Re-caning furniture
At one time caning of chairs and furniture was an art form to get the cane pattern precise and taught but no more. Caning replacements are mass produced in sheets available in some hardware stores and most craft stores.
After measuring the size of the existing cane add two inches (minimum) in both directions to account for mounting methods. Typically cane is held in place by a backer rod or fits inside a strecher loom.
If the securing technique is a backer rod simply place the cane sheet over the opening and space equally over all sides. The flexible backer rod fits in a slot in the furniture piece so locate the slot and begin a the most visible spot of the cane and drive the backer rod into the slot being careful not to fold or crease the cane. At this time I cut several small pieces of the backer rod and drive them into the slot equally around the cane opening, securing the cane into position as I go back the the main backing rod and continue to drive the rod into the slot working your way around the piece.
As you come to the small pieces of backer rod remove them and continue with the main backer rod. When the piece has been completely installed cut the backer rod so the entire rod will fit into the slot. Typically the slot and backer rod is covered with a piece of wood configured to fit the perimeter to the cane. Re-installing the finish piece will complete the project.
Similarily strecher looms are used in some cane applications. These looms are very similar to the looms used for embroidery or making rugs. The cane is laid over the smaller loom and the outer loom is pressed over the cane and tightened to secure the cane between the two looms. Here again a finished piece of wood typically covers the loom to give a clean finished appearence.
You may finish the cane with stain or leave in a natural color.
This is a fairly easy project once you have located the source of the cane material. Let us know how your project goes.