The optimal Mercator projection and the optimal polycylindric projection of conformal type - case-study Indonesia

Grafarend, Erik W.; Syffus, Rainer

doi:10.1007/s001900050165

Cited by 20 publications

(3 citation statements)

References 1 publication

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Finzi (1922) Three-dimensional conformal mapping, generalized Korn-Lichtenstein equations: n = 3. Grafarend and Syffus (1998c) n-dimensional conformal mapping, generalized Korn-Lichtenstein equations. Gauss (1816-1827-1827) Classical contribution on conformal mapping of the ellipsoid-of-revolution.…”

Section: -10 Two Examples: Mercator Projection and Stereographic Promentioning

confidence: 99%

See 1 more Smart Citation

Map Projections

Grafarend¹,

You²,

Syffus³

2014

View full text Add to dashboard Cite

Section: -10 Two Examples: Mercator Projection and Stereographic Promentioning

confidence: 99%

“…Papers are Airy (1861), Francula (1971), Grafarend (1995), Grafarend (1984), Grafarend and Syffus (1998c), Hojovec and Jokl (1981), Jordan (1875, 1896), Kaltsikis (1980), Kavrajski (1958). …”

Section: -3 Optimal Cylinder Projectionsmentioning

confidence: 99%

Map Projections

Grafarend¹,

You²,

Syffus³

2014

View full text Add to dashboard Cite

“…For the original contribution with respect to conformal cylindrical map projections we refer to Mercator and his standard and transverse map projections of the reference sphere and reference ellipsoid [11]. The Mercator cylindrical map projection was further developed by Engels and Grafarend [1] to the form of the oblique Mercator map projection of the reference ellipsoid and by Grafarend [3] and Grafarend and Syffus [5] to the form of the optimal polycylindric Mercator map projection. In contrast to the previous contributions we present a conformal cylindrical map projection, as our second cylindrical map projection, which, is generated by a cylinder that intersects the reference ellipsoid along a parallel passing through the point of interest.…”

Section: Introductionmentioning

confidence: 99%

New Cylindrical Equal Area and Conformal Map Projections of the Reference Ellipsoid for Local Applications

Safari¹,

Ardalan²

2007

Survey Review

View full text Add to dashboard Cite

Two new cylindrical map projections of the reference ellipsoid have been developed. The first cylindrical map projection possesses the property of preserving the areas of ellipsoidal surfaces. In other words, it is an "equal area cylindrical map projection of the reference ellipsoid". The origin of this map projection system can be placed at any point on the surface of the reference ellipsoid and as such the map projection could be ideal for localized applications, where minimum distortion is required. This map projection is recommended for implementation in Land Information Systems and/or cadastres, where the area of the land has to be preserved on the mapping surface. The second cylindrical map projection is conformal but, like the first map projection has the property that its origin can be placed at the point of interest. This property, which is common in both map projection systems, makes it possible that the centre of the map projection system be placed at the middle of geographical area of interest to minimize the distortion at that specific area. Besides, since the map projections have been developed for the reference ellipsoid it is possible to directly transfer the GPS coordinates into the mapping surface, which adds to the practical applications of the two map projections systems.

show abstract

Theory of Map Projection: From Riemann Manifolds to Riemann Manifolds

Grafarend

2014

Handbook of Geomathematics

View full text Add to dashboard Cite

The optimal Mercator projection and the optimal polycylindric projection of conformal type - case-study Indonesia

Cited by 20 publications

References 1 publication

Map Projections

Map Projections

New Cylindrical Equal Area and Conformal Map Projections of the Reference Ellipsoid for Local Applications

Theory of Map Projection: From Riemann Manifolds to Riemann Manifolds

Contact Info

Product

Resources

About