L. E. Kavraki. On the number of equilibrium place- ments of mass distributions in elliptic potential fields. TR STAN-CS-TR-1995-1559, Strafford Univ., Dec 1995.  Home/Search   Document Details and Download   Summary   Related Articles   Check

....manipulation strategies for unique part alignment. We then showed that by using a combined radial and squeeze field R ffiS, the number of equilibria can be reduced to O(k n) Using elliptic force fields f(x; y) ffx; fiy) such that ff 6= fi and ff; fi 6= 0, this bound can be reduced to two [42, 41]. An inertial squeeze field f(x; y) Gammasign(x)x 2 ; 0) uniquely orients a part modulo field symmetry [23] In a stable equilibrium, the part s major principal axis of inertia lines up with the squeeze line to minimize the second moment of inertia. Does there exist a universal field ....

Lydia E. Kavraki. On the number of equilibrium placements of mass distributions in elliptic potential fields. Technical Report STAN-CS-TR-951559, Department of Computer Science, Stanford University, Stanford, CA 94305, 1995.

....for unique part alignment. Bohringer and Donald showed in [7] that by using a combined radial and squeeze field R ffiS, the number of equilibria can be reduced to O(k n) Using elliptic force fields f(x; y) ffx; fiy) such that ff 6= fi and ff; fi 6= 0, this bound can be reduced to 2 [30]. Does there exist a universal field that, for every part P , has only one unique equilibrium (up to part symmetry) Such a field could be used to build a universal parts feeder [1] that uniquely positions a part without the need of a clock, sensors, or programming. Bohringer and Donald propose in ....

L. E. Kavraki. On the number of equilibrium placements of mass distributions in elliptic potential fields. Technical Report STAN-CS-TR-95-1559, Department of Computer Science, Stanford University, Stanford, CA 94305, 1995.

....strategies for unique part alignment. We showed in Section 6. 1 that by using a combined radial and squeeze field R ffiS, the number of equilibria can be reduced to O(k n) Using elliptic force fields f(x; y) ffx; fiy) such that ff 6= fi and ff; fi 6= 0, this bound can be reduced to 2 [29]. Does there exist a universal field that, for every part P , has only one unique equilibrium (up to part symmetry) Such a field could be used to build a universal parts feeder [1] Upper and Lower Bounds for Programmable Vector Fields that uniquely positions a part without the need of a clock, ....

L. E. Kavraki. On the number of equilibrium placements of mass distributions in elliptic potential fields. Technical Report STAN-CS-TR-951559, Department of Computer Science, Stanford University, Stanford, CA 94305, 1995.

....strategies for unique part alignment. We showed in Section 6. 1 that by using a combined radial and squeeze field R ffiS, the number of equilibria can be reduced to O(k n) Using elliptic force fields f(x; y) ffx; fiy) such that ff 6= fi and ff; fi 6= 0, this bound can be reduced to 2 [35]. Does there exist a universal field that, for every part P , has only one unique equilibrium (up to part symmetry) Such a field could be used to build a universal parts feeder [1] that uniquely positions a part without the need of a clock, sensors, or programming. We propose a combined radial ....

L. E. Kavraki. On the number of equilibrium placements of mass distributions in elliptic potential fields. Technical Report STAN-CS-TR-95-1559, Department of Computer Science, Stanford University, Stanford, CA 94305, 1995.

....strategies for unique part alignment. We showed in Section 6. 1 that by using a combined radial and squeeze field R ffiS, the number of equilibria can be reduced to O(k n) Using elliptic force fields f(x; y) ffx; fiy) such that ff 6= fi and ff; fi 6= 0, this bound can be reduced to 2 [31]. Does there exist a universal field that, for every part P , has only one unique equilibrium (up to part symmetry) Such a field could be used to build a universal parts feeder [1] that uniquely positions a part without the need of a clock, sensors, or programming. We propose a combined radial ....

Lydia E. Kavraki. On the number of equilibrium placements of mass distributions in elliptic potential fields. Technical Report STAN-CS-TR-951559, Department of Computer Science, Stanford University, Stanford, CA 94305, 1995.

....for unique part alignment. Bohringer and Donald showed in [7] that by using a combined radial and squeeze field R ffiS, the number of equilibria can be reduced to O(k n) Using elliptic force fields f(x; y) ffx; fiy) such that ff 6= fi and ff; fi 6= 0, this bound can be reduced to two [27]. An inertial squeeze field f(x; y) Gammasign(x)x 2 ; 0) uniquely orients a part modulo field symmetry . In a stable equilibrium, the part s major principal axis of inertia lines up with the squeeze line to minimize the second moment of inertia. Does there exist a universal field that, ....

L. E. Kavraki. On the number of equilibrium placements of mass distributions in elliptic potential fields. Technical Report STAN-CS-TR-95-1559, Department of Computer Science, Stanford University, Stanford, CA 94305, 1995.

....manipulation strategies for unique part alignment. We then showed that by using a combined radial and squeeze field R ffiS, the number of equilibria can be reduced to O(k n) Using elliptic force fields f(x; y) ffx; fiy) such that ff 6= fi and ff; fi 6= 0, this bound can be reduced to two [41, 40]. An inertial squeeze field f(x; y) Gammasign(x)x 2 ; 0) uniquely orients a part modulo field symmetry [21] In a stable equilibrium, the part s major principal axis of inertia lines up with the squeeze line to minimize the second moment of inertia. Does there exist a universal field ....

L. E. Kavraki. On the number of equilibrium placements of mass distributions in elliptic potential fields. Technical Report STAN-CS-TR-95-1559, Department of Computer Science, Stanford University, Stanford, CA 94305, 1995.

....manipulation strategies for unique part alignment. We then showed that by using a combined radial and squeeze field R ffiS, the number of equilibria can be reduced to O(k n) Using elliptic force fields f(x; y) ffx; fiy) such that ff 6= fi and ff; fi 6= 0, this bound can be reduced to two [45, 44]. An inertial squeeze field f(x; y) Gammasign(x)x 2 ; 0) uniquely orients a part modulo field symmetry [23] In a stable equilibrium, the part s major principal axis of inertia lines up with the squeeze line to minimize the second moment of inertia. Does there exist a universal field ....

L. E. Kavraki. On the number of equilibrium placements of mass distributions in elliptic potential fields. Technical Report STAN-CS-TR-95-1559, Department of Computer Science, Stanford University, Stanford, CA 94305, 1995.

....one of the ques tions in [5] namely does there exist a vector field that can orient parts to one stable equilibrium. The vector field we propose arises from an elliptic potential and orients asymmetric parts into two stable equilibria which differ by r. This result was initially sketched in [12]. Borrowing our terminology from physics, we refer below to parts as mass distributions over . We also use the word vector field and force field interchangeably. 3 Equilibrium Configurations in Elliptic Potential Fields Let w: be a mass distribution function. For our analysis we ....

L. E. Kavraki. On the number of equilibrium place- ments of mass distributions in elliptic potential fields. TR STAN-CS-TR-1995-1559, Strafford Univ., Dec 1995.

....one of the questions in [5] namely does there exist a vector field that can orient parts to one stable equilibrium. The vector field we propose arises from an elliptic potential and orients asymmetric parts into two stable equilibria which differ by . This result was initially sketched in [12]. Borrowing our terminology from physics, we refer below to parts as mass distributions over R 2 . We also use the word vector field and force field interchangeably. 3 Equilibrium Configurations in Elliptic Potential Fields Let w : R 2 R be a mass distribution function. For our ....

L. E. Kavraki. On the number of equilibrium placements of mass distributions in elliptic potential fields. TR STAN-CS-TR-1995-1559, Stanford Univ., Dec 1995.

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Kavraki, Lydia E. 1995. On the number of equilibrium placements of mass distributions in elliptic potential fields.

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Lydia E. Kavraki. On the number of equilibrium placements of mass distributions in elliptic potential fields. Technical Report STAN-CS-TR-95-1559, Department of Computer Science, Stanford University, Stanford, CA 94305, 1995.

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