Results 121 to 130 of about 906 (173)

Supervised Functional Principal Component Analysis Under the Mixture Cure Rate Model: An Application to Alzheimer'S Disease. [PDF]

Stat Med
Feng J, Shi H, Ma D, Faisal Beg M, Cao J.   +4 more
europepmc   +1 more source

STATISTICAL INFERENCE FOR MEAN FUNCTIONS OF COMPLEX 3D OBJECTS. [PDF]

Stat Sin
Wang Y, Wang G, Klinedinst B, Willette A, Wang L.   +4 more
europepmc   +1 more source

On Sampling-Times-Independent Identification of Relaxation Time and Frequency Spectra Models of Viscoelastic Materials Using Stress Relaxation Experiment Data. [PDF]

Materials (Basel)
Stankiewicz A, Juściński S, Błażewicz-Woźniak M.   +2 more
europepmc   +1 more source

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On orthonormal harmonic polynomials

The Journal of Analysis, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Heinz Leutwiler, Eleutherius Symeonidis
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Convolutions of Orthonormal Polynomials

SIAM Journal on Mathematical Analysis, 1976
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Al-Salam, W. A., Chihara, T. S.
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Orthonormal polynomials for hexagonal pupils

Optics Letters, 2006
The problem of determining the orthonormal polynomials for hexagonal pupils by the Gram-Schmidt orthogonalization of Zernike circle polynomials is revisited, and closed-form expressions for the hexagonal polynomials are given. We show how the orthonormal coefficients are related to the corresponding Zernike coefficients for a hexagonal pupil and ...
Virendra N, Mahajan, Guang-ming, Dai
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On the Difference of Orthonormal Polynomials

Quaestiones Mathematicae, 2003
We establish an estimate on the difference of orthonormal polynomials for a general class of exponential weights. Mathematics Subject Classification (2000): 41A05, 05E35, 41A65 Key words: Orthonormal polynomials, exponential weights Quaestiones Mathematicae 26(2003), 347 ...
Kubayi D.G., Mashele H.P.
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Orthonormal polynomials in wavefront analysis: error analysis

Applied Optics, 2006
Zernike circle polynomials are in widespread use for wavefront analysis because of their orthogonality over a circular pupil and their representation of balanced classical aberrations. However, they are not appropriate for noncircular pupils, such as annular, hexagonal, elliptical, rectangular, and square pupils, due to their lack of orthogonality over
Guang-Ming, Dai, Virendra N, Mahajan
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Orthonormal Polynomials in Wavefront Analysis: Analytical Solution

Frontiers in Optics, 2006
Zernike circle polynomials are in widespread use for wavefront analysis because of their orthogonality over a circular pupil and their representation of balanced classical aberrations. In recent papers, we derived closed-form polynomials that are orthonormal over a hexagonal pupil, such as the hexagonal segments of a large mirror. We extend our work to
Virendra N, Mahajan, Guang-ming, Dai
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Weighted fit by orthonormal polynomials

Computer Physics Communications, 1981
Abstract The fitting technique by orthonormal polynomials and Forsythe's recurrence relationship, generalized in order to take into account experimental errors, are discussed. Comparison is made between orthonormal and standard fits to point out the improvements on the latter, mainly from a computational point of view.
ROSATO, ELIO, VIGILANTE, MARIANO, N. DE CESARE, PERILLO, EUGENIO, SPADACCINI, GIULIO   +4 more
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