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Regular algebraic curve segments (II)—Interpolation and approximation

✍ Scribed by Guoliang Xu; Chandrajit L. Bajaj; Chuan I Chu

Book ID
104304829
Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
219 KB
Volume
17
Category
Article
ISSN
0167-8396

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📜 SIMILAR VOLUMES

Regular algebraic curve segments (I)—Def
Regular algebraic curve segments (I)—Definitions and characteristics
✍ Guoliang Xu; Chandrajit L. Bajaj; Weimin Xue 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 257 KB

In this paper (part one of a trilogy), we introduce the concept of a discriminating family of regular algebraic curves (real, nonsingular and connected). Several discriminating families are obtained which yield different characterizations of the Bernstein-Bézier (BB) bivariate polynomials over the p

Regular algebraic curve segments (III)—a
Regular algebraic curve segments (III)—applications in interactive design and data fitting
✍ Chandrajit L. Bajaj; Guoliang Xu 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 941 KB

In this paper (part three of the trilogy) we use low degree G 1 and G 2 continuous regular algebraic spline curves defined within parallelograms, to interpolate an ordered set of data points in the plane. We explicitly characterize curve families whose members have the required interpolating propert