TY - JOUR

T1 - On the epipolar geometry of the crossed-slits projection

AU - Feldman, Doron

AU - Pajdla, Tomáŝ

AU - Weinshall, Daphna

PY - 2003

Y1 - 2003

N2 - The Crossed-Slits (X-Slits) camera is defined by two non-intersecting 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 conies in the image plane. Unlike the pinhole 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.

AB - The Crossed-Slits (X-Slits) camera is defined by two non-intersecting 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 conies in the image plane. Unlike the pinhole 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.

UR - http://www.scopus.com/inward/record.url?scp=0344120681&partnerID=8YFLogxK

U2 - 10.1109/iccv.2003.1238456

DO - 10.1109/iccv.2003.1238456

M3 - Conference article

AN - SCOPUS:0344120681

SN - 1550-5499

VL - 2

SP - 988

EP - 995

JO - Proceedings of the IEEE International Conference on Computer Vision

JF - Proceedings of the IEEE International Conference on Computer Vision

T2 - NINTH IEEE INTERNATIONAL CONFERENCE ON COMPUTER VISION

Y2 - 13 October 2003 through 16 October 2003

ER -