# Point Distance Falloff¶

## Description¶

This node creates a vector based falloff that associates to every object a float that is equal to inverse the distance to some point. This float is always in `[0,1]` range, So some distances will be clamped to `1` or `0`. We conclude that objects that are closer to the input point will have a large float that doesn’t exceed `1` and as objects gets away, their floats starts to fade till it becomes zero at some point. ## Illustration¶

In this illustration, I set the z-position of the points of a line to their falloff floats which formed some kind of triangle. As we said, the float is equal to inverse the distance from the point to some arbitrary point which I defined as the `(0,0,0)` point in this illustration. Let the distance be `D`, then inverse of the distance is `1-D`. So point `(0,0,0)` will have a `D` of `0` (because distance between `(0,0,0)` and `(0,0,0)` is zero) and a `1-D=1-0=1`, that’s why the point in the middle have a z-location of `1`. Point `(1,0,0)` on the other hand have a `D` of `1` and a `1-D=1-1=0` , that’s why the point at `(1,0,0)` has a z-location of zero. Points further away will have a negative inverse distances and thus negative z-locations. But as we said, values are clamped to `[0,1]` range and so negative floats will be zeroes and floats larger than one will be equal ones (We currently don’t have values larger than one).

What I am going to do is add some value to the floats which result in inverse distances larger than one which will then be clamped to one, since the inverse distance is the z-location of the points, adding a value to the float will result in moving the triangle in the z-direction. The illustration shows what happens when this value is added when clamping is present.

Furthermore, multiplying the floats by some value will change the rate of changing of the floats and thus have a wider based triangle, which is shown in the illustration as scaling the triangle which is what multiplication graphically denote.

In the node inputs, input Offset is the value that gets added while input Width is the value that gets multiplied.

Shaded area is the actual points position after clamping, outline is the values before clamping. Notice how outline exceed one and deceed zero: ## Inputs¶

• Origin - The position of the point.
• Offset - This float is added to the floats of every object. It acts as an offset for the distances.
• Falloff Width - A float that is multiplied by the floats, can be though of as the slope of decreasing.

## Outputs¶

• Falloff - The actual falloff object. 