The logarithmic image processing (LIP) theory is a mathematicalframework that provides a set of specific algebraicand functional operations and structures that are welladapted to the representation and processing of non-linearimages, and more generally of non-linear signals, valued ina bounded intensity range. This very well structured theorydetermined us to use the logarithmic image representation inour approach for defining a new set of mathematical morphologyoperators based upon structuring elements with avariable geometrical shape or adaptative structuring elements.The purpose of this paper is to define and to analyzethe new multiplicative logarithmic morphological operatorsused in medical image enhancement. Finally, the experimentalresults reveal that this method has wide potentialareas of impact which may include: Digital X-ray, DigitalMammography, Computer Tomography Scans, NuclearMagnetic Resonance Imagery and Telemedicine Applications.
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