Subdivision Depth Computation for Extra-Ordinary Catmull-Clark Subdivision Surface Patches

Matrix Based Subdivision Depth Computation for Extra-Ordinary Catmull-Clark Subdivision Surface Patches

A new subdivision depth computation technique for extraordinary Catmull-Clark subdivision surface (CCSS) patches is presented. The new technique improves a previous technique by using a matrix representation of the second order norm in the computation process. This enables us to get a more precise estimate of the rate of convergence of the second order norm of an extra-ordinary CCSS patch and, ...

Catmull-Clark Subdivision Surfaces with Smoother Extra-ordinary Points

Subdivision surfaces have become popular recently in graphical modeling, animation and CAD/CAM because of their capability in capability in modeling/representing complex shape of arbitrary topology [5]. See Figure 1(b) for the representation of a ventilation control component with a single subdivision surface. The control mesh of the surface is shown in (a). The ventilation control component ha...

Approximating catmull-clark subdivision surfaces with bicubic patches

Inscribed Approximation based Adaptive Tessellation of Catmull-Clark Subdivision Surfaces

Catmull-Clark subdivision scheme provides a powerful method for building smooth and complex surfaces. But the number of faces in the uniformly refined meshes increases exponentially with respect to subdivision depth. Adaptive tessellation reduces the number of faces needed to yield a smooth approximation to the limit surface and, consequently, makes the rendering process more efficient. In this...

Adaptive Rendering of Catmull-Clark Subdivision Surfaces based on Inscribed Approximation

Subdivision provides a powerful scheme for building smooth and complex surfaces. But the number of faces in the uniformly refined meshes increases exponentially with respect to subdivision depth. Adaptive rendering reduces the number of faces needed to yield a smooth approximation to the limit surface and, consequently, makes the rendering process more efficient. In this paper, we present a new...