منابع مشابه
Explicitly computing geodetic coordinates from Cartesian coordinates
This paper presents a new form of quartic equation based on Lagrange’s extremum law and a Groebner basis under the constraint that the geodetic height is the shortest distance between a given point and the reference ellipsoid. A very explicit and concise formulae of the quartic equation by Ferrari’s line is found, which avoids the need of a good starting guess for iterative methods. A new expli...
متن کاملTransforming Geocentric Cartesian Coordinates to Geodetic Coordinates by a New Initial Value Calculation Paradigm
Transforming geocentric Cartesian coordinates (X, Y, Z) to geodetic curvilinear coordinates (φ, λ, h) on a biaxial ellipsoid is one of the problems used in satellite positioning, coordinates conversion between reference systems, astronomy and geodetic calculations. For this purpose, various methods including Closed-form, Vector method and Fixed-point method have been developed. In this paper, a...
متن کاملAlternative transformation from Cartesian to geodetic coordinates by least squares for GPS georeferencing applications
The inverse transformation of coordinates, from Cartesian to curvilinear geodetic, or symbolically (x,y,z)-(l,j,h) has been extensively researched in the geodetic literature. However, published formulations require that the application must be deterministically implemented point-by-point individually. Recently, and thanks to GPS technology, scientists have made available thousands of determinat...
متن کاملGeodesic equations and their numerical solutions in geodetic and Cartesian coordinates on an oblate spheroid
The direct geodesic problem on an oblate spheroid is described as an initial value problem and is solved numerically in geodetic and Cartesian coordinates. The geodesic equations are formulated by means of the theory of differential geometry. The initial value problem under consideration is reduced to a system of first-order ordinary differential equations, which is solved using a numerical met...
متن کاملGeodetic Mass Balance of the Northern Patagonian Icefield from 2000 to 2012 Using Two Independent Methods
We compare two independent estimates of the rate of elevation change and geodetic mass balance of the Northern Patagonian Icefield (NPI) between 2000 (3,856 km2) and 2012 (3,740 km2) from space-borne data. The first is obtained by differencing the Shuttle Radar TopographyMission (SRTM) digital elevationmodel (DEM) from February 2000 and a Satellite pour l’Observation de la Terre 5 (SPOT5) DEM f...
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ژورنال
عنوان ژورنال: Journal of the Japan society of photogrammetry and remote sensing
سال: 1999
ISSN: 0285-5844,1883-9061
DOI: 10.4287/jsprs.38.3_76