Abstract
In this paper we have constructed a new hybrid transform. We have combined the DCT block and the Haar block into one block which we have called hybrid DCT-HAAR block. This new block combines the advantages of the DCT which works extremely well for highly correlated data and the advantages of the Haar transform which gives superior results for images exhibiting rapid gradient variations. The DCT is applied to the upper left corner of the block. The Haar is applied to the remaining parts of the block. We derived the equations of the matrix M needed to recover the hybrid block. Our method increased the PSNR obtained by the DCT transform and enhanced the edge recovery of the Haar transform.
Similar content being viewed by others
References
Ahmed N, Natarajan T, Rao KR (1974) Discrete cosine transform. IEEE Trans Comput 23:90–93
Benchikh S, Corinthios M (2011) A hybrid image compression technique based on DWT and DCT transforms, ICAIT, pp. 1-8
Ding JJ, Huang YW, Lin PY, Pei SC, Chen HH, Wang YH (2013) Two-dimensional orthogonal DCT expansion in trapezoid and triangular blocks and modified JPEG image compression. Image Processing, IEEE Transactions 22(9):3664–3675
Fracastoro G, Fosson SM, Magli E (2017) Steerable discrete Cosine transform. IEEE Trans Image Process 26(1):303–314
Fracastoro G, Verdoja F, Grangetto M, Magli E (2015) Superpixeldriven graph transform for image compression. Proc IEEE Int Conf Image Process 2015:2631–2635
Hu W, Cheung G, Ortega A, Au OC (2015) Multiresolution graph Fourier transform for compression of piecewise smooth images. IEEE Trans Image Process 24(1):419–433
Huynh-Thu Q, Ghanbari M (2008) Scope of validity of PSNR in image/video quality assessment. Electron Lett 44(13):800
Joshi MA, Raval MS, Dandawate YH, Joshi KR, Metkar SP (2014) Image and video compression: fundamentals, techniques, and applications. CRC press, Boca Raton
Kekre HB, Sarode T, Dhannawat R (2012) Image fusion using Kekre's hybrid wavelet transform, ICCICT, pp. 1-6
Kozhemiakin R, Abramov S, Lukin V, Djurović B, Kharkiv ID (2016) Compression ratio prediction for DCT-based coder. 9th International Symposium on Physics and Engineering of Microwaves, Millimeter and Submillimeter Waves (MSMW), pp. 1–4
Lewis AS, Knowles G (1992) Image compression using the 2-D wavelet transform. IEEE Trans Image Process 1(2):244–250
Pennebaker WB, Mitchell JL (1993) JPEG Still Image Data Compression Standard. Springer, New York
Sahoo R, Roy S, Chaudhuri SS (2014) Haar Wavelet Transform image compression using Run Length Encoding, ICCSP, 71-75
Shrestha S, Wahid K (2010) Hybrid DWT-DCT algorithm for biomedical image and video compression applications, ISSPA, pp. 280-283
Talukder KH, Harada K (2007) Haar wavelet based approach for image compression and quality assessment of compressed image. International Journal of Applied Mathematics 3(6)
Taubman D, Marcellin M (2002) JPEG2000 Image Compression Fundamentals, Standards and Practice. Springer, New York
Usevitch BE (2001) A tutorial on modern lossy wavelet image compression: foundation of JPEG 2000. IEEE Signal Process Mag 18(5):22–35
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.