Mechanics of the eye movement: Geometry of the listing space

Ashoka D. Polpitiyat; Clyde F. Martin; Bijoy K. Ghosh; Wijesooriya P. Dayawansa

Mechanics of the eye movement: Geometry of the listing space

Ashoka D. Polpitiyat, Clyde F. Martin, Bijoy K. Ghosh, Wijesooriya P. Dayawansa

Mathematics and Statistics

Research output: Contribution to journal › Conference article › peer-review

7 Scopus citations

Abstract

There is physiological evidence to support the thesis that all saccadic eye movements obey Listing's law, which states that eye orientations form a subset consisting of rotation matrices of which the axes are orthogonal to the normal gaze direction. Here we analyze the geometry of this restricted configuration space (referred to as the Listing space). We also compare distances eye needs to travel subject to the Listing's law with geodesic distances in the rotation group.

Original language	English
Pages (from-to)	323-328
Number of pages	6
Journal	Proceedings of the American Control Conference
Volume	1
State	Published - 2004
Event	Proceedings of the 2004 American Control Conference (AAC) - Boston, MA, United States Duration: Jun 30 2004 → Jul 2 2004

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title = "Mechanics of the eye movement: Geometry of the listing space",

abstract = "There is physiological evidence to support the thesis that all saccadic eye movements obey Listing's law, which states that eye orientations form a subset consisting of rotation matrices of which the axes are orthogonal to the normal gaze direction. Here we analyze the geometry of this restricted configuration space (referred to as the Listing space). We also compare distances eye needs to travel subject to the Listing's law with geodesic distances in the rotation group.",

author = "Polpitiyat, {Ashoka D.} and Martin, {Clyde F.} and Ghosh, {Bijoy K.} and Dayawansa, {Wijesooriya P.}",

year = "2004",

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AU - Polpitiyat, Ashoka D.

AU - Martin, Clyde F.

AU - Ghosh, Bijoy K.

AU - Dayawansa, Wijesooriya P.

PY - 2004

Y1 - 2004

N2 - There is physiological evidence to support the thesis that all saccadic eye movements obey Listing's law, which states that eye orientations form a subset consisting of rotation matrices of which the axes are orthogonal to the normal gaze direction. Here we analyze the geometry of this restricted configuration space (referred to as the Listing space). We also compare distances eye needs to travel subject to the Listing's law with geodesic distances in the rotation group.

AB - There is physiological evidence to support the thesis that all saccadic eye movements obey Listing's law, which states that eye orientations form a subset consisting of rotation matrices of which the axes are orthogonal to the normal gaze direction. Here we analyze the geometry of this restricted configuration space (referred to as the Listing space). We also compare distances eye needs to travel subject to the Listing's law with geodesic distances in the rotation group.

UR - http://www.scopus.com/inward/record.url?scp=8744303551&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:8744303551

VL - 1

SP - 323

EP - 328

JO - Proceedings of the American Control Conference

JF - Proceedings of the American Control Conference

SN - 0743-1619

Y2 - 30 June 2004 through 2 July 2004

ER -