# Texturizer Node

Sometimes I am color constrained when making graphs if for example the figure will appear in an academic setting (black and white, or basic colors only). So perhaps you might want to create some old school textured shapes.

Here is a sub-network called 'Texturize" that takes a shape and fills it with whatever symbol the user provides from the keyboard - for example . or + or * and so on. The network also accepts a density argument to control how man of the symbols will appear inside the shape.

It works pretty well on what I have tested so far, but certain polygons don't work too well near the edges as effectively the network creates a squared grid inside the polygon to be textured.

If anyone has any other ideas how this could be achieved then please let me know! Thanks

- texturizer.ndbx 6.25 KB
- texture.png 107 KB

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1 Posted by

Roryon 01 Apr, 2015 07:40 AMOne thing I was wondering:

Before I found the Delete node, I was thinking to try to implement this algorithm for seeing if a point on the background grid fell within the bounds of the polygon:

http://en.wikipedia.org/wiki/Point_in_polygon

However I could not think how to do it in Nodebox. It would be simple enough to take a point on the grid, get its y value, and then draw and line from x = -500 to y = 500, maintaining that same value of y, but how to find out where that line intersects the polygon? Anyone have any leads on that?

Support Staff 2 Posted by

johnon 02 Apr, 2015 11:24 AMYou can recover a list of all the inflection points in a polygon by attaching a lookup node, setting the key to "points", and changing the output range of the lookup node from "value" to "list" (via "settings" in the metadata dialog).

Once you have this you can take each pair of adjacent points in turn and reconstruct each line segment of the polygon (remembering that the last point is adjacent to the first). One way of determining whether each segment intersects with your ray from outside is to calculate the slope of the ray r and the line s extending through the segment, put the equation for each line in slope intercept form, and use basic algebra to solve for intersection, that is, solve for r(x) = s(x). (You can make that even easier by choosing a horizontal line for the ray so that r(x)=0.) Unless the two lines are parallel they will intersect somewhere. Once you have that point it's a simple matter to see whether the intersection occurs within the bounds of the original segment, and before the endpoint of the ray. (There is probably an easier way but this is the first thing that came to mind.)

The final outcome will be 0 if false (no intersection within segment bounds) or 1 if true.

Now just repeat for each segment and take the sum of the outcomes. If this number is odd, the point is inside, if even outside.

That's one approach. Perhaps someone else can suggest a simpler method.

John

Support Staff 3 Posted by

johnon 02 Apr, 2015 11:46 AMIncidentally, you can get a cleaner texture fill using the compound node. Create a grid of dots bigger than the shape and adjust dot size and density to your taste. Then hook the shape and the grid of dots to the compound node (set to intersection).

This will give you the interior. To create a nice edge, attach a colorize node to the shape, set its fill to white and its edge width > 0, and feed the colorize node and the compound node (in that order) into a combine node.

NodeBox file and screenshot attached.

For other textures you could make a grid of white touching rectangles to form a cross-hatch pattern, rotate that 45 degrees for another variation, and so on.

This is a fun idea. Now I want to make some old-school textures for my shapes!

John

4 Posted by

Roryon 02 Apr, 2015 12:03 PMJohn, thats very cool!

That was exactly the approach I tried to take first, but I neglected to connect the polygon both to the compound and separately to the combine node. So much simpler. Thanks.....

I think a NodeBox challenge would be a super useful way to learn (for me!). This week texture, next week ???

5 Posted by

Roryon 02 Apr, 2015 12:36 PMThanks!

Support Staff 6 Posted by

johnon 02 Apr, 2015 11:51 PM:)