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The ability to control boundary behaviors is critical for the subdivision surface to become a useful representation in computer aided geometric design. Previous methods achieve boundary control by extending the boundary vertices of the control mesh, or by applying different subdivision rules to the boundary edges and vertices. This paper presents an open uniform quadratic subdivision scheme derived from the subdivision of open uniform B-spline surfaces. For meshes with 4-sided boundary and corner faces, the cross-tangent along the boundary curves can also be derived. The proposed scheme leads to a straightforward boundary control that enables two subdivision surfaces to be joined with C⁰ and C¹-continuity.

Keywords: geometric modeling, subdivision surfaces, boundary control, ???parametric surfaces, blending surfaces

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Received December 24, 2001; revised October 14, 2002; accepted December 12, 2002.
Communicated by Yung-Nien Sun.
^*Presented in 1998 workshop on computer graphic.