An approach to the determination of DP triangular surfaces with its quadratic complexity

Conference proceedings article

ผู้เขียน/บรรณาธิการ

ณัฐชา เดชดำรง

กลุ่มสาขาการวิจัยเชิงกลยุทธ์

ไม่พบข้อมูลที่เกี่ยวข้อง

รายละเอียดสำหรับงานพิมพ์

รายชื่อผู้แต่ง: Krungkarnchana P., Dejdumrong N.

ผู้เผยแพร่: Hindawi

ปีที่เผยแพร่ (ค.ศ.): 2010

หน้าแรก: 1236

หน้าสุดท้าย: 1240

จำนวนหน้า: 5

ISBN: 9789746724913

eISSN: 1745-4557

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-77954963033&partnerID=40&md5=1080a694232b00f0fea639e83bbab987

ภาษา: English-Great Britain (EN-GB)

บทคัดย่อ

A proposed model for triangular DP surfaces provided in [4] has been found that there is an inappropriate property in its recurrence formulae. That is, it is lack of convexity, i.e., summation of all blending functions for each degree is not equal to one. Although, Later in 2009, A new model of triangular DP surfaces [18] has been proposed, however, this model is still not satisfied linearly independent property. Consequently, the model cannot be able to find degree elevation, degree reduction as well as conversions from one model to another. This paper presents a new approach to the construction of triangular DP surfaces that possesses the recurrence formulae, and its recursive evaluation algorithm. Some examples of degree elevation formulae are given for some degrees. The convexity property and the quadratic evaluation complexity are also derived. It is obvious that this model of triangular DP surfaces is more efficient than both previous DP surface models.

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