A Convolution-Based Computational Technique for Subdivision Depth of Doo-Sabin Subdivision Surface

Faheem Khan, Bushra Shakoor, Ghulam Mustafa, Sidra Razaq and R. U. Gobithaasan

Journal of Mathematics, 2022, vol. 2022, 1-12

Abstract: Subdivision surface schemes are used to produce smooth shapes, which are applied for modelling in computer-aided geometric design. In this paper, a new and efficient numerical technique is presented to estimate the error bound and subdivision depth of the uniform Doo-Sabin subdivision scheme. In this technique, first, a result for computing bounds between Pk (a polygon at kth level) and P∞ (limit surface) of the Doo-Sabin scheme is obtained. After this, subdivision depth (the number of iterations) is computed by using the user-defined error tolerance. In addition, the results of the proposed technique are verified by taking distinct valence numbers of the Doo-Sabin surface scheme.

Date: 2022
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/jmath/2022/2510204.pdf (application/pdf)
http://downloads.hindawi.com/journals/jmath/2022/2510204.xml (application/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:2510204

DOI: 10.1155/2022/2510204

Access Statistics for this article

More articles in Journal of Mathematics from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().