Composite Developable Alternative Surfaces

Authors

  • Weng Kang Yeoh
  • Jamaludin Md Ali

DOI:

https://doi.org/10.11113/matematika.v28.n.571

Abstract

Developable alternative patches is introduced as a choice in the design of developable surfaces. This paper extends the previous work by joining consecutive alternative patches subject to various continuity conditions. With a first boundary curve freely specified, $2n + 3, n + 4$ and 5 DOF's are available for a second boundary curve of a developable alternative surface containing $n$ patches, when the surface is $G^0, G^1$ and $C^1$ continuity, respectively. The composite surfaces are then evaluated by using highlight lines, which effectively in detecting surface irregularities. Keywords: Developable surfaces; degrees of freedom; highlight lines 2010 Mathematics Subject Classification: 65D10, 65D17

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Published

01-11-2012

Issue

Volume 28 (December 2012)

Section

Analysis and Algebra

License

Copyright of articles that appear in MATEMATIKA: MJIAM belongs exclusively to Penerbit UTM Press, Universiti Teknologi Malaysia. This copyright covers the rights to reproduce the article, including reprints, electronic reproductions or any other reproductions of similar nature.

How to Cite

Composite Developable Alternative Surfaces. (2012). MATEMATIKA, 28, 161-171. https://doi.org/10.11113/matematika.v28.n.571