Hughes Hoppe has done a variety of research that depends on finding interesting parameterizations of meshes. His papers aren't exactly lightweight on the math,

Hughes Hoppe has done a variety of research that depends on finding interesting parameterizations of meshes. His papers aren't exactly lightweight on the math, but you may find some ideas there: http://research.microsoft.com/en-us/um/people/hoppe/ http://research.microsoft.com/en-us/um/people/hoppe/ http://research.microsoft.com/en-us/um/people/hoppe/proj/vfdesign/ http://research.microsoft.com/en-us/um/people/hoppe/proj/vfd... http://research.microsoft.com/en-us/um/people/hoppe/proj/lapped/ http://research.microsoft.com/en-us/um/people/hoppe/proj/lap...