Abstract
The evaluation of tensor image processing algorithms is an open problem that has not been broadly handled, and specific measures have not been described to assess the quality of tensor images. In this chapter, we propose the adaptation of quality measures that have been defined in the case of conventional scalar images to the tensor case, in order to evaluate the quality of the tensor images that are most frequently used in the image processing field. Special attention is paid to the tensor features that made this extension no straightforward. Some general concepts that should be taken into account for the definition of quality indexes for tensor images based on the well-known measures for conventional scalar images are detailed. Then, some of these measures are adapted to deal with tensor images and their behavior is analyzed by means of some examples. Thus, it is shown that structure based measures outperform point-wise measures, as well as the influence of handling all the tensor components.
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Muñoz-Moreno, E., Aja-Fernández, S., Martin-Fernandez, M. (2009). Quality Assessment of Tensor Images. In: Aja-Fernández, S., de Luis García, R., Tao, D., Li, X. (eds) Tensors in Image Processing and Computer Vision. Advances in Pattern Recognition. Springer, London. https://doi.org/10.1007/978-1-84882-299-3_4
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DOI: https://doi.org/10.1007/978-1-84882-299-3_4
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