Title

Degree Elevation And Reduction Of Periodic Surfaces

Keywords

Computer-aided nano-design; Implicit surface; Periodic surface; Surface approximation

Abstract

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. © 2008 CAD Solutions, LLC.

Publication Date

1-1-2008

Publication Title

Computer-Aided Design and Applications

Volume

5

Issue

6

Number of Pages

841-854

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.3722/cadaps.2008.841-854

Socpus ID

70449678553 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/70449678553

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