  Over the past decade, reflection matrix microscopy (RMM) and advanced image
reconstruction algorithms have emerged to address the fundamental imaging depth
limitations of optical microscopy in thick biological tissues and complex
media. In this study, we introduce significant advancements in reflection
matrix processing algorithms, including logical indexing, power iterations, and
low-frequency blocking. These enhance the processing speed of aperture
synthesis, 3D image reconstruction, and aberration correction by orders of
magnitude. Detailed algorithm implementations, along with experimental data,
are provided to facilitate the widespread adoption of RMM in various
deep-tissue imaging applications.
