TY - JOUR
T1 - Join tensors
T2 - On 3D-to-3D alignment of dynamic sets
AU - Wolf, Lior
AU - Shashua, Amnon
AU - Wexler, Yoni
PY - 2000
Y1 - 2000
N2 - This paper introduces a family of 4 × 4 × 4 tensors, referred to as "join tensors" or Jtensorsfor short, which perform "3D to 3D" alignment between coordinate systems of sets of dynamic 3D points. 3D Configurations of points are obtained by a 3D measuring device (such as a structured light or laser range sensor, or a stereo rig) at times t1, t2, t3 from different viewing positions in addition to the motion of the sensor the points are also allowed to move in space; each point can move along an arbitrary straight-line path - we refer to this situation as "dynamic". The problem is to recover the motion of the sensor given the 3D correspondences of the points over time. We introduce Jtensors to capture the problem described above. Three observations P, P′, P″ of a point measured at three time instants contribute a linear measurement to the Jtensor, regardless of whether the point has moved in space or has remained stationary while the sensor has changed position.
AB - This paper introduces a family of 4 × 4 × 4 tensors, referred to as "join tensors" or Jtensorsfor short, which perform "3D to 3D" alignment between coordinate systems of sets of dynamic 3D points. 3D Configurations of points are obtained by a 3D measuring device (such as a structured light or laser range sensor, or a stereo rig) at times t1, t2, t3 from different viewing positions in addition to the motion of the sensor the points are also allowed to move in space; each point can move along an arbitrary straight-line path - we refer to this situation as "dynamic". The problem is to recover the motion of the sensor given the 3D correspondences of the points over time. We introduce Jtensors to capture the problem described above. Three observations P, P′, P″ of a point measured at three time instants contribute a linear measurement to the Jtensor, regardless of whether the point has moved in space or has remained stationary while the sensor has changed position.
UR - http://www.scopus.com/inward/record.url?scp=13444284670&partnerID=8YFLogxK
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AN - SCOPUS:13444284670
SN - 1051-4651
VL - 15
SP - 388
EP - 391
JO - Proceedings - International Conference on Pattern Recognition
JF - Proceedings - International Conference on Pattern Recognition
IS - 1
ER -