Improving the Otsu Thresholding Method of Global Binarization Using Ring Theory for Ultrasonographies of Congestive Heart Failure

Ring Theory states that a ring is an algebraic structure where two binary operations can be performed among the elements addition and multiplication. Binarization is a method of image processing where values within pixels are reduced to a scale from zero to one, with zero representing the most absence of light and one representing the most presence of light. Currently, sonograms are implemented in scanning for congestive heart failure. However, the renowned Playboy Bunny symbol representing the ailment becomes increasingly difficult to isolate due to surrounding organs and lower quality image productions. This paper examines the Otsu thresholding method and incorporates new elements to account for different image features meant to better isolate congestive heart failure indicators in ultrasound images.