A butterfly subdivision scheme for surface interpolation with tension control
ACM Transactions on Graphics (TOG)
Subdivision Methods for Geometric Design: A Constructive Approach
Subdivision Methods for Geometric Design: A Constructive Approach
A subdivision algorithm for generating rational curves
Journal of Graphics Tools
Composite primal/dual √3-subdivision schemes
Computer Aided Geometric Design
√2 Subdivision for quadrilateral meshes
The Visual Computer: International Journal of Computer Graphics
A Factored Approach to Subdivision Surfaces
IEEE Computer Graphics and Applications
On subdivision schemes generalizing uniform B-spline surfaces of arbitrary degree
Computer Aided Geometric Design
A unified framework for primal/dual quadrilateral subdivision schemes
Computer Aided Geometric Design
A subdivision scheme for surfaces of revolution
Computer Aided Geometric Design
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This paper presents an approach for embedding regular analytic shapes within subdivision surfaces. The approach is illustrated through the construction of compound Spherical-Catmull-Clark subdivision surfaces. It starts with a subdivision mechanism that can generate a perfect sphere. This mechanism stems from the geometric definition of the sphere shape. Thus, it comes with a trivial proof that the target of the construction is what it is. Furthermore, the similarity of this mechanism to the Catmull-Clark subdivision scheme is exploited to embed spherical surfaces within Catmull-Clark Surfaces, which holds a great potential for many practical applications.