A chronology of interpolation: From ancient astronomy to modern signal and image processing

被引:403
作者
Meijering, E [1 ]
机构
[1] Swiss Fed Inst Technol, Biomed Imaging Grp, CH-1015 Lausanne, Switzerland
关键词
approximation; convolution-based interpolation; history; image processing; polynomial interpolation; signal processing; splines;
D O I
10.1109/5.993400
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
This paper presents a chronological overview of the developments in interpolation theory, from the earliest times to the present date. It brings out the connections between the results obtained in different ages, thereby putting the techniques currently used in signal and imageprocessing into historical perspective, A summary, of the insights and recommendations that follow from relatively recent theoretical as well as experimental studies concludes the presentation.
引用
收藏
页码:319 / 342
页数:24
相关论文
共 357 条
[1]   2-DIMENSIONAL INTERPOLATION OF REAL SEQUENCES USING THE DCT [J].
AGBINYA, JI .
ELECTRONICS LETTERS, 1993, 29 (02) :204-205
[2]   INTERPOLATION USING THE DISCRETE COSINE TRANSFORM [J].
AGBINYA, JI .
ELECTRONICS LETTERS, 1992, 28 (20) :1927-1929
[3]   FAST INTERPOLATION ALGORITHM USING FAST HARTLEY TRANSFORM [J].
AGBINYA, JI .
PROCEEDINGS OF THE IEEE, 1987, 75 (04) :523-524
[4]  
Ahlberg J. H., 1967, THEORY SPLINES THEIR, V38
[5]   CARDINAL SPLINE FILTERS - STABILITY AND CONVERGENCE TO THE IDEAL SINC INTERPOLATOR [J].
ALDROUBI, A ;
UNSER, M ;
EDEN, M .
SIGNAL PROCESSING, 1992, 28 (02) :127-138
[6]   DIGITAL INTERPOLATION OF DISCRETE IMAGES [J].
ANDREWS, HC ;
PATTERSON, CL .
IEEE TRANSACTIONS ON COMPUTERS, 1976, 25 (02) :196-202
[7]  
[Anonymous], 1881, FUNCTIONS GENERATRIC
[8]  
[Anonymous], TRIGONOMETRIA BRITAN
[9]  
[Anonymous], 1779, PHILOS T R SOC, DOI [DOI 10.1098/RSTL.1779.0008, 10.1098/rstl.1779.0008]
[10]  
[Anonymous], 1899, P LOND MATH SOC, DOI DOI 10.1112/PLMS/S1-31.1.449