Computer Graphics Techniques in Military Applications

Dimitrios Christou (), Antonios Danelakis (), Marilena Mitrouli () and Dimitrios Triantafyllou ()
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Dimitrios Christou: City University
Antonios Danelakis: University of Athens
Marilena Mitrouli: University of Athens
Dimitrios Triantafyllou: Hellenic Army Academy

Chapter Chapter 6 in Applications of Mathematics and Informatics in Military Science, 2012, pp 77-85 from Springer

Abstract: Abstract The determination of intersection points of plane curves is a problem of Computer Graphics with many applications in Applied Mathematics, Numerical Analysis and many other scientific fields. More precisely, in military applications, the trajectories of two flying objects such as missiles, aircrafts etc, can be interpreted by two plane curves. Our scope is to find the intersection points of the given curves. The number of floating point operations (flops) of many classical methods is not satisfactory, since they demand over O(n 4) operations. Conversely, many algorithms that are fast enough, have serious problems with their numerical stability. The main objective here is to develop fast and stable algorithms computing the intersection points of plane curves. The error analysis and the computation of complexity of all the proposed methods are analysed and demonstrated through various examples.

Keywords: Intersection points; Plane curves; Symbolic-numeric computations; Modified Sylvester matrix; Singular value decomposition (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/978-1-4614-4109-0_6

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