| G. Song, N. Amato, A motion-planning approach to folding: From paper craft to protein folding, IEEE Transactions on Robotics and Automation 20 (1) (2004) pp. 60--71. |
....elastic sheet in [41] The robot is represented using a 3x3 B ezier surface although the authors claim their approach is not limited to any speci c geometric representation. Work in this area is quite complex and the treatment in this paper is interesting but thus far preliminary. 3. Folding In [63], foldable objects (paper and proteins) are modeled as tree like multi link objects with many degrees of freedom. PRM techniques are used to determine if one object can be folded (or unfolded) into another object and also to provide a tool for investigating the dynamic folding process itself. ....
G. Song and N. M. Amato, \Motion planning approach to folding: From paper craft to protein structure prediction," Technical Report, Dept. of Computer Science, Texas A&M University, College Station, TX, 1999.
.... was used in conjunction with forward and inverse kinematics for problems involving closed chain systems, 12] uses energy minimization techniques in a prm based approach for exible objects, and biased sampling around the (known) goal con guration was used to compute protein folding pathways in [25, 26]. Our approach to the disassembly problem involves biasing the sampling based on the geometric characteristics of con gurations known to be reachable from the assembled con guration (the start) In particular, information based on the relative positions of the parts in one con guration will be ....
G. Song and N. M. Amato. A motion planning approach to folding: From paper craft to protein folding. In Proc. IEEE Int. Conf. Robot. Autom. (ICRA), 2001. To appear.
.... to a number of challenging problems arising in a variety of elds including robotics (e.g. closed chain systems [9, 15] CAD (e.g. assembly [23] maintainability [3, 7] deformable objects [2, 10] and even computational Biology and Chemistry (e.g. ligand docking [4, 18] protein folding [20, 21]) Indeed, it can be argued that the prm framework was instrumental in this broadening of the range of applicability of motion planning, as many of these problems had never before been considered candidates for automatic methods. Customizable PRM (C PRM) In this work, we apply the prm ....
G. Song and N. M. Amato. A motion planning approach to folding: From paper craft to protein folding. In Proc. IEEE Int. Conf. Robot. Autom. (ICRA), 2001. To appear.
....con guration spaces. Indeed, the prm methodology has been used to study the related problem of ligand binding [36] which is of interest in drug design. The results were quite promising and show the potential of the method for problems in computational biology and chemistry. Our success [37] in applying this methodology to folding problems such as carton folding (with applications in packaging and assembly [30] and paper crafts (studied in computational geometry [33] provided some evidence of the feasibility of this approach for determining protein folding sequences. For example, ....
....[30] and paper crafts (studied in computational geometry [33] provided some evidence of the feasibility of this approach for determining protein folding sequences. For example, note the parallels between periscope and protein folding in the path snapshots shown in Figures 1 and 2, respectively [37]. Our experimental results with small proteins of approximately 60 residues (modeled using approximately 120 degrees of freedom) are quite promising. There are large and ongoing research e orts whose goal is to determine the native folds of proteins (see, e.g. 19, 27] In this paper, we assume ....
G. Song and N. M. Amato. Motion planning approach to folding: From paper craft to protein structure prediction. Technical Report TR00-001, Department of Computer Science, Texas A&M University, January 2000.
....con guration spaces. Indeed, the prm methodology has been used to study the related problem of ligand binding [27] which is of interest in drug design. The results were quite promising and show the potential of the method for problems in computational biology and chemistry. Our success [28] in applying this methodology to folding problems such as carton folding (with applications in packaging and assembly [22] and paper crafts (studied in computational geometry [24] provided some evidence of the feasibility of this approach for determining protein folding sequences. For example, ....
G. Song and N. M. Amato. Motion planning approach to folding: From paper craft to protein structure prediction. Technical Report TR00-001, Department of Computer Science, Texas A&M University, January 2000.
.... were applied to a number of challenging problems arising in a variety of elds including robotics (e.g. closed chain systems [10, 18] CAD (e.g. maintainability [3, 7] deformable objects [2, 14] and even computational Biology and Chemistry (e.g. ligand docking [22] protein folding [23]) Indeed, it can be argued that the prm framework was instrumental in this broadening of the range of applicability of motion planning, as many of these problems had never before been considered candidates for automatic methods. At the same time, these new applications served to point out some ....
....In particular, instead of geometric collision detection tests, we need to determine if the potential energy of the con gurations (called conformations) is low enough. Similarly, the validity of an edge is determined by computing a weight which is dependent 8 on the potential values along the edge [22, 23]: W eight = N 1 X i=0 log(P i ) where, P i = e E kT if E 0 1 if E 0 Note that some intermediate nodes along the edge need to be checked to estimate the path weight. Thus, approximation schemes, such as the overlapping spheres, which depend only on the endpoints cannot be ....
[Article contains additional citation context not shown here]
G. Song and N. M. Amato. A motion planning approach to folding: From paper craft to protein folding. Technical Report TR00-017, Department of Computer Science, Texas A&M University, July 2000.
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G. Song, N. Amato, A motion-planning approach to folding: From paper craft to protein folding, IEEE Transactions on Robotics and Automation 20 (1) (2004) pp. 60--71.
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G. Song and N. M. Amato. A motion planning approach to folding: From paper craft to protein folding. In Proceedings of the IEEE International Conference on Robotics and Automation, pages 948--953, May 2001. 65
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G. Song and N. M. Amato, A Motion Planning Approach to Folding: From Paper Craft to Protein Structure Prediction, Technical Report 00-001, Department of Computer Science, Texas A&M University, January 17, 2000.
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