• 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...
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    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...
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  • plotted below: Bézier curve De Boor's algorithm Horner scheme to evaluate polynomials in monomial form Clenshaw algorithm to evaluate polynomials in Chebyshev...
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    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
  • 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
  • generalization of B-splines Truncated power function De Boor's algorithm — generalizes De Casteljau's algorithm Non-uniform rational B-spline (NURBS) T-spline...
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    multiples of π / 2 {\displaystyle \pi /2} . Spline Bézier surface de Boor's algorithm Triangle mesh Point cloud Rational motion Isogeometric analysis "Why...
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  • width Curve of pursuit Curves in differential geometry Cusp Cyclogon De Boor algorithm Differential geometry of curves Eccentricity (mathematics) Elliptic...
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    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...
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  • 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
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    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...
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  • )={\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...
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  • 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...
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  • In numerical linear algebra, the tridiagonal matrix algorithm, also known as the Thomas algorithm (named after Llewellyn Thomas), is a simplified form...
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  • 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...
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  • 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...
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  • The Remez algorithm or Remez exchange algorithm, published by Evgeny Yakovlevich Remez in 1934, is an iterative algorithm used to find simple approximations...
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  • 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...
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  • In mathematics, divided differences is an algorithm, historically used for computing tables of logarithms and trigonometric functions.[citation needed]...
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  • Science & Business Media. Conte, S. D., & De Boor, C. (2017). Elementary numerical analysis: an algorithmic approach. Society for Industrial and Applied...
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  • 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):...
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    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...
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    Science & Business Media. Conte, S. D., & De Boor, C. (2017). Elementary numerical analysis: an algorithmic approach. Society for Industrial and Applied...
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  • McNamara, Robert G; Tikka, Pia (2023). "Well-Founded Fear of Algorithms or Algorithms of Well-Founded Fear? Hybrid Intelligence in Automated Asylum Seeker...
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    Company. ISBN 1360838279. {{cite book}}: ISBN / Date incompatibility (help) de Boor, Carl. "A draftman's [sic] spline". University of Wisconsin–Madison. Retrieved...
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  • 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...
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    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...
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  • 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...
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  • filtering, specifically for fast bilateral filtering and non-local means algorithms. Moreover, box splines are used for designing efficient space-variant...
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