de Boor's algorithm is a polynomial-time and numerically stable algorithm for evaluating spline curves in B-spline form. It is a generalization of de...
8 KB (1,492 words) - 06:35, 2 May 2025
De Boor is a surname. Notable people with the surname include: Carl R. de Boor (born 1937), American mathematician De Boor's algorithm, in numerical analysis...
510 bytes (101 words) - 19:55, 26 May 2025
plotted below: Bézier curve De Boor's algorithm Horner scheme to evaluate polynomials in monomial form Clenshaw algorithm to evaluate polynomials in Chebyshev...
12 KB (2,000 words) - 11:43, 20 June 2025
spline De Boor's algorithm I-spline M-spline Spline wavelet T-spline Strictly speaking, B-splines are usually defined as being left-continuous. de Boor gives...
31 KB (5,735 words) - 15:03, 23 June 2025
Horner's method (redirect from Horner algorithm)
Clenshaw algorithm to evaluate polynomials in Chebyshev form De Boor's algorithm to evaluate splines in B-spline form De Casteljau's algorithm to evaluate...
32 KB (5,210 words) - 17:42, 28 May 2025
interpolation Neville's algorithm Spline interpolation: Reduces error with Runge's phenomenon. De Boor algorithm: B-splines De Casteljau's algorithm: Bézier curves...
72 KB (7,951 words) - 17:13, 5 June 2025
List of numerical analysis topics (redirect from List of eigenvalue algorithms)
generalization of B-splines Truncated power function De Boor's algorithm — generalizes De Casteljau's algorithm Non-uniform rational B-spline (NURBS) T-spline...
70 KB (8,327 words) - 09:12, 7 June 2025
multiples of π / 2 {\displaystyle \pi /2} . Spline Bézier surface de Boor's algorithm Triangle mesh Point cloud Rational motion Isogeometric analysis "Why...
31 KB (4,626 words) - 21:02, 10 July 2025
width Curve of pursuit Curves in differential geometry Cusp Cyclogon De Boor algorithm Differential geometry of curves Eccentricity (mathematics) Elliptic...
3 KB (262 words) - 20:23, 11 March 2022
early 1960s or late 1950s. At least one of de Casteljau's papers was published, but not widely, in 1959. De Boor's work at General Motors resulted in a number...
23 KB (3,784 words) - 15:53, 6 July 2025
use Clenshaw algorithm. For polynomials in Bézier form we can use De Casteljau's algorithm, and for B-splines there is De Boor's algorithm. The fact that...
18 KB (3,448 words) - 06:32, 7 July 2025
R. de Boor Archived March 4, 2006, at the Wayback Machine National Science Foundation - The President's National Medal of Science Carl de Boor's curriculum...
9 KB (1,065 words) - 11:43, 13 April 2025
)={\mathcal {I}}_{[\xi _{i},\xi _{i+1})}(s)\quad 1\leq i\leq n} Using De Boor's algorithm, it is possible to generate B-splines of arbitrary order p {\displaystyle...
13 KB (2,363 words) - 16:21, 22 September 2024
Smoothing spline (section De Boor's approach)
de Boor's book A Practical Guide to Splines. The examples are in the Fortran programming language. The updated sources are available also on Carl de Boor's...
14 KB (2,314 words) - 09:45, 13 May 2025
In numerical linear algebra, the tridiagonal matrix algorithm, also known as the Thomas algorithm (named after Llewellyn Thomas), is a simplified form...
20 KB (4,086 words) - 16:38, 25 May 2025
Regula falsi (redirect from Illinois algorithm)
dire delle false Positioni Conte, S.D.; Boor, Carl de (1965). Elementary Numerical Analysis: an algorithmic approach (2nd ed.). McGraw-Hill. p. 40. OCLC 1088854304...
34 KB (5,198 words) - 15:01, 18 July 2025
evaluation of the Bernstein-Bézier form for polynomials "de Casteljau algorithm" although it is Carl de Boor's more general result applying it to B-splines which...
10 KB (1,114 words) - 03:35, 11 November 2024
The Remez algorithm or Remez exchange algorithm, published by Evgeny Yakovlevich Remez in 1934, is an iterative algorithm used to find simple approximations...
16 KB (2,697 words) - 03:20, 25 July 2025
Progressive-iterative approximation method (category Geometric algorithms)
de Boor in the 1970s. In 1975, Qi et al. developed and proved the "profit and loss" algorithm for uniform cubic B-spline curves, and in 1979, de Boor...
47 KB (8,005 words) - 02:41, 5 July 2025
In mathematics, divided differences is an algorithm, historically used for computing tables of logarithms and trigonometric functions.[citation needed]...
16 KB (3,721 words) - 11:03, 9 April 2025
Computational science (section Methods and algorithms)
Science & Business Media. Conte, S. D., & De Boor, C. (2017). Elementary numerical analysis: an algorithmic approach. Society for Industrial and Applied...
32 KB (3,397 words) - 22:41, 21 July 2025
2307/2004533, JSTOR 2004533, archived (PDF) from the original on 2012-10-25 de Boor, Carl (1990), "An empty exercise" (PDF), ACM SIGNUM Newsletter, 25 (2):...
91 KB (14,395 words) - 21:11, 31 May 2025
Seminumerical Algorithms (3rd ed.). Addison-Wesley Professional. Section 4.3.3.C: Discrete Fourier transforms, pg.305. ISBN 978-0-201-89684-8. Conte, S. D.; de Boor...
38 KB (4,788 words) - 15:31, 27 April 2025
Science & Business Media. Conte, S. D., & De Boor, C. (2017). Elementary numerical analysis: an algorithmic approach. Society for Industrial and Applied...
23 KB (2,338 words) - 07:44, 22 July 2025
McNamara, Robert G; Tikka, Pia (2023). "Well-Founded Fear of Algorithms or Algorithms of Well-Founded Fear? Hybrid Intelligence in Automated Asylum Seeker...
36 KB (2,868 words) - 19:51, 19 June 2025
Company. ISBN 1360838279. {{cite book}}: ISBN / Date incompatibility (help) de Boor, Carl. "A draftman's [sic] spline". University of Wisconsin–Madison. Retrieved...
7 KB (831 words) - 17:41, 6 May 2025
director of CERIAS Dale L. Boger – medicinal and organic chemist Carl R. de Boor – assistant professor at Purdue University, won the John von Neumann Prize...
16 KB (1,795 words) - 20:05, 6 July 2025
Hall/CRC. ISBN 978-0-412-98321-4. Conte, S.D.; De Boor, C. (2018). Elementary Numerical Analysis: An Algorithmic Approach. Classics in Applied Mathematics...
15 KB (2,406 words) - 23:39, 31 May 2025
at Michigan under T.H. Hildebrandt, R.L. Wilder, and G.Y. Rainich Carl de Boor (Ph.D. Mathematics 1966), known for pioneering work on splines, National...
185 KB (24,141 words) - 18:35, 18 July 2025
filtering, specifically for fast bilateral filtering and non-local means algorithms. Moreover, box splines are used for designing efficient space-variant...
14 KB (1,796 words) - 07:26, 8 July 2025