Abstract
New approaches are proposed for the equalization of directional multidimensional histograms of 2D-matrix and 3D-tensor images, obtained from CTI or MRI sequences, video, etc. Such equalization opens new possibilities for quality improvement of the tensor images in a selected direction of the 3D space. The directional contrast enhancement is of high importance for example, for the detection of objects oriented in the same direction. In the paper the algorithms for the calculation of the multidimensional directional histograms of 2D and 3D images are defined: in the first case, in the 4 directions of the 2D plane, and in the second—in 13 directions of the 3D space. The conditions for the directional equalization 2D and 3D histograms are defined, on the basis of which is enhanced the contrast of the processed images. In the paper are also defined the criteria for the evaluation of contrast enhancement in 3D images. The new method is illustrated through a digital example. The future application areas of the proposed approach are in the processing of underground images, 3D medical and dental images, etc. In the future the method will be aimed at the double transform of the grey levels of neighboring triples of voxels in correspondence with the selected approximation 3D model of the directional histogram, the local directional equalization of monochrome images, etc.
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Acknowledgements
This work was supported by the National Science Fund of Bulgaria: Project No. KP-06-H27/16 “Development of efficient methods and algorithms for tensor-based processing and analysis of multidimensional images with application in interdisciplinary areas”.
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Kountcheva, R., Kountchev, R. (2022). Equalization of Directional Multidimensional Histograms of Matrix and Tensor Images. In: Kountchev, R., Mironov, R., Nakamatsu, K. (eds) New Approaches for Multidimensional Signal Processing. Smart Innovation, Systems and Technologies, vol 270. Springer, Singapore. https://doi.org/10.1007/978-981-16-8558-3_7
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DOI: https://doi.org/10.1007/978-981-16-8558-3_7
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