Proyeksi stereografik
Dalam geometri, proyeksi stereografik adalah sebuah pemetaan khusus (fungsi) yang memproyeksi sebuah bola dalam sebuah bidang. Proyeksi tersebut meliputi seluruh bola, kecuali satu titik: titik proyeksi.
Aplikasi dalam bidang lain
suntingBeberapa bidang lain yang memiliki kaitan dengan proyeksi stereografik, antara lain kartografi, ilmu planet, kristalografi, geologi, dan fotografi.
Referensi
suntingSumber
sunting- Apostol, Tom (1974). Mathematical Analysis (edisi ke-2). Addison-Wesley. ISBN 0-201-00288-4.
- Brown, James & Churchill, Ruel (1989). Complex variables and applications. New York: McGraw-Hill. ISBN 0-07-010905-2.
- Casselman, Bill (2014), Feature column February 2014:Stereographic Projection, AMS, diakses tanggal 2014-12-12
- German, Daniel; Burchill, L.; Duret-Lutz, A.; Pérez-Duarte, S.; Pérez-Duarte, E.; Sommers, J. (June 2007). "Flattening the Viewable Sphere". "Proceedings of Computational Aesthetics 2007". Banff: Eurographics. hlm. 23–28.
- Gelfand, I.M.; Minlos, R.A.; Shapiro, Z.Ya. (1963), Representations of the Rotation and Lorentz Groups and their Applications, New York: Pergamon Press
- Do Carmo; Manfredo P. (1976). Differential geometry of curves and surfaces. Englewood Cliffs, New Jersey: Prentice Hall. ISBN 0-13-212589-7.
- Elkins, James (1988). "Did Leonardo Develop a Theory of Curvilinear Perspective?: Together with Some Remarks on the 'Angle' and 'Distance' Axioms". Journal of the Warburg and Courtauld Institutes. The Warburg Institute. 51: 190–196. doi:10.2307/751275. JSTOR 751275.
- Oprea, John (2003). Differential geometry and applications. Englewood Cliffs, New Jersey: Prentice Hall. ISBN 0-13-065246-6.
- Pedoe, Dan (1988). Geometry. Dover. ISBN 0-486-65812-0.
- Shafarevich, Igor (1995). Basic Algebraic Geometry I. Springer. ISBN 0-387-54812-2.
- Snyder, John P. (1987). Map Projections − A Working Manual, Professional Paper 1395. US Geological Survey.
- Snyder, John P. (1989). An Album of Map Projections, Professional Paper 1453. US Geological Survey.
- Snyder, John P. (1993). Flattening the Earth. University of Chicago. ISBN 0-226-76746-9.
- Spivak, Michael (1999). A comprehensive introduction to differential geometry, Volume IV. Houston, Texas: Publish or Perish. ISBN 0-914098-73-X.
Pranala luar
sunting
Wikimedia Commons memiliki media mengenai Stereographic projection.
- Weisstein, Eric W. "Stereographic projection". MathWorld.
- Stereographic Projection Diarsipkan 2013-03-10 di Wayback Machine. on PlanetMath
- Stereographic Projection and Inversion from Cut-the-Knot
- DoITPoMS Teaching and Learning Package - "The Stereographic Projection"
Video
sunting- Proof about Stereographic Projection taking circles in the sphere to circles in the plane
- Time Lapse Stereographic Projection on Vimeo
Perangkat lunak
sunting- Free and open source python program for stereographic projection - PTCLab
- Sphaerica software is capable of displaying spherical constructions in stereographic projection
- Three dimensional Java Applet