Mojette transform

The second characteristic is that the Mojette Transform is redundant, spreading the initial geometrical information into several projections.

In 2011, the book The Mojette Transform: Theory and Applications at ISTE-Wiley was well received by the scientific community.

The word "Mojette" comes from the name of white beans in Vendee, originally written "Moghette" or "Mojhette".

In many countries, bean is a basic educational tool representing an exact unit that teaches visually additions and subtractions.

Therefore, the choice of the name "Mojette" serves to emphasize the fact that the transform uses only exact unit in additions and subtractions.

The original purpose of the Mojette Transform was to create a discrete tool to divide the Fourier plane into angular and radial sectors.

In this application, the "Mojette Transform" is used as an erasure code in order to provide reliability, while significantly reducing the total amount of stored data when compared to classical techniques like replication (typically by a factor of 2).

Thus, it significantly reduces the cost of the storage cluster in terms of hardware, maintenance or energy consumption for example.

In 2010, Pierre Evenou, research engineer of the IVC team IRCCyN laboratory, decided to create the start-up Fizians (currently known as Rozo Systems) using this application.

In the field of medical imaging, the properties of the “Transform Mojette” create a direct mapping and solve the missing wedge problem.

The problem of obtaining exact “Mojette” values while using approximated data acquisition has been studied but has to be continued.

The companies have already financed several PhD students and participated in research projects in order to continue the development of the application in medical tomography.

By inserting "Mojette Transform" marks in images, one can authenticate documents using the same properties as in cryptography.