Interpolation Hanyar: babban iri lissafi mai tsauri da kuma mai aiki da na'urar kwamfuta

A gagarumin yawan ilmin lissafi matsaloli hade tare da gano bayanai rarraba unevenly a sarari. Muna magana ne game bayanai tsarin Gwargwadon mayar da hankali, saboda a gare su shi ne zai yiwu don auna bukata dabi'u a wasu maki. Don warware wadannan matsaloli sau da yawa amfani da daya ko wasu Hanyar interpolation.

definition

Interpolation ne hanyar kirga matsakaici dabi'u ga dabi'u zuwa wani samuwa sa na mai hankali dabi'u. Mafi na kowa hanyoyin da interpolation ne kamar haka: Hanyar da kishiya mai nauyi nesa, da Trend surface da kriging.

Basic hanyoyin da interpolation

Saboda haka, a kusa look at farko hanya, ta ainihi ta'allaka ne a rinjayar da maki cewa ne mafi kusanta zuwa kiyasta dangi zuwa wurin m. Tare da irin wannan interpolation Hanyar ya shafi zabin daga topography a wani unguwa da wani takamaiman batu, yana da mafi girma da tasiri a kan shi. Kamar wancan ne aka zaba iyakar search iyaka ko yawan maki cewa suna located kusa da wani batu. Bugu da ari gyara an ba da nauyi a cikin kowane musamman batu, wanda aka lasafta bisa ga nesa daga wani ba batu. Kawai a cikin wannan hanya za a iya cimma ta bayar da gagarumar gudunmawa mafi kusa batu a cikin fassara tsawo a lokacin da idan aka kwatanta da maki nĩsa daga saitin.

Na biyu interpolation Hanyar da aka yi amfani da lokacin da akwai riba to masu bincike general yayi surface. Hakazalika to na farko Hanyar for Trend ma'ana a iya amfani, wanda suke a cikin wani qaddara surface. Inda za ka gina da yawa daga cikin mafi kyau kimantawa dogara ne a kan ilmin lissafi lissafai (polynomials ko splines). A general, yi amfani da hanyar na kalla murabba'ai dangane da lissafai na maras mike dependencies. The hanyar dogara ne a kan ya maye gurbin masu lankwasa da sauran siffofin na lamba jerin rubuta sauki. Don shirya da Trend in kowane darajar da surface dole a sauya a cikin lissafi. A sakamakon haka ne na musamman darajar sanya wa fassara bayani (batu). Gama dukan sauran wuraren aiwatar ci gaba.

Wani interpolation Hanyar sama, kriging interpolation hanya azurta ingantawa, shan a matsayin dalilin da ilimin kididdiga yanayin da surface.

Amfani da quadratic interpolation

Akwai wani kayan aiki domin sanin takamaiman maki - Hanyar quadratic interpolation, jigon wanda yake maye aiki a wani lokaci na wani quadratic parabola. Kamar wancan ne ta extremum da aka lasafta analytically. Bayan kimanin wurinka (m ko matsakaicin) dole ne a kafa wani tazara da dabi'u, sa'an nan bincika gano wani bayani don ci gaba. Ta wajen yin wannan hanya sake, shi ne zai yiwu, ta amfani da wani iterative hanya zuwa tata da darajar wannan lissafi to sakamakon da qaddara daidaito a cikin matsala halitta.