Space travel is a complex, confusing and dangerous topic. There are many variables that can turn a mission into a disaster. From launch to landing, everything must be very well planned, studied and simulated. Photographs taken by probes and robots can help, but they are far from the necessary information. However, all this may change with the advent of a new method of photomapping. A math trick will help you land safely on the Moon, Mars, and any other planet.

Landform mapping on our natural satellite is of great interest and importance for future human missions.

Photo mapping creates high-resolution surface maps
Researchers have discovered a method for creating high-resolution maps of the surfaces of planets such as the Moon by combining available images and topographic data.
Mapping the complex and varied surface of a world like the Moon at detailed resolution is challenging because laser altimeters, which measure changes in altitude, operate at a much lower resolution than cameras.  And although photographs give a sense of surface features, it is difficult to translate images into a specific height and depth.
However, the new method combines topographic data with the degree of sunlight shading in optical images to provide a much more accurate assessment of fill shapes and structures.  In the future, the development could help both astronauts and research robots.
The new method was developed by Iris Fernandes, a former PhD student at the Niels Bohr Institute at the University of Copenhagen, Denmark.

Geophysicist Iris Fernandez, a researcher at the University of Copenhagen who discovered a new mathematical method for mapping photographs of lunar soil.

Lots of missions, lots of photos, but... lacks mathematical rigor
Different missions provide data at very different resolutions, so combining different data sources with different resolutions is a huge mathematical problem.  Iris Fernandez and her then supervisor, geophysicist Klaus Mosegaard, did differently, as they focused on the mathematics of the problem, reducing the problem of determining whether an equation could solve the problem.

So it was.  It can be said that my supervisor, Professor Klaus Mosegaard, and I have found the mathematical key to a door that has remained closed for many years.

Iris Fernandez mentioned in a statement about his discovery, published on the website university.
It should also be noted that the new approach also requires much less computing power and is much faster than previous methods, according to the researchers.

The moon was the first target of exploration
Researchers have demonstrated the technique on the moon.  These combined high-resolution images from NASA's LROC camera Lunar Reconnaissance Orbiter with lower resolution spacecraft data Lunar orbiter laser altimeter (LOLA), the authors of the article claim to have increased the resolution of the topography from about 60 meters per pixel to 0.9 meters per pixel.
In this follow-up, the authors of the study noted that this method can be applied to extract accurate topographic information about rocks on planetary bodies such as the Moon, Mars, asteroids, and any other worlds for which topographic data is available.
This method can be used to solve a number of different problems, including determining the safety of astronauts and rovers or detecting geological points of interest, and can be applied to images from satellites, rovers, or other spacecraft.
The progress of the investigation is described in an article published on June 8 in the journal Planetary and space science.

While Microsoft is focused on its new system, Microsoft is committed to ensuring that Windows 11 continues to evolve. It will be supported for a few more years, so it should continue to receive news and improvements.

With what is being developed in Windows 11, there is an opportunity to bring these technologies to Windows 10. This will happen soon with the announcement of a new feature that will improve the printing experience in Windows 10.

Microsoft will mix features
Windows 11 is currently in development for Microsoft.  This system is being improved and tries to give users as much functionality as possible, thereby ensuring that this is a modern system, as the best there is.
What seems logical is to combine efforts and include features in both Microsoft systems.  So, what's next for Windows 10 is expected and important for its development, both for users and for what it offers them.
Windows 11 will contribute to Windows 10
In particular, Windows 10 will now be able to more precisely control the printing process.  This will have a new control that will prevent fingerprints from being created without the user's permission, or from being accumulated without the user's explicit intention.

This control will be as simple as using a PIN to block printing.  Only after user authorization will the document be sent to the printer to be converted into a plain sheet of paper.
More news expected in the future
By introducing this new feature to Windows 10, Microsoft wants users to save paper and ink cartridges.  At the same time, it provides greater security and guarantees user privacy, especially in environments with multiple printers.
Of course, this will only be the first moment when the functions of the two systems will be combined.  Microsoft will certainly increase this proximity and thus guarantee users the maximum even faster.