Proyeksi stereografik

Ilustrasi 3D dari proyeksi stereografi dari kutub utara pada bidang bagian bawah bola

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

Beberapa bidang lain yang memiliki kaitan dengan proyeksi stereografik, antara lain kartografi, ilmu planet, kristalografi, geologi, dan fotografi.

Referensi

Sumber

• 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

• 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

• Proof about Stereographic Projection taking circles in the sphere to circles in the plane
• Time Lapse Stereographic Projection on Vimeo

Perangkat lunak

• 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

Panorama planet mini

• Examples of miniplanet panoramas, majority in UK Diarsipkan 2010-07-08 di Wayback Machine.
• Examples of miniplanet panoramas, majority in Czech Republic
• Examples of miniplanet panoramas, majority in Poland Diarsipkan 2021-04-18 di Wayback Machine.