Geodézia I. - NymE GEO portál

Síkbeli koordináta transzformációk - affin transzformáció
Méretarány figyelembevétele
s Y
=
j
j '
s X
=
i
i '
Így:
Y = r
X = r
⋅ j = r ' ⋅
j =
⋅ i = r ' ⋅ i =
( Y ' ⋅ j ' + X ' ⋅ i ')
⋅ j = Y ' ⋅ s
Y
⋅ j ' ⋅ j + X ' ⋅ s
X
⋅ i ' ⋅ j
( Y ' ⋅ j ' + X ' ⋅i
') ⋅i
= Y ' ⋅ s ⋅ j ' ⋅i
+ X ' ⋅ s ⋅ i ' ⋅ i
Y
X
Azaz:
Y = Y ' ⋅ s
X = Y ' ⋅ s
Y
Y
⋅ cos
⋅ sin
( α + ϕ)
- X ' ⋅s
X
⋅ sinα
( α + ϕ) + X ' ⋅s
⋅ cosα
X
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