CLOSED CARTESIAN REPRESENTATION OF THE ZERNIKE POLYNOMIALS

被引：7

作者：

CARPIO, M

MALACARA, D

机构：

[1] Centro de Investigaciones en Optica A.C., 37000 Leon, Gto.

来源：

OPTICS COMMUNICATIONS | 1994年 / 110卷 / 5-6期

关键词：

D O I：

10.1016/0030-4018(94)90241-0

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

A general closed representation is presented of Zernike polynomials in cartesian coordinates. This form substantially increases the precision of numerical calculations when x-y coordinates are used to sample an interferogram, by avoiding any numerical conversions from cartesian to polar coordinates.

引用

页码：514 / 516

页数：3

共 8 条

[1]

BATHIA AB, 1954, P CAMBR PHILOS SOC 1, V50, P40

[2]

Bezdid'ko S. N., 1975, Soviet Journal of Optical Technology, V42, P426

[3]

BORN M, 1983, PRINCIPLES OPTICS, pCH9

[4] A NEW EXPRESSION FOR THE D-DIMENSIONAL FIERZ COEFFICIENTS [J].

BRADEN, HW .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1984, 17 (15) :2927-2934

[5] WAVE-FRONT FITTING WITH DISCRETE ORTHOGONAL POLYNOMIALS IN A UNIT RADIUS CIRCLE [J].

MALACARA, D ;

CARPIOVALADEZ, JM ;

SANCHEZMONDRAGON, JJ .

OPTICAL ENGINEERING, 1990, 29 (06) :672-675

[6]

MALACARA D, 1978, ZERNIKE POLYNOMIALS

[7]

Malacara D., 1992, OPTICAL SHOP TESTING

[8]

Zernike F, 1934, PHYSICA, V1, P689

← 1 →