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Publication# The spherical approach to omnidirectional visual attention

Abstract

Computational visual attention (VA) has been widely investigated during the last three decades but the conventional algorithms are not suitable for omnidirectional images which often contain a significant amount of radial distortion. Only recently a computational approach was proposed that processes images in the spherical (non-Euclidian) space and produces attention maps with a direction independent homogeneous response. This paper investigates how this spherical approach applies to real scenes and particularly to different omnidirectional visual sensors. Reported experiments refer to omnidirectional images obtained from a multi-camera omnidirectional sensor as well as a parabolic and a hyperbolic catadioptric image sensor.

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Related concepts (32)

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Sphere

A sphere () is a geometrical object that is a three-dimensional analogue to a two-dimensional circle. Formally, a sphere is the set of points that are all at the same distance r from a given point in three-dimensional space. That given point is the centre of the sphere, and r is the sphere's radius. The earliest known mentions of spheres appear in the work of the ancient Greek mathematicians. The sphere is a fundamental object in many fields of mathematics. Spheres and nearly-spherical shapes also appear in nature and industry.

Spherical trigonometry

Spherical trigonometry is the branch of spherical geometry that deals with the metrical relationships between the sides and angles of spherical triangles, traditionally expressed using trigonometric functions. On the sphere, geodesics are great circles. Spherical trigonometry is of great importance for calculations in astronomy, geodesy, and navigation. The origins of spherical trigonometry in Greek mathematics and the major developments in Islamic mathematics are discussed fully in History of trigonometry and Mathematics in medieval Islam.

Spherical geometry

Spherical geometry is the geometry of the two-dimensional surface of a sphere. Long studied for its practical applications – spherical trigonometry – to navigation, spherical geometry bears many similarities and relationships to, and important differences from, Euclidean plane geometry. The sphere has for the most part been studied as a part of 3-dimensional Euclidean geometry (often called solid geometry), the surface thought of as placed inside an ambient 3-d space.

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