BIB-VERSION:: CS-TR-v2.0
          ID:: STAN//CSL-TR-98-752
       ENTRY:: July 21, 1998
ORGANIZATION:: Stanford University, Computer Systems Laboratory
       TITLE:: Smoothness of Stationary Subdivision on Irregular Meshes
        TYPE:: Technical Report
      AUTHOR:: Zorin, Denis
        DATE:: January 1998
       PAGES:: 31
    ABSTRACT:: We derive necessary and sufficient conditions for tangent plane 
and C(superscript k)-continuity of stationary subdivision schemes near
extraordinary vertices.  Our criteria generalize most previously known
conditions.  We introduce a new approach to analysis of subdivision
surfaces based on the idea of the universal surface. Any subdivision
surface can be locally represented as a projection of the universal surface,
which is uniquely defined by the subdivision scheme.  This approach provides 
us with a more intuitive geometric understanding of subdivision near 
extraordinary vertices.
       NOTES:: [Adminitrivia V1/Prg/19980121]
         END:: STAN//CSL-TR-98-752