An efficient bivariate basis for triangular patch modeling
บทความในวารสาร
ผู้เขียน/บรรณาธิการ
กลุ่มสาขาการวิจัยเชิงกลยุทธ์
ไม่พบข้อมูลที่เกี่ยวข้อง
รายละเอียดสำหรับงานพิมพ์
รายชื่อผู้แต่ง: Dejdumrong N.
ผู้เผยแพร่: American Scientific Publishers
ปีที่เผยแพร่ (ค.ศ.): 2013
วารสาร: Advanced Science Letters (1936-6612)
Volume number: 19
Issue number: 5
หน้าแรก: 1500
หน้าสุดท้าย: 1505
จำนวนหน้า: 6
นอก: 1936-6612
eISSN: 1936-7317
ภาษา: English-Great Britain (EN-GB)
บทคัดย่อ
A new bivariate basis for triangular patches is expressed by recurrence formulae. This patch can be constructed by a recursive formula that is proven to be the most efficient algorithm compared to any existing triangular surface models. Extended from the author's univariate blending functions, evaluating a point on the basis's curve can be efficiently calculated in linear computations by either its iterative or recursive algorithms. The computational time for this surface's recursive algorithm is of quadratic complexity, 0(n2). Several essential geometric properties for the curves and tensor-product surfaces using this basis are identified, for example, the boundary point interpolation, the affine invariance, the partition of unity, the convex hull properties, and the symmetry. Moreover, the transformations between the B้zier triangular patches and the proposed surfaces can be performed using the monomial form approach. Finally, the degree elevation formula is derived. ฉ 2013 American Scientific Publishers All rights reserved. All rights reserved.
คำสำคัญ
Conversion formulae, Recurrence formulae, Recursive algorithm, Triangular B้zier surface