Boolean Operations On A Svg Pathstring
Solution 1:
There is a JavaScript library that allows for boolean operations on SVG paths under the condition that the path is a polygon. Using a high enough sampling, the beziers can be polygonized to such a high quality that the visual result is almost identical to a true curve.
The library is called JavaScript Clipper and it is a port of Angus Johnson's Clipper (written in Delphi, C++, C# and Python), which in turn is based on Bala R. Vatti's clipping algorithm. It is able to handle all polygon cases, including the self-intersecting ones. The library has many extra functions, including all of the boolean operations and a node lightening algorithm for reducing the node count.
Solution 2:
If you need to create new geometric shapes that consist of a number of other shapes intersected, unioned and so on you'll either have to handle it yourself in script, or use a vector graphics editor (Inkscape and Illustrator both offer this functionality) to do this for you.
Solution 3:
The equivalent of globalCompositeOperation is the feComposite filter in SVG. Here's an example that looks similar to this in canvas which works in Opera.
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