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İNTERPOLATİON
(ENTERPOLASYON)
Öznitelik değerleri bilinen noktalardan
hareketle, bilinmeyen noktaların
özniteliklerinin bulunması işlemidir.
Ara değer kestirme işlemidir.
İki ana yaklaşımı vardır;
1. Değeri bilinen
noktaların etki alanı
bulunarak, etki
alanına göre öznitelik
atanması
2. Alan hücrelere bölünür
ve her hücrenin orta
noktası için hesaplama
yapılır ve bilinmeyen
değerlere ulaşılır.
Birinci yaklaşım Voronoi poligonlarına dayanan bir
yaklaşımdır ve bilinen noktaların etki alanlarının
sınırlarının oluşturulması ile ortaya çıkar.
İkinciyaklaşımisekullanılanmatematikselfonksiyonlaragöre2yeayrılır.
Deterministik Modeller
1.Ters Mesafe
Ağırlıklı (İnverse Distance
Weight-IDW)
2.Global Polinom
3.Lokal Polinom
4.Radyal Temel Fonksiyonlar
Stokastik Modeller
1.Simple Kriging
2.Ordinary Kriging
3.Universal Kriging
4.Blok Kriging
5.Co-Kriging
IDW
En basit ve en fazla kullanılan enterpolasyon metodudur.
Bilinen noktanın;
Yakınındaki noktaya daha fazla ağırlık verirken,
Uzağındaki noktaya daha az ağırlık verir.
Mesafenin karesi ile ters orantılı
yöntem kullanılır.
A=0.2
B=0.3
C=0.5
X=1
Y=2
Z=4
?
W(A)= 1
1/2
1(1/2)+2(1/2)+4(1/2)
16/21
W(B) =4/21
W(C) =1/21
Bulduğumuz değerler ile noktaların ağırlığı
çarpıyoruz, bilinmeyeni bulmak için.
?=16/21*0.2+4/21*0.3+1/21*0.5=0.233

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