Two general filters for image enhancement and their applications for images acquired from a transmission electron microscope and a fluorescence microscope

Image enhancement is important in image processing. It can improve image contrast, highlight details and suppress noise. This work proposes two general filters based on mathematical functions for the image enhancement. The first filter was designed using logarithmic, anti-trigonometric and hypotenuse functions. The second filter was designed using trigonometric and anti-trigonometric functions. These two filters can be used for processing the images acquired from fluorescence microscope and transmission electron microscope. We also use them to process images containing nesting structures, weak-light images and images with high degradation by the Gaussian noise. They are effective to achieve better enhancement of the images.