Interpolation with nonuniform B-splines

被引:0
作者
Margolis, E [1 ]
Eldar, YC [1 ]
机构
[1] Technion Israel Inst Technol, Dept Elect Engn, IL-32000 Haifa, Israel
来源
2004 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING, VOL II, PROCEEDINGS: SENSOR ARRAY AND MULTICHANNEL SIGNAL PROCESSING SIGNAL PROCESSING THEORY AND METHODS | 2004年
关键词
D O I
暂无
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
We consider the problem of interpolating a continuous-time signal from a set of uniformly spaced discrete-time samples. One of the prime methods of interpolation is based on the use of uniform B-splines. In this paper, we introduce a new interpolation approach using nonuniform B-splines as interpolation kernels. We show both theoretically, and through simulation results, that using nonuniform B-splines for interpolation of a signal from uniform samples can result in a higher quality of interpolation with respect to uniform B-splines, at the same computational cost.
引用
收藏
页码:577 / 580
页数:4
相关论文
共 11 条
[1]   Quantitative Fourier analysis of approximation techniques: Part I - Interpolators and projectors [J].
Blu, T ;
Unser, M .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1999, 47 (10) :2783-2795
[2]   MOMS:: Maximal-order interpolation of minimal support [J].
Blu, T ;
Thévenaz, P ;
Unser, M .
IEEE TRANSACTIONS ON IMAGE PROCESSING, 2001, 10 (07) :1069-1080
[3]  
de Boor C., 1972, Journal of Approximation Theory, V6, P50, DOI 10.1016/0021-9045(72)90080-9
[4]  
Jain A., 1989, FUNDAMENTAL DIGITAL
[5]   CUBIC CONVOLUTION INTERPOLATION FOR DIGITAL IMAGE-PROCESSING [J].
KEYS, RG .
IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1981, 29 (06) :1153-1160
[6]  
Schumaker L., 1981, SPLINE FUNCTIONS BAS
[7]  
Strang G., 1971, Constructive Aspects of Functional Analysis, P796
[8]   Interpolation revisited [J].
Thévenaz, P ;
Blu, T ;
Unser, M .
IEEE TRANSACTIONS ON MEDICAL IMAGING, 2000, 19 (07) :739-758
[9]   On the approximation power of convolution-based least squares versus lnterpolation [J].
Unser, M ;
Daubechies, I .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1997, 45 (07) :1697-1711
[10]   B-SPLINE SIGNAL-PROCESSING .2. EFFICIENT DESIGN AND APPLICATIONS [J].
UNSER, M ;
ALDROUBI, A ;
EDEN, M .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1993, 41 (02) :834-848