Distinguishing Aspects of Geometric Wavar
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These geometric methods of sonar begin by organizing an array into triangulating subsets, each of an appropriate number of sensors. Each subset both detects and checks possible sources of sound.
There is a variety of alternative sub-methods for computing representations of sources of sound. One sub-variety, call it Surfaces, detects prospective hitpoints via surfaces of geometry and checks those points via a separate operation. Another sub-variety, call it Grids, searches a pre-computed grid and, in effect, combines detecting and checking into the search.
A Grids method was generating computer-animations in 2005. A Grid is predifined in front of the Device. At each point P of Grid, and for each sensor M of Device, is precomputed, and stored, the sum of the time of travel from Clicker to P plus the time of travel from P to M. A Grids method was introduced in U.S. Patent "Echo scope."
In the methods of Surfaces, representations of sources of fangs are computed by means of the geometry of conic surfaces that are themselves each determined by toas at known locations and, in case of active sonar-imaging, by the position and time of emission of a click. Surfaces methods have recently (2013) been used in simulations of Feature-Based Passive sonar.
"Toa" stands for Time-Of-Arrival of an instance of a Feature of a wave.
An echoscope has an array of sensors of waves. The waves have Features -- Hill and Valley being two possible examples.
More of the components of the methods of computation of images from the echoes of clicks of dolphins are to appear here. But, some must wait on the progress of patent-applications.
It seems impossible for cochleae to carry the 3D information needed for sonic imaging as done by dolphins.