Double Linear Interpolation

Delta

x = s - s₀, 0 leq

leq

Delta

x

leq

1

Delta

y = l - l₀, 0 leq

leq

Delta

y

leq

1
s₁ = s₀ + 1, l₁ = l₀ + 1
DN(s,l₀) = DN(s₀,l₀) + Delta

Delta

x · (DN(s₁,l₀)-DN(s₀,l₀))
DN(s,l₁) = DN(s₀,l₁) + Delta

Delta

x · (DN(s₁,l₁)-DN(s₀,l₁))
DN(s,l) = DN(s,l₀) + Delta

Delta

y · (DN(s,l₁) - DN(s,l₀))
or
DN(s,l) = DN(s₀,l₀)

+

Delta

x · (DN(s₁,l₀)-DN(s₀,l₀))

+

Delta

y · (DN(s₀,l₁)-DN(s₀,l₀))

+

Delta

x

Delta

y · (DN(s₁,l₁) + DN(s₀,l₀) - DN(s₀,l₁) - DN(s₁,l₀))