Image-Data Reconstruction Through Spline Functions

Abstract

Spline functions due to their smoothing and interpolating properties are gaining popularity in engineering applications and image processing. In reality, the discretized image is a representation of the average-image intensity or photographic density over a certain area. To reduce the channel or storage requirements, the reduction in the number of pixels may be an alternative, consequently the missing details may be obtained by interpolation.

In the present paper, the interpolation techniques by the spline functions of odd degree are developed and used on an exponential function and an image data, to reconstruct the original function. Results show that a good data-reduction ratio can be obtained with reasonable mean-square error in reconstruction. The technique of interpolation is applied to an image. The results shown are quite encouraging.

Indexing Terms:

• Spline Interpolation
• Data Compression
• Image Reconstruction

Additional information

Notes on contributors

H.B. Kekre

Hemant, B. Kekre (Dr.) is Professor and Inchargc of Computer Centre at Indian Institute of Technology, Bombay. He received B.E. Hons, degree in Telecommunication Engineering from Jabalpur University, Jabalpur, in 1958, and the M. Tech. in Electrical Engineering from I.I.T., Bombay, in 1960. He received the M Sc. in Electrical Engineering from the University of Ottawa, Ottawa, Canada, in 1965 and the Ph.D. from I.I.T., Bombay in 1970. Since 1960 he has been on the faculty of Electrical Engineering at I.I.T., Bombay. In 1974 he joined the Computer Centre, I.I.T., Bombay. From 1963 to 1965 he was at the University of Ottawa, Ottawa, Canada, under a Commonwealth Scholarship program. His fields of interest are simulation, picture processing, system identification and computer communications. He has published over 70 papers on these topics. He is member of the Computer Society of India, the Indian Society for Theory of Probability and its Applications, senior member of IEEE and Fellow of IETE, India.

S.C. Sahasrabudhe

Sahasrabudhe, (S C): Received M.Sc. (Physics) from Nagpur in 1964, M.Tech. (Elec. Engg.) from I.I.T. Bombay in 1966, and Ph.D. (T.V/EE) from Leningrad, USSR in 1971. Since 1971, he is with the Department of Electrical Engineering, Indian Institute of Technology, Bombay, where he is presently Professor and Head of the Department. His areas of interest are Communication Systems and Image Processing. He is a senior member of IEEE.

N.C. Goyal

Goyal (N C): Graduated in Electrical Engineering from Jiwaji University, Gwalior in 1966 and M.E. (Electrical Measurements and Control) from the same University in 1972 and was awarded Gold Medal. Since 1966 he is working as a Lecturer in Electrical Engineering Department in Madhav Institute of Technology and Science, Gwalior. At present he is working as a research scholar at the Computer Centre, I.I.T. Bombay, as a sponsored candidate under Quality Improvement Program. He is student member of IEEE & member of IE and IETE. He has published more than 7 papers in various recognised Technical Journals from India and abroad. His field of interest is digital signal processing and image processing.