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S-CODE: A Subdivision Based Coding System for CAD Models
Subdivision surfaces Surface fitting Approximation Data compression
2009/8/19
A large scale polygon models are often used to approximately represent 3D CAD models in Digital Engineering environment such as DMU (Digital Mockups) and network based collaborative design. However, t...
Parallel Generation of NC Tool Paths for Subdivision Surfaces
Subdivision surface NC tool path S-Buffer
2009/8/19
The subdivision surface is the limit of recursively refined polyhedral mesh. It is quite intuitive that the multi-resolution feature can be utilized to simplify generation of NC (Numerical Control) to...
Estimating Recursion Depth for Loop Subdivision
Loop surface subdivision recursion depth arbitrary topology bound
2009/8/19
In this paper, an exponential bound of the distance between a Loop subdivision surface and its control mesh is derived based on the topological structure of the control mesh. The exponential bound is ...
A Controllable Ternary Interpolatory Subdivision Scheme
ternary subdivision interpolation Ck-continuity shape controllability
2009/8/19
A non-uniform 3-point ternary interpolatory subdivision scheme with variable subdivision weights is introduced. Its support is computed. The C0 and C1 convergence analysis are presented. To elevate it...
Generalized Scheme for the Interpolation of Arbitrarily Intersecting Curves by Catmull-Clark Subdivision Surfaces
Subdivision Surfaces Interpolation Polygonal Complexes
2009/8/19
This paper presents a scheme for interpolating intersecting uniform cubic B-spline curves by Catmull-Clark subdivision surfaces. The curves are represented by polygonal complexes and the neighborhoods...
Inscribed Approximation based Adaptive Tessellation of Catmull-Clark Subdivision Surfaces
subdivision Catmull-Clark surfaces tessellation surface evaluation
2009/8/19
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 su...