Various embodiments of the present invention are directed to real-time capture, analysis, and output of polarizing microscopy images that quantify detected LB signals at discrete locations within the image. In one embodiment of the present invention, circularly polarized light is passed through a sample and optically imaged by traditional polarizing-light-microscope components. The resulting image is then split four ways and analyzed by a four-way polarizer/analyzer, and the four resulting analyzed subimages are computationally processed to produce three false-color, real-time images that represent per-pixel linear birefringence, extinction angle, and transmission at each position within a quarter-sized representation of the original image produced by conventional light-microscope imaging components. The false-color images can be produced at a rate of 30 frames per second or at greater rates by employing highly efficient image capture and computational processing of captured images through efficient programming techniques.