The contour problem for restricted-orientation polygons
Article Abstract:
The problem of finding the contour of the union of a collection of polygons with particular traits is examined. Those traits include the situation where all vertices have integer coordinates, and where the slopes of the sides belong to a finite fixed collection of orientations. The problem can be studied from two perspectives. One perspective involves algorithms for finding the contour of the union for rectilinear polygons and/or rectangles where the algorithms can be generalized to handle polygons with sides of two or more additional directions while still retaining efficiency. The other involves algorithms for computing the union of arbitrary polygons in general position where they can be revised to handle degeneracies and use the restricted number or orientations to improve efficiency and/or robustness. Rectilinear algorithms, generalizing to polygons with slanted edges and general algorithms are discussed.
Publication Name: Proceedings of the IEEE
Subject: Electronics
ISSN: 0018-9219
Year: 1992
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Coaxial circular array: studies related to sidelobe suppressed beam patterns for underwater transducer application
Article Abstract:
An analysis of sidelobe beam patterns in coaxial circular array transducers used in many sonar applications shows reveals that multiplicative array techniques offer superior suppression of sidelobes, generally well below -20 dB. Multiplicative processing in the cited example consists of multiplying the added output of eight elements in each of three circles of the array by each other. Use of tilted element patterns in coaxial circular arrays is shown to not provide sufficient sidelobe suppression to be useful.
Publication Name: Proceedings of the IEEE
Subject: Electronics
ISSN: 0018-9219
Year: 1988
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Characteristic Impedance of Coaxial Lines Bounded by N-Regular Polygons
Article Abstract:
The conformal mapping method is combined with a result of the domain variational theory for a method of obtaining values of characteristic impedances of a transmission line. The formulation can be used for fast calculation on a pocket calculator. A table lists characteristic impedances for varying N-regular polygons.
Publication Name: Proceedings of the IEEE
Subject: Electronics
ISSN: 0018-9219
Year: 1984
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