Paper Info
Title
On the Epipolar Geometry of the Crossed-Slits Projection
Abstract
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
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 Feldman1574.33
Tomas Pajdla23510242.90
Daphna Weinshall31780273.93