Definition
An image decomposition is the result of a mathematical transformation of an image into a new set of images that represent different aspects of the input image or scene pictured in that image. The original image can typically be reconstructed from these new images.
Background
While images are primarily stored as an array of pixel values, an image can be represented in a number of different ways. For instance, an image can be easily transformed into two images, one containing the high-frequency variation in the input image and a second containing the low-frequency variation. This process decomposes the input image into two images, each of which expresses different information about the original image.
This process is useful when further processing will treat these two images differently. If the decomposition is chosen correctly, the image is decomposed into a set of images that can each be processed uniformly. Thus, the decomposition facilitates adaptive processing of the...
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References
Burt P, Adelson E (1983) The Laplacian pyramid as a compact image code. IEEE Trans Commun 31(4):532–540
Simoncelli EP, Freeman WT, Adelson EH, Heeger DJ (1992) Shiftable multiscale transforms. IEEE Trans Inf Theory 38(2):587–607
Eisemann E, Durand F (2004) Flash photography enhancement via intrinsic relighting. ACM Trans Graph 23:673–678
Weiss Y (2001) Deriving intrinsic images from image sequences. In: IEEE international conference on computer vision, Vancouver, vol 2, p 68
Tappen MF, Freeman WT, Adelson EH (2005) Recovering intrinsic images from a single image. IEEE Trans Pattern Anal Mach Intell 27(9):1459–1472
Tappen MF, Adelson EH, Freeman WT (2006) Estimating intrinsic component images using non-linear regression. In: The proceedings of the 2006 IEEE computer society conference on computer vision and pattern recognition (CVPR), New York, vol 2, pp 1992–1999
Portilla J, Strela V, Wainwright M, Simoncelli E (2003) Image denoising using scale mixtures of gaussians in the wavelet domain. IEEE Trans Image Process 12(11): 1338–1351
Heeger DJ, Bergen JR (1995) Pyramid-based texture analysis/synthesis. In: Proceedings of ACM SIGGRAPH 1995. ACM, New York, pp 229–238
Portilla J, Simoncelli EP (2000) A parametric texture model based on joint statistics of complex wavelet coefficients. Int J Comput Vis 40(1):49–70
Bousseau A, Paris S, Durand F (2009) User assisted intrinsic images. ACM Trans Graph (Proceedings of SIGGRAPH Asia 2009) 28(5)
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Tappen, M.F. (2014). Image Decompositions. In: Ikeuchi, K. (eds) Computer Vision. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-31439-6_549
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DOI: https://doi.org/10.1007/978-0-387-31439-6_549
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