Pla-Garcia, N.2014-10-212014-10-2119941467-8659https://doi.org/10.1111/1467-8659.1340189The Face Octrees are a representation scheme which is very suitable to represent both smooth free form surfaces and solids with smooth boundary, as well as, to perform operations among them. However, the Face Octree representation is non continuous, thus an algorithm to convert this model to a boundary representation can be necessary. The conversion algorithm makes the advantages of this scheme really significant. The current paper is involved in the conversion from the Face Octrees model to a smooth boundary representation. However, first the planar case is treated.Recovering a Smooth Boundary Representation from an Edge Quadtree and from a Face Octree10.1111/1467-8659.1340189189-198