By Dirk J. Struik
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The scientific community is constantly consulted for guidance on how to make the best use of these computing capabilities or the huge amounts of data collected by the global observing system. The research that needs to be done is often the result of exchange of ideas between different disciplines. The advent of quadri-dimensional data assimilation (4D-Var) is a nice example. It was the result from discussions between atmospheric dynamicists and mathematicians working on control theory. Dynamicists were interested to understand the genesis of weather systems that develop in just a few days.
Because of the scarcity of obserations, the extension of reanalyses to the beginning of the 20th century presents a challenge. From the experience gained in using 4D-Var, it is known that because it embeds the dynamics of the atmosphere within the assimilation process, it has the ability to “propagate” information in a dynamically consistent way to regions that are poorly observed. , 2008] showed that with 4D-Var, it is possible to reconstruct the complete state of the atmosphere using only surface observations.
To appear in Mon Wea. Rev. fr Abstract. In this paper, the problem of digital circular arcs recognition is investigated in a new way. The main contribution is a simple and linear-time algorithm for solving three subproblems: online recognition of digital circular arcs coming from the digitization of a disk having either a given radius, a boundary that is incident to a given point, or a center that is on a given straight line. Solving these subproblems is interesting in itself, but also for the recognition of digital circular arcs.