Methods and systems for producing a visually-perceived representation of a sub-millimeter-sized blood vessel located at a depth of many centimeters in the biological tissue, in which the background clutter is suppressed (by at least 30 dB using SVT and additional 23 dB using a combination of morphology filtering and vessel enhancement filtering) as compared to an image obtained with the use of a B-mode ultrasound imaging, while at the same time maintaining the morphology of the blood vessel.