Abstract | ||
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The Crossed-Slits (X-Slits) camera is defined by two nonintersecting slits, which replace the pinhole in the common perspective camera. Each point in space is projected to the image plane by a ray which passes through the point and the two slits. The X-Slits projection model includes the pushbroom camera as a special case. In addition, it describes a certain class of panoramic images, which are generated from sequences obtained by translating pinhole cameras. In this paper we develop the epipolar geometry of the X-Slits projection model. We show an object which is similar to the fundamental matrix; our matrix, however, describes a quadratic relation between corresponding image points (using the Veronese mapping). Similarly the equivalent of epipolar lines are conics in the image plane. Unlike the pin-hole case, epipolar surfaces do not usually exist in the sense that matching epipolar lines lie on a single surface; we analyze the cases when epipolar surfaces exist, and characterize their properties. Finally, we demonstrate the matching of points in pairs of X-Slits panoramic images. |
Year | DOI | Venue |
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2003 | 10.1109/ICCV.2003.1238456 | Nice, France |
Keywords | Field | DocType |
crossed-slits projection,describesa quadratic relation,corresponding image point,x-slits panoramic image,epipolar geometry,x-slitsprojection model,epipolar line,fundamental matrix,commonperspective camera,epipolar surface,x-slits projection model,stereo vision,conics,image plane,matrices,machine vision,computer vision | Computer vision,Triangulation (computer vision),Epipolar geometry,Computer science,Image plane,Plücker matrix,Artificial intelligence,Camera matrix,Conic section,Fundamental matrix (computer vision),Pinhole camera model | Conference |
ISBN | Citations | PageRank |
0-7695-1950-4 | 33 | 2.17 |
References | Authors | |
10 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Doron Feldman | 1 | 57 | 4.33 |
Tomas Pajdla | 2 | 3510 | 242.90 |
Daphna Weinshall | 3 | 1780 | 273.93 |