84 and the local datum now realised, the survey community can better integrate data from different sources. While some surveyors have made the transition to new technology, the density of existing control points together with the geologically stable conditions, that have preserved integrity, and clear visibility across the island imply that conditions are still suited to traditional surveying methods.


3. The GNSS ambiguity ratio-test revisited: a better way of using it.

P.J.G. Teunissen and S. Verhagen

Integer carrier phase ambiguity resolution is the key to fast and high-precision global navigation satellite system (GNSS) positioning and application. Apart from integer estimation, also acceptance tests are part of the ambiguity resolution process. A popular acceptance test is the so-called ratio-test.
In this contribution we study the properties and the underlying concepts of the ratio-test. We discuss some misconceptions of the ratio-test and in particular show that the ratio-test is not a test for testing the correctness of the integer least-squares solution. We also show that the common usage of the ratio-test with a fixed critical value has shortcomings. Instead, the fixed failure rate approach is recommended. This approach is part of the more general theory of integer aperture estimation, and enables that the failure rate does not exceed a user-defined value. Results of the fixed failure-rate ratio-test and its improved performance are illustrated with a number of examples.

4. Reducing GPS carrier phase errors with EMD-wavelet for precise static positioning

Jian Wang, Jinling Wang and Craig Roberts

In this paper, a new EMD-Wavelet based model is used to reduce carrier phase errors for precise static GPS positioning. The EMD is a new signal processing method for analysing non-linear time series, which decomposes a time series into a finite and often small number of Intrinsic Mode Functions (IMFs). The decomposition procedure is adaptive and data-driven. The IMFs are stationary which are more suitable for wavelet analysis. The merits of both the EMD and Wavelets are combined to produce an improved EMD-Wavelet systematic error extraction model. Thereafter, a method of the GPS baseline calculation based on the EMD-Wavelet systematic error mitigation model is suggested. The experimental results show that the proposed scheme dramatically improves the reliability of ambiguity resolution with a larger F-ratio and W-ratio index after systematic error elimination.


5. Direct determination of local coordinates from GPS without transformation

H. S. Kutoglu

Geodetic frameworks in most countries are still referenced to local horizontal geodetic datums. Therefore, GPS-determined geodetic networks have to be integrated to local (national) networks. In practice, this process is always achieved by a coordinate transformation. However, this common way has some difficulties. For avoiding these difficulties, an alternative way called DIDELOC is proposed in this study. The basis of this method is based on that the slope distances are datum free. Utilizing this property of slope distance, GPS baselines can be evaluated directly in local system by DIDELOC method. This method is successfully applied to the test data selected from the biggest hard coal basin of Turkey. The results show that the previous coordinates in the basin have experienced deformations caused by subsidence.

6. Comprehensive process-driven boundary making model: a case study of the Jordan-Israel boundary

H. Srebro and M. Shoshany

Surveyors had a central role in boundary-making processes from at least the 19th century. The latest technological developments in this field have further widened their involvement in the process and changed the concepts and practices implemented. The Process Model presented here incorporates the new technical means available for modern surveyors in accomplishing a more stable and sustainable boundary through a structured procedure. The roots of the traditional theory of boundary making were put down a century ago by Curzon[6], Holdich[9] and others referring mainly to the three-stage process of allocation, delimitation and demarcation. This article renews the existing model of boundary making process adding to it two additional stages: boundary documentation and boundary maintenance to build up a comprehensive approach. The direct involvement of the authors in boundary making processes between Israel and its neighboring countries facilitated assessment of the model elements and their full implementation in the Israel–Jordan Boundary making from negotiations, through demarcation in the field up to continuing bi-lateral maintenance operations.

7. Accuracy of GPS positioning over regional scales

D. Ugur Sanli and Cetin Engin

Recently, evaluation of GPS positioning accuracies has gained importance. Studies presented in this manner usually employ inter-station distances varying between 5 and 300 km. In this study, we aim to assess GPS accuracies over longer baselines (i.e. on smaller or regional scales) ranging from 300 to 3000 km. We adopted already published Least Squares functional models for accuracy assessments and investigated the effects on long baseline solutions. We used GPS data from Scripps Orbit and Permanent Array Centre (SOPAC) archives. GPS data were processed using NASA’s GIPSY OASIS II research software. Our results indicate that GPS positioning accuracies show dependency on both the observing session duration and inter-station distances over regional scales. New prediction formulas have been derived for regional scales since accuracy estimation could not be performed well with the ones that were previously derived. We also noticed that the effect of inter-station distance appears to be significant only for baselines longer than 2000 km.


8. Some notes and numerical comparisons on gravity anomalies interpolation

A. Martín, A.B. Anquela, J. Padín and S. Baselga

The interpolation of gravity anomalies is a widely used process by the geodetic and geophysical communities to achieve their objectives. This interpolation is commonly made using geostatistic methods (Kriging or least-squares prediction), over gravity anomalies uncorrelated with height (Bouguer or residual free-air gravity anomalies). The interpolation of free-air or Faye gravity anomalies, which are strongly correlated with height, is usually achieved by the interpolation of Bouguer anomalies and subsequent transformation to free-air or Faye anomalies.
This paper describes the method of using the local linear correlation with height as a parameter inside the interpolation for these last gravity anomalies, forming a one-step interpolation procedure.
Numerical values are also obtained and compared for the interpolation of different gravity anomalies. These gravity anomalies are: free-air, refined Bouguer and Faye anomalies, reduced free-air, reduced refined Bouguer and reduced Faye anomalies (using the recent EIGEN-CG03C global geopotential model to degree 360) and residual free-air gravity anomalies.
The area studied is located in the Valencia Region (Eastern Spain). The analysis of the results is based on the actual error derived from the interpolated value at a number of control points by comparison with their actual observed values (absolute error).
The main conclusion reached is that all type of gravity anomalies and methods used for interpolation give the same results.

 

Vol. 41. No. 311 January 2009

1. International boundary surveys and demarcation in the late 19th and early 20th centuries.

P. Collier

Much of 19th century colonial boundary making was carried out in conferences, by diplomats who were ignorant of the geography of the areas to be delimited. In an attempt to put boundary making on a more rational footing, two British army officers, Hills and Holdich, and a politician, Curzon, made a number of recommendations. As an experienced boundary surveyor, the suggestions of Holdich should have carried the most weight. However, while the ideas of Hills, Curzon and Holdich had much to commend them, with a few notable exceptions, their ideas were rarely followed.

2. GPS-derived strain rates on an active ice shelf rift

V. Janssen, R. Coleman and J.N. Bassis

Ice shelves are important components of the Antarctic ice sheet due to their ice-ocean-atmosphere interface and vulnerability to global increases (or decreases) in atmospheric and oceanic temperatures. The development of rifts, which are fractures that penetrate through the entire ice shelf thickness, precede large tabular iceberg detachment and can lead to ice shelf break-up. Changes in strain rates on an active propagating rift system on the Amery Ice Shelf, East Antarctica are determined using in-situ Global Positioning System (GPS) measurements. Results for the 2002/03 Antarctic summer period (Dec-Feb) confirm previous observations that rift propagation occurs in episodic bursts separated by several days. Transverse-to-flow (i.e. parallel-to-rift) strain rates exceed longitudinal-to-flow (i.e. normal-to-rift) rates by up to a factor of 5 and maximum principal strain rates around the rift tip vary from 12 to 21 [x 10-3/yr]. A rotation in the direction of the principal strain is evident around the rift tip, indicating a change in the mechanics of rift fracture. It is demonstrated that cumulative sum analysis, obtained by differencing a pair of residual baseline time series situated approximately normal and parallel to the rift, is an effective method to detect small baseline length changes.

3. Comparison and analysis of non-linear least squares methods for 3-D coordinates transformation

M. M. El-Habiby, Y. Gao, and M. G. Sideris

Four different methods are evaluated by solving the Molodensky 3-D coordinate transformation problem. These methods are Steepest Descent, Trust region, Gauss Newton and Levenberg-Marquardt. Also, the problem has been solved using the traditional combined least-squares adjustment. The solutions of these methods are compared by the number of iterations required for the objective function to converge to its minimum value. Externally, the RMSE of the transformed check stations of the geodetic network (curvilinear coordinates) are compared to the RMSE obtained by transforming the same set of check stations using the transformation parameters recommended by the Egyptian Survey Authority.


4. Comparison of four geodetic network densification solutions

H.S. Fok, H. Baki Iz, and B. Schaffrin

Geodetic surveying practices require the establishment of new control stations that are tied to higher order stations with known coordinates (reference control stations – fiducial stations), an activity known as densification. The coordinates of the newly established control stations are adjusted together with the coordinates of the reference control stations which are required to remain invariant along with their variance-covariance matrices (i.e. they are reproduced). In this study, we compare the performance of four different approaches that can be used to achieve this end for their optimality and sensitivity against potential systematic effects in the reference control station coordinates using a GPS network densification example.


5. Using land readjustment method as an effective urban land development tool in Turkey

B. Uzun

In developing countries one of the urbanization issues is the provision of adequate land for new built-up areas. Therefore, it is important to implement land development plans to meet urban land needs and facilitate systematic urban development. There are different methods to realize these procedures and, worldwide, land expropriation is the most commonly used one. Compensation based procedures are mostly used to release land for urban land development applications, but this is both expensive and coercive. There needs to be a more effective way of providing land for new settlements and construction. Land readjustment (LR) is one of the land development tools used in the developing world to support urbanization requirements. It has the ability to solve land-use problems in urban areas when there is a need to redesign and create new urban settlements. In order to provide land for a continuing urban development process, LR has been implemented in Turkey. In particular, municipalities apply the method to release land for public areas such as roads, parks and play areas. This paper outlines, first, the implementation methods of urban land development plans in Turkey, and then the Turkish LR method is introduced in detail.

6. Improved Coordinate Transformation in Dubai Using a New Interpolation Approach of Coordinate Differences

A. El-Mowafy, H. Fashir, and Y. Al-Marzooqi

In this study, an improved coordinate transformation method between geodetic reference frames in Dubai, UAE, is investigated. In the first phase of this method, a similarity transformation is performed using a seven-parameter model between points known in the two frames involved in the transformation process. Next, the coordinate differences between the transformed coordinates and their known values in the frame into which they are transformed are computed. A database is then produced containing these coordinate differences. To transform coordinates of other points, their coordinates are initially transformed using the similarity transformation parameters estimated in the first step. Next, the coordinate corrections (as differences) at these points are interpolated using the generated database and added to the initial transformed coordinates. Instead of using the common method of double interpolation from a grid for this purpose, a new method is presented. The method directly interpolates coordinate differences at a required point from coordinate differences of the nearest three known points. These differences in the spatial domain form a triangle. Each triangle is assumed to be a surface. The coordinate difference at the required point is estimated on that surface by geometry. Results from testing show that coordinate transformation at accuracy of 2.1 cm on average was achieved in Dubai, which is better than using only the current traditional similarity transformation. Results also show that the proposed interpolation method has a very good performance.

7. Deformation monitoring by GPS at embankment dams and deformation analysis

E. Gökalp and L. Tasçi

Deformation measurements are very important for inspecting huge engineering structures in order to prevent disasters caused by deformation and thus protect national investment. These measurements require the use of very accurate surveying equipment. In particular, the structure of a dam and the physical effects it has on its surroundings need continuous monitoring in order to see if unexpected changes have occurred. If any change is found, remedial work can be performed to protect the structure. The Global positioning System (GPS) meets all of the requirements stated above and therefore, GPS receivers were used in this research. The main aims of this work were the examination of deformation at the crest of the dam caused by water load at different water levels and the weight of the dam. Additionally, the study was undertaken to determine whether GPS measurements could reach the accuracy requirements for dam deformation measurements. In order to monitor and examine the deformation, a monitoring network consisting of 6 reference points and 11 object points was established. Measurements were made four times over 2 years using dual frequency GPS receivers with static methods. The measurements were processed and point coordinates were determined. Then differences were calculated between periods and the differences were analyzed by iterative weighted transformation and Fredericton methods to determine the stability of the points. Finally, the results from the two methods were compared and discussed.

 

 

 
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