期刊文献+

用多项式近似逆滤波函数实现场曲修正 被引量:5

Correction of Field Curved Images by the Polynomial Approximation of the Inverse Filtering Function
在线阅读 下载PDF
导出
摘要 根据光电成像系统传递函数 ,确定逆滤波函数对获得图像进行反降质恢复 将连续逆滤波函数按泰勒级数展开 ,用多项式近似表示 对逆滤波函数的多项式作反傅里叶变换 ,得到图像恢复在空间域中的近似运算表达 ,即图像信号及其各阶导数的线性组合 ,而不是复杂的反卷积操作 该方法特别适合空间移变系统的图像恢复 详细分析了这种方法的原理 ,推导了运算公式 。 When an optical transfer function is known,the inverse filtering function can be determined and used for image recovery. If the inverse filtering function is continuous, it can actually be represented as a Taylor polynomial. Hence the recovery of images may be approximately realized in spatial domain by the linear combination of the image and its derivatives rather than by the complex deconvolution. It is considerable for the image recovery of the spatially variant system, such as the correction of field curved images, as the spatial variance only reflects in the coefficients of the linear combination. The recovery equations are derived and the processing results are presented.
出处 《光子学报》 EI CAS CSCD 北大核心 2003年第6期745-748,共4页 Acta Photonica Sinica
基金 重庆市科技攻关项目 ( 2 0 0 2 813)
关键词 逆滤波函数 多项式近似 场曲修正 移变系统 图像恢复 图像处理 传递函数 光学系统 Curvature of fields Spatially variance Image recovery Inverse filtering
  • 相关文献

参考文献6

  • 1土井康弘 安藤繁.图像处理概论[M].北京:原子能出版社,1986,12..
  • 2Jamieson T H. Thick meniscus field correctors. Applied Optics, 1982,21 ( 15 ) : 2799 - 2803.
  • 3Sawchuk A. Space-variant image restoration by coordinate transformations. Journal of the Optical Society of America,1974, 64(2) :138 -144.
  • 4Sawchuk A. Peyrovial M J. Restoration of Astigmatism and Curvature of Field. Journal of the Optical Society of America,1975,65(6) : 712 -715.
  • 5Trussell J. Hunt B R. Image restoration of space-variant blurs by sectioned methods. IEEE Transactions on Acoustics,Speech, and Signal Processing,1977,26(6) : 608 -609.
  • 6Piccolomini E L, Zama F. Parallel image restoration with domain decomposition. Red-Time Imaging, 2001,7 ( 1 ) :47-57.

共引文献1

同被引文献26

  • 1[2]H.J. Trussell,B. R. Hunt. Image restoration of spacevariant blurs by sectioned methods [ J ]. IEEE Transactions on Acoustics, Speech, and Signal Processing, 1978,26 (2): 608~ 609.
  • 2[3]Thomas P. Costello, Wasfy B. Mikhael. Efficient restoration of space-variant blurs from physical optics by sectioning with modified Wiener filtering [J]. Digital Signal Processing, 2003,13:1 ~ 22.
  • 3[4]J.W. Wood, C. W. Radewan. Kalman Filtering in two dimensions [J]. IEEE Trans on Info. Theory, 1977, 23(4):473~482.
  • 4[5]Denise Angwin, Howard Kaufman. Image restoration using a reduced order model Kalman filter [J].Acoustics Speech and Signal Processing, 1988,2:1000~1003.
  • 5[7]MartialS Geiser. Petzval curvature versus image quality for the Cooke triplet[J]. Optical Engineering, 1990,29(3) :253~256.
  • 6J.w.顾德门.傅立叶光学导论[M].秦克诚译.7版.北京:电子工业出版社,2006.
  • 7Perona P, Malik J. Scale-space and edge delection using anisotropic diffusion. IEEE Trans Pattern Anal Machine Intell, 1990,12(7): 629~ 639.
  • 8Yu L Y,Kaveh M,Wen Y X,et al. Analysis and design of anisotropic diffusion for image processing. Proc IEEE Int Conf Image Processing, 1994,2: 497 ~ 501.
  • 9Deng G, Cahill L W. An adaptive gaussian filter for noise reduction and edge detection. Nuclear Science Symposium and Medical Imaging Conference. IEEE Conference Record, 1994,3:1615~ 1619.
  • 10Weeratunga S, Kamath C. Comparison of PDE-based non-linear anistropic diffusion techniques for image denoising. Proc of SP IE , 2003,5014: 201~212.

引证文献5

二级引证文献14

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部