Triangular DP surface and its applications
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Publication Details
Author list: Krungkarnchana P., Dejdumrong N.
Publisher: American Scientific Publishers
Publication year: 2013
Journal: Advanced Science Letters (1936-6612)
Volume number: 19
Issue number: 5
Start page: 1367
End page: 1371
Number of pages: 5
ISSN: 1936-6612
eISSN: 1936-7317
Languages: English-Great Britain (EN-GB)
Abstract
In the proposed model for triangular DP surfaces provided in Ref. [6] it has been found that there is an inappropriate property in its recurrence formulae. It is lack of convexity, i.e., the summation of blending functions is not equal to one. This paper presents a new approach to the construction of triangular DP surfaces that possesses recurrence formulae, and its recursive evaluation algorithm. Some degree elevation and conversion formulae are given. The convexity property and the quadratic evaluation complexity are also derived. It is shown that this model of triangular DP surfaces is obviously more efficient than previous model. ฉ 2013 American Scientific Publishers All rights reserved.
Keywords
Triangular DP surface