hugoledoux
commented
1 year ago thanks for reporting this.
$|ab|$ is the distance between 2 points ( $a$ and $b$), but there those should be interpreted as generic variables. In our specific case, $a=x$ and $b=p_i$
Hi, I think I may have found a small oversight in the book.
In the terrainbook under 5.3.2 there's a formula for Inverse Distance Weighting which is explained as follows:
"The weight 𝑤𝑖 (𝑥) assigned to each 𝑝𝑖 for a location 𝑥 is: 𝑤𝑖 (𝑥) = |𝑥 𝑝𝑖 |^−ℎ where ℎ defines the power to be used, and |𝑎𝑏| is the distance between two points 𝑎 and 𝑏."
Having looked further in the text, I can't find any reference to the "|𝑎𝑏|" and not in the formula given itself either, unless it is meant to be understood implicitly. I thought it wise to create an issue regarding this in case it isn't.
I hope this feedback is useful. Thanks for making the terrainbook openly available and for your time in making it.