How to weave a basket:
http://www.primitiveways.com/basketry2.html
http://tinyurl.com/y8zejce
HTH
One way would be to make large woven "mat" on a flat surface, then wrap it around the cake. Otherwise, you are going to have the vertical pieces hanging and needing support while placing the horizontal slats.. Keeping it flat, you could also keep it covered with plastic wrap as you go so it won't dry out as much.
Use a tape measure or string to measure the circumference of the cake, then make your rectangle that # by the height of the tier (maybe add a little to allow for trimming after).
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