… A subdivision … surface of arbitrary topological type interpolating a given net of smooth curves.
The algorithm belongs to a new class of subdivision schemes called combined subdivision …

… strictly C1 finite-element interpolation schemes using subdivision surfaces. We begin with a
… results pertaining to subdivision surfaces. The application of subdivision surfaces to the finite-…

… The fitting criterion ensures that the resulting subdivision surface interpolates the corresponding
limit positions of the current control mesh. Since only a subset of vertices of the initial …

… In Section 2, we present the concept of progressive interpolation for Loop subdivision
surfaces on closed meshes. In Section 3, we prove the convergence of this iterative interpolation …

… In Section 2, we describe the weighted progressive construction of a subdivision surface
that interpolates vertices of the input mesh. We prove that the progressive interpolation process …

… for constructing a Catmull-Clark subdivision surface that interpolates the vertices of a … to
generate a new control mesh whose limit surface interpolates all vertices in the original mesh. …

… In contrast we extend quasi-interpolation to subdivision surfaces with details, which allows
for a uniform treatment of local displacements throughout the hierarchy and guarantees …

… ways to interpolate a given mesh with a subdivision surface: interpolating subdivision [3,
7, 8… In the first case, a subdivision scheme that interpolates the control vertices, such as the …

… surface where the surface interpolates the crease network. In addition, this description for
adding creases is independent of the subdivision … in terms of linear subdivision and averaging. …

… mesh of a subdivision surface. This paper extends the use of this approach to interpolate
an unlimited number of curves meeting at an extraordinary point on a subdivision surface. At …