Abstract — We present a new retraction algorithm for high DOF articulated models and use our algorithm to improve the performance of RRT planners in narrow passages. The retraction step is formulated as a constrained optimization problem and performs iterative refinement on the boundary of C-Obstacle space. We also combine the retraction algorithm with decomposition planners to handle very high DOF articulated models. The performance of our approach is analyzed using Voronoi diagrams and we show that our retraction algorithm provides a good approximation to the ideal RRT-extension in constrained environments. We have implemented our algorithm and tested its performance on robots with more than 40 DOFs in complex environments. In practice, we observe significant performance (2-80X) improvement over prior RRT planners on challenging scenarios with narrow passages. I.

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Abstract — Many robot motion planning problems can be described as a combination of motion through relatively sparsely filled regions of configuration space and motion through tighter passages. Sample-based planners perform very effectively everywhere but in the tight passages. In this paper, we provide a method for parametrically describing workspace arrangements that are difficult for planners, and then learning a function that proposes partial paths through them as a function of the parameters. These suggested partial paths are then used to significantly speed up planning for new problems. I.

Abstract — We have recently proposed DSLX, a motion planner that significantly reduces the computational time for solving challenging kinodynamic problems by interleaving continuous state-space exploration with discrete search on a workspace decomposition. An important but inadequately understood aspect of DSLX is the role of the workspace decomposition on the computational efficiency of the planner. Understanding this role is important for successful applications of DSLX to increasingly complex robotic systems. This work shows that the granularity of the workspace decomposition directly impacts computational efficiency: DSLX is faster when the decomposition is neither too fine- nor too coarse-grained. Finding the right level of granularity can require extensive fine-tuning. This work demonstrates that significant computational efficiency can instead be obtained with no fine-tuning by using conforming Delaunay triangulations, which in the context of DSLX provide a natural workspace decomposition that allows an efficient interplay between continuous state-space exploration and discrete search. The results of this work are based on extensive experiments on DSLX using grid, trapezoidal, and triangular decompositions of various granularities to solve challenging first and second-order kinodynamic motion-planning problems. I.

Abstract — We present an efficient algorithm for complete motion planning that combines approximate cell decomposition (ACD) with probabilistic roadmaps (PRM). Our approach uses ACD to subdivide the configuration space into cells and computes localized roadmaps by generating samples within these cells. We augment the connectivity graph for adjacent cells in ACD with pseudo-free edges that are computed based on localized roadmaps. These roadmaps are used to capture the connectivity of free space and guide the adaptive subdivision algorithm. At the same time, we use cell decomposition to check for path non-existence and generate samples in narrow passages. Overall, our hybrid algorithm combines the efficiency of PRM methods with the completeness of ACD-based algorithms. We have implemented our algorithm on 3-DOF and 4-DOF robots. We demonstrate its performance on planning scenarios with narrow passages or no collision-free paths. In practice, we observe up to 10 times improvement in performance over prior complete motion planning algorithms. I.

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Abstract—This paper proposes a robotics-inspired method to enhance sampling of native-like protein conformations when employing only amino-acid sequence. Computing such conformations, essential to associate structural and functional information withgenesequences,ischallengingduetothehigh-dimensionality and the rugged energy surface of the protein conformational space. The contribution of this work is a novel two-layered method to enhance the sampling of geometrically-distinct lowenergy conformations at a coarse-grained level of detail. The method grows a tree in conformational space reconciling two goals:(i)guidingthetreetowardslowerenergiesand(ii)notoversampling geometrically-similar conformations. Discretizations of the energy surface and a low-dimensional projection space are employed to select more often for expansion low-energy conformations in under-explored regions of the conformational space. The tree is expanded with low-energy conformations through a Metropolis Monte Carlo framework that uses a move set of physical fragment configurations. Testing on sequences of seven small-to-medium structurally-diverse proteins shows that the method rapidly samples native-like conformations in a few hours on a single CPU. Analysis shows that computed conformations are good candidates for further detailed energetic refinements by larger studies in protein engineering and design. I.

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