Degree Elevation and Reduction of Periodic Surfaces
نویسنده
چکیده
Recently we developed a periodic surface model to assist the construction of nano structures parametrically for computer-aided nano-design. In this paper, we study the properties of periodic surfaces for degree elevation and reduction. Degree elevation approaches are developed to incrementally increase shape complexities, including native, variational, and boundary constrained elevations. A generic degree reduction operation is defined for surface approximation based on an algebraic distance. The goal is to enhance the flexibility of the periodic surface model and allow for multi-resolution representation.
منابع مشابه
Degree Operations on Periodic Surfaces
ABSTRACT In previous work, a periodic surface model for computeraided nano-design (CAND) was developed. This implicit surface model can construct Euclidean and hyperbolic nano geometries parametrically and represent morphologies of particle aggregates and polymers. In this paper, we study the characteristics of degree elevation and reduction based on a generalized periodic surface model. Method...
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