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1.
Marcin Ligas 《Journal of Geodesy》2012,86(4):249-256
A new method of transforming Cartesian to geodetic (or planetographic) coordinates on a triaxial ellipsoid is presented. The
method is based on simple reasoning coming from essentials of vector calculus. The reasoning results in solving a nonlinear
system of equations for coordinates of the point being the projection of a point located outside or inside a triaxial ellipsoid
along the normal to the ellipsoid. The presented method has been compared to a vector method of Feltens (J Geod 83:129–137,
2009) who claims that no other methods are available in the literature. Generally, our method turns out to be more accurate, faster
and applicable to celestial bodies characterized by different geometric parameters. The presented method also fits to the
classical problem of converting Cartesian to geodetic coordinates on the ellipsoid of revolution. 相似文献
2.
The total optimal search criterion in solving the mixed integer linear model with GNSS carrier phase observations 总被引:3,自引:2,他引:1
Existing algorithms for GPS ambiguity determination can be classified into three categories, i.e. ambiguity resolution in
the measurement domain, the coordinate domain and the ambiguity domain. There are many techniques available for searching
the ambiguity domain, such as FARA (Frei and Beutler in Manuscr Geod 15(4):325–356, 1990), LSAST (Hatch in Proceedings of KIS’90, Banff, Canada, pp 299–308, 1990), the modified Cholesky decomposition method (Euler and Landau in Proceedings of the sixth international geodetic symposium on satellite positioning,
Columbus, Ohio, pp 650–659, 1992), LAMBDA (Teunissen in Invited lecture, section IV theory and methodology, IAG general meeting, Beijing, China, 1993), FASF (Chen and Lachapelle in J Inst Navig 42(2):371–390, 1995) and modified LLL Algorithm (Grafarend in GPS Solut 4(2):31–44, 2000; Lou and Grafarend in Zeitschrift für Vermessungswesen 3:203–210, 2003). The widely applied LAMBDA method is based on the Least Squares Ambiguity Search (LSAS) criterion and employs an effective decorrelation technique in addition. G. Xu (J Glob Position Syst 1(2):121–131,
2002) proposed also a new general criterion together with its equivalent objective function for ambiguity searching that can be
carried out in the coordinate domain, the ambiguity domain or both. Xu’s objective function differs from the LSAS function,
leading to different numerical results. The cause of this difference is identified in this contribution and corrected. After
correction, the Xu’s approach and the one implied in LAMBDA are identical. We have developed a total optimal search criterion
for the mixed integer linear model resolving integer ambiguities in both coordinate and ambiguity domain, and derived the
orthogonal decomposition of the objective function and the related minimum expressions algebraically and geometrically. This
criterion is verified with real GPS phase data. The theoretical and numerical results show that (1) the LSAS objective function
can be derived from the total optimal search criterion with the constraint on the fixed integer ambiguity parameters, and
(2) Xu’s derivation of the equivalent objective function was incorrect, leading to an incorrect search procedure. The effects
of the total optimal criterion on GPS carrier phase data processing are discussed and its practical implementation is also
proposed. 相似文献
3.
The location of new homes defines the urban–rural fringe and determines many facets of the urban–rural interaction set in
motion by construction of new homes in previously rural areas. Home, neighborhood and school district characteristics play
a crucial role in determining the spatial location of new residential construction, which in turn defines the boundary and
spatial extent of the urban–rural fringe. We develop and apply a spatial hedonic variant of the Blinder (J Hum Resour 8:436–455,
1973) and Oaxaca (Int Econ Rev 9:693–709, 1973) price decomposition to newer versus older home sales in the Columbus, Ohio metropolitan area during the year 2000. The preferences
of buyers of newer homes are compared to those who purchased the nearest neighboring older home located in the same census
block group, during the same year. Use of the nearest older home purchased in the same location represents a methodology to
control for various neighborhood, social–economic-demographic and school district characteristics that influence home prices.
Since newer homes reflect current preferences for home characteristics while older homes reflect past preferences for these
characteristics, we use the price differentials between newer and older home sales in the Blinder–Oaxaca decomposition to
assess the relative significance of various house characteristics to home buyers.
相似文献
Joni S. CharlesEmail: |
4.
Asuncion Beamonte Pilar Gargallo Manuel Salvador 《Journal of Geographical Systems》2010,12(2):227-240
In this paper, we extend the Bayesian methodology introduced by Beamonte et al. (Stat Modelling 8:285–311, 2008) for the estimation and comparison of spatio-temporal autoregressive models (STAR) with neighbourhood effects, providing
a more general treatment that uses larger and denser nets for the number of spatial and temporal influential neighbours and
continuous distributions for their smoothing weights. This new treatment also reduces the computational time and the RAM necessities
of the estimation algorithm in Beamonte et al. (Stat Modelling 8:285–311, 2008). The procedure is illustrated by an application to the Zaragoza (Spain) real estate market, improving the goodness of fit
and the outsampling behaviour of the model thanks to a more flexible estimation of the neighbourhood parameters. 相似文献
5.
J. Feltens 《Journal of Geodesy》2008,82(8):493-504
Vector-based algorithms for the computation of azimuth, elevation and the ellipsoidal normal unit vector from 3D Cartesian
coordinates are presented. As a by-product, the formulae for the ellipsoidal normal vector can also be used to iteratively
transform rectangular Cartesian coordinates (X, Y, Z) into geodetic coordinates (φ, λ, h) for a height range from −5600 km to 108 km. Comparisons with existing methods indicate that the new transformation can compete with them. 相似文献
6.
In recent years, several studies have demonstrated the sensitivity of Global Navigation Satellite System (GNSS) station time
series to displacements caused by atmospheric pressure loading (APL). Different methods to take the APL effect into account
are used in these studies: applying the corrections from a geophysical model on weekly mean estimates of station coordinates,
using observation-level corrections during data analysis, or solving for regression factors between the station displacement
and the local pressure. The Center for Orbit Determination in Europe (CODE) is one of the global analysis centers of the International
GNSS Service (IGS). The current quality of the IGS products urgently asks to consider this effect in the regular processing
scheme. However, the resulting requirements for an APL model are demanding with respect to quality, latency, and—regarding
the reprocessing activities—availability over a long time interval (at least from 1994 onward). The APL model of Petrov and
Boy (J Geophys Res 109:B03405, 2004) is widely used within the VLBI community and is evaluated in this study with respect to these criteria. The reprocessing
effort of CODE provides the basis for validating the APL model. The data set is used to solve for scaling factors for each
station to evaluate the geophysical atmospheric non-tidal loading model. A consistent long-term validation of the model over
15 years, from 1994 to 2008, is thus possible. The time series of 15 years allows to study seasonal variations of the scaling
factors using the dense GNSS tracking network of the IGS. By interpreting the scaling factors for the stations of the IGS
network, the model by (2004) is shown to meet the expectations concerning the order of magnitude of the effect at individual stations within the uncertainty
given by the GNSS data processing and within the limitations due to the model itself. The repeatability of station coordinates
improves by 20% when applying the effect directly on the data analysis and by 10% when applying a post-processing correction
to the resulting weekly coordinates compared with a solution without taking APL into account. 相似文献
7.
This paper presents a continuous version of the model of distribution dynamics to analyse the transition dynamics and implied
long-run behaviour of the EU-27 NUTS-2 regions over the period 1995–2003. It departs from previous research in two respects:
first, by introducing kernel estimation and three-dimensional stacked conditional density plots as well as highest density regions
plots for the visualisation of the transition function, based on Hyndman et al. (J Comput Graph Stat 5(4):315–336, 1996), and second, by combining Getis’ spatial filtering view with kernel estimation to explicitly account for the spatial dimension of the
growth process. The results of the analysis indicate a very slow catching-up of the poorest regions with the richer ones,
a process of shifting away of a small group of very rich regions, and highlight the importance of geography in understanding
regional income distribution dynamics.
相似文献
Manfred M. FischerEmail: |
8.
A wide-angle airborne laser ranging system has been developed for the determination of relative heights of ground-based benchmarks
in regional-scale networks (typically 100 laser reflectors spread over 100 km2). A first prototype demonstrated a 1–2 mm accuracy in radial distance measurement in a ground-based experiment in 1995. The
first aircraft experiment was conducted in 1998, over a small area (1 km2) equipped with a network of 64 benchmarks. The instrument was modified before that experiment, in order to minimize echo
superimposition due to the high density of benchmarks. New data processing algorithms have been developed, for the deconvolution
of strongly overlapped echoes and a high a priori uncertainty in the aircraft flight path, and for the estimation of benchmark
coordinates. A special methodology has been developed for the parameterization of these algorithms and of outlier detection
tests. From a total of 2×104 pseudo-range measurements, that have been acquired from two flights composed of 30 legs each, only 3×103 remain after outlier detection. A positioning accuracy of 1.5 cm in the vertical coordinate (2.1 cm in the difference between
the two flights) has been achieved. It is shown that the errors are normally distributed, with a nearly zero mean, and are
consistent with the a posteriori uncertainty. It is also shown that the accuracy is limited mainly by the sensitivity of the
photodetector used for this experiment (due to reduced response time). Another limiting factor is the effect of aircraft attitude
changes during the measurements, which produces additional uncertainties in absolute distance measurements. It is planned
to test new photodetectors with high internal gains. These should provide, in future experiments with smaller benchmark density,
an improvement in signal-to-noise ratio of a factor of 5–10, leading to sub-centimeter vertical positioning accuracy.
Received: 19 June 2001 / Accepted: 3 January 2002 相似文献
9.
The perspective 4 point (P4P) problem - also called the three-dimensional resection problem - is solved by means of a new algorithm: At first the unknown Cartesian coordinates of the perspective center are computed by means of M?bius barycentric coordinates. Secondly these coordinates are represented in terms of observables, namely space angles in the five-dimensional simplex
generated by the unknown point and the four known points. Substitution of M?bius barycentric coordinates leads to the unknown Cartesian coordinates (2.8)–(2.10) of Box 2.2. The unknown distances within the five-dimensional simplex are determined by solving the Grunert equations, namely by forward reduction to one algebraic equation (3.8) of order four and backward linear substitution. Tables 1.–4.
contain a numerical example. Finally we give a reference to the solution of the 3 point (P3P) problem, the two-dimensional resection problem, namely to the Ansermet barycentric coordinates initiated by C.F. Gau? (1842), A. Schreiber (1908) and A.␣Ansermet (1910).
Received: 05 March 1996; Accepted: 15 October 1996 相似文献
10.
Iterative vector methods for computing geodetic latitude and height from rectangular coordinates 总被引:4,自引:4,他引:4
J. Pollard 《Journal of Geodesy》2002,76(1):36-40
Two iterative vector methods for computing geodetic coordinates (φ, h) from rectangular coordinates (x, y, z) are presented. The methods are conceptually simple, work without modification at any latitude and are easy to program. Geodetic
latitude and height can be calculated to acceptable precision in one iteration over the height range from −106 to +109 m.
Received: 13 December 2000 / Accepted: 13 July 2001 相似文献
11.
Mehul R. Pandya Raghavendra Pratap Singh Sushma Panigrahy Jai Singh Parihar 《Journal of the Indian Society of Remote Sensing》2012,40(2):225-229
This is the second paper of the series on the influence of the atmospheric water vapour (WV) on IRS NIR measurements. In the
first paper (Pandya et al. 2011) a simulation study was presented where through the radiative transfer calculations it was shown that the variation of 0
to 6 g/cm2 in the WV hampered the IRS NIR reflectance up to 14%. In that study splitting of IRS NIR (0.770–0.860 μm) into two bands,
such as NIR1 (0.775–0.805 μm) and NIR2 (0.845–0.875 μm) was also proposed, which facilitated a considerable improvement in
NIR reflectance as well as in NDVI. Objective of the present paper is to validate the findings of simulation study with the
use of EO1-Hyperion data. An improvement of the order of 7% in the top-of-atmosphere reflectance over vegetation target was
obtained from the satellite data analysis, which is in good agreement to that of simulation results (3.7 to 7.9%) for the
continental WV conditions of 1 to 3 g/cm2. This is also true for NDVI values, which illustrated a good agreement between the satellite observations (2.5%) and simulation
results (2 to 4.6%) for the magnitude of improvement. Findings of the present study are preliminary in the nature but it provides
a basis for enhanced NIR observations for future IRS sensors. 相似文献
12.
The weighted Procrustes algorithm is presented as a very effective tool for solving the three-dimensional datum transformation
problem. In particular, the weighted Procrustes algorithm does not require any initial datum parameters for linearization
or any iteration procedure. As a closed-form algorithm it only requires the values of Cartesian coordinates in both systems
of reference. Where there is some prior information about the variance–covariance matrix of the two sets of Cartesian coordinates,
also called pseudo-observations, the weighted Procrustes algorithm is able to incorporate such a quality property of the input
data by means of a proper choice of weight matrix. Such a choice is based on a properly designed criterion matrix which is
discussed in detail. Thanks to the weighted Procrustes algorithm, the problem of incorporating the stochasticity measures
of both systems of coordinates involved in the seven parameter datum transformation problem [conformal group ℂ7(3)] which is free of linearization and any iterative procedure can be considered to be solved. Illustrative examples are
given.
Received: 7 January 2002 / Accepted: 9 September 2002
Correspondence to: E. W. Grafarend 相似文献
13.
An iterative solution of weighted total least-squares adjustment 总被引:9,自引:0,他引:9
Total least-squares (TLS) adjustment is used to estimate the parameters in the errors-in-variables (EIV) model. However, its
exact solution is rather complicated, and the accuracies of estimated parameters are too difficult to analytically compute.
Since the EIV model is essentially a non-linear model, it can be solved according to the theory of non-linear least-squares
adjustment. In this contribution, we will propose an iterative method of weighted TLS (WTLS) adjustment to solve EIV model
based on Newton–Gauss approach of non-linear weighted least-squares (WLS) adjustment. Then the WLS solution to linearly approximated
EIV model is derived and its discrepancy is investigated by comparing with WTLS solution. In addition, a numerical method
is developed to compute the unbiased variance component estimate and the covariance matrix of the WTLS estimates. Finally,
the real and simulation experiments are implemented to demonstrate the performance and efficiency of the presented iterative
method and its linearly approximated version as well as the numerical method. The results show that the proposed iterative
method can obtain such good solution as WTLS solution of Schaffrin and Wieser (J Geod 82:415–421, 2008) and the presented numerical method can be reasonably applied to evaluate the accuracy of WTLS solution. 相似文献
14.
In satellite data analysis, one big advantage of analytical orbit integration, which cannot be overestimated, is missed in
the numerical integration approach: spectral analysis or the lumped coefficient concept may be used not only to design efficient
algorithms but overall for much better insight into the force-field determination problem. The lumped coefficient concept,
considered from a practical point of view, consists of the separation of the observation equation matrix A=BT into the product of two matrices. The matrix T is a very sparse matrix separating into small block-diagonal matrices connecting the harmonic coefficients with the lumped
coefficients. The lumped coefficients are nothing other than the amplitudes of trigonometric functions depending on three
angular orbital variables; therefore, the matrix N=B
T
B will become for a sufficient length of a data set a diagonal dominant matrix, in the case of an unlimited data string length
a strictly diagonal one. Using an analytical solution of high order, the non-linear observation equations for low–low SST range data can be transformed into a form to allow the application of the lumped concept.
They are presented here for a second-order solution together with an outline of how to proceed with data analysis in the spectral
domain in such a case. The dynamic model presented here provides not only a practical algorithm for the parameter determination
but also a simple method for an investigation of some fundamental questions, such as the determination of the range of the
subset of geopotential coefficients which can be properly determined by means of SST techniques or the definition of an optimal
orbital configuration for particular SST missions. Numerical results have already been obtained and will be published elsewhere.
Received: 15 January 1999 / Accepted: 30 November 1999 相似文献
15.
Summary . It is well known that for the comparison and combination of geodetic networks their heterogeneous datum definitions are
well to be considered. Various algorithms have been developed for this purpose. As an alternative concept to deal with hybrid
datum problems, the operator parallel sum of matrices is introduced in this paper. To begin with, a definition is given and some basic properties are explained. To demonstrate
the usefulness of the operator, two practical applications are given. The first deals with the estimation of parameters describing
the deformation of two networks which are to be compared to each other. The second one treats the estimation of parameters
representing the heterogeneous datum definitions of two networks which are to be merged into a hybrid network. It will be
shown that – regardless of the datum definitions of the preadjusted individual networks – the parallel sum of matrices can
be used to simplify the algorithms applied for the estimation of those parameters.
Received 15 December 1995; Accepted 24 September 1996 相似文献
16.
Computer algebra solution of the GPS N-points problem 总被引:1,自引:0,他引:1
A computer algebra solution is applied here to develop and evaluate algorithms for solving the basic GPS navigation problem: finding a point position using four or more pseudoranges at one
epoch (the GPS N-points problem). Using Mathematica 5.2 software, the GPS N-points problem is solved numerically, symbolically, semi-symbolically, and with Gauss–Jacobi, on a work station. For the case of N > 4, two minimization approaches based on residuals and distance norms are evaluated for the direct numerical solution and their computational duration is compared. For N = 4, it is demonstrated that the symbolic computation is twice as fast as the iterative direct numerical method. For N = 6, the direct numerical solution is twice as fast as the semi-symbolic, with the residual minimization requiring less computation
time compared to the minimization of the distance norm. Gauss–Jacobi requires eight times more computation time than the direct
numerical solution. It does, however, have the advantage of diagnosing poor satellite geometry and outliers. Besides offering
a complete evaluation of these algorithms, we have developed Mathematica 5.2 code (a notebook file) for these algorithms (i.e., Sturmfel’s resultant, Dixon’s resultants, Groebner basis, reduced
Groebner basis and Gauss–Jacobi). These are accessible to any geodesist, geophysicist, or geoinformation scientist via the
GPS Toolbox () website or the Wolfram Information Center ().
相似文献
Erik W. GrafarendEmail: |
17.
Modern dual-frequency global positioning system (GPS) receivers are capable of providing direct measurements of both L1 C/A (C1) and P code (P1) without the use of the Y-codes under Anti-Spoofing. A discrepancy or bias between the C1 and P1 measurements from these receivers has however been of concern to operators and users of GPS reference networks. For the
purpose of modeling and estimation, the nature and characteristics of the discrepancy must be investigated. The research results
presented indicate that the discrepancy between the C1 and P1 measurements contains two different types of components: one is of constant type while another is time variant. A method
has been developed for their modeling and estimation. The residual C1–P1 time series after a satellite-dependent bias removal agree at a few-centimeter level, indicating the effectiveness of the
proposed model. This allows the C1–P1 discrepancy, both constant and non-constant components, to be removed from GPS reference network solutions. Numerical results
are provided to support the analysis.
Received: 12 October 1999 / Accepted: 11 May 2000 相似文献
18.
Fast transform from geocentric to geodetic coordinates 总被引:3,自引:0,他引:3
T. Fukushima 《Journal of Geodesy》1999,73(11):603-610
A new iterative procedure to transform geocentric rectangular coordinates to geodetic coordinates is derived. The procedure
solves a modification of Borkowski's quartic equation by the Newton method from a set of stable starters. The new method runs
a little faster than the single application of Bowring's formula, which has been known as the most efficient procedure. The
new method is sufficiently precise because the resulting relative error is less than 10−15, and this method is stable in the sense that the iteration converges for all coordinates including the near-geocenter region
where Bowring's iterative method diverges and the near-polar axis region where Borkowski's non-iterative method suffers a
loss of precision.
Received: 13 November 1998 / Accepted: 27 August 1999 相似文献
19.
Apropos laser tracking to GPS satellites 总被引:3,自引:0,他引:3
. Laser tracking to GPS satellites (PRN5 and 6) provides an opportunity to compare GPS and laser systems directly and to combine
data of both in a single solution. A few examples of this are given in this study. The most important results of the analysis
are that (1) daily SLR station coordinate solutions could be generated with a few cm accuracy; (2) coordinates of nine stations
were determined in a 2.3-year-long arc solution; (3) the contribution of laser data on the `SLR-GPS' combined orbit, resulting
from the simultaneous processing of SLR and GPS data, is significant and (4) laser-only orbits have an accuracy of 10–20 cm,
1-day predictions of SLR orbits differ from IGS orbits by about 20–40 cm, 2-day predictions by 50–60 cm.
Received: 1 October 1996 / Accepted: 14 February 1997 相似文献
20.
Ant Sibthorpe Willy Bertiger Shailen D. Desai Bruce Haines Nate Harvey Jan P. Weiss 《Journal of Geodesy》2011,85(8):505-517
The subtle effects of different Global Positioning System (GPS) satellite force models are becoming apparent now that mature
processing strategies are reaching new levels of accuracy and precision. For this paper, we tested several approaches to solar
radiation pressure (SRP) modeling that are commonly used by International GNSS Service (IGS) analysis centers. These include
the GPS Solar Pressure Model (GSPM; Bar-Sever and Kuang in The Interplanetary Network Progress Report 42-160, 2005) and variants of the so-called DYB model (Springer et al. in Adv Space Res 23:673–676, 1999). Our results show that currently observed differences between GPS orbit solutions from the various IGS analysis centers
are in large part explained by differences between their respective approaches to modeling SRP. DYB-based strategies typically
generate orbit solutions that have the smallest differences with respect to the IGS final combined solution, largely because
the DYB approach is most commonly used by the contributing analysis centers. However, various internal and external metrics,
including ambiguity resolution statistics and satellite laser ranging observations, support continued use of the GSPM-based
approach for precise orbit determination of the GPS constellation, at least when using the GIPSY-OASIS software. 相似文献