1. A method comprising: causing an animation rig to be displayed in a plurality of reference poses, the animation rig having a pose deformation in each pose; receiving refinement deformations for each reference pose; mapping, using one or more processors each refinement deformation to a respective point in n-dimensional space; building, using the one or more processors, an initial complex in the n-dimensional space comprising a mesh of simplices, each corner of each simplex associated with one of the deformations; identifying, using the one or more processors, a property of a simplex of the initial complex; creating, using the one or more processors, and responsive to identifying a property of the initial complex, an additional reference pose having an associated refinement deformation and an associated point in the n-dimensional space; and building, using the one or more processors, a complex from the initial complex and the additional reference pose such that no simplex of the complex has the identified property.