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Hybrid Motion Planning Using Minkowski Sums

https://doi.org/10.15607/rss.2008.iv.013

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/10991541_25openalex-snapshot

A Machine Learning Approach for Feature-Sensitive Motion Planning

inferredcites →https://doi.org/10.1007/978-1-4613-8997-2_20openalex-snapshot

Spatial Planning: A Configuration Space Approach

inferredcites →https://doi.org/10.1007/978-3-540-45058-0_15openalex-snapshot

Hybrid Motion Planning: Coordinating Two Discs Moving among Polygonal Obstacles in the Plane

inferredcites →https://doi.org/10.1007/978-3-540-68405-3_18openalex-snapshot

RESAMPL: A Region-Sensitive Adaptive Motion Planner

inferredcites →https://doi.org/10.1007/978-3-540-68405-3_4openalex-snapshot

Incremental Map Generation (IMG)

inferredcites →https://doi.org/10.1007/bf02187878openalex-snapshot

Computing convolutions by reciprocal search

inferredcites →https://doi.org/10.1016/0097-8493(92)90077-9openalex-snapshot

Solid-interpolating deformations: Construction and animation of PIPs

inferredcites →https://doi.org/10.1016/0097-8493(93)90023-3openalex-snapshot

A unified computational framework for Minkowski operations

inferredcites →https://doi.org/10.1016/j.cad.2007.05.017openalex-snapshot

Exact and efficient construction of Minkowski sums of convex polyhedra with applications

inferredcites →https://doi.org/10.1016/j.gmod.2005.11.003openalex-snapshot

Accurate Minkowski sum approximation of polyhedral models

inferredcites →https://doi.org/10.1016/j.gmod.2007.01.001openalex-snapshot

Minkowski sum boundary surfaces of 3D-objects

inferredcites →https://doi.org/10.1016/j.jsc.2003.08.007openalex-snapshot

From the zonotope construction to the Minkowski addition of convex polytopes

inferredcites →https://doi.org/10.1016/s0898-1221(98)90095-5openalex-snapshot

Computational geometry: Algorithms and applications

inferredcites →https://doi.org/10.1109/70.508439openalex-snapshot

Probabilistic roadmaps for path planning in high-dimensional configuration spaces

inferredcites →https://doi.org/10.1109/70.864240openalex-snapshot

Choosing good distance metrics and local planners for probabilistic roadmap methods

inferredcites →https://doi.org/10.1109/iros.2004.1389627openalex-snapshot

Workspace importance sampling for probabilistic roadmap planning

inferredcites →https://doi.org/10.1109/iros.2007.4399064openalex-snapshot

A hybrid approach for complete motion planning

inferredcites →https://doi.org/10.1109/pg.2007.47openalex-snapshot

Radiometric Compensation through Inverse Light Transport

inferredcites →https://doi.org/10.1109/pg.2007.49openalex-snapshot

Point-Based Minkowski Sum Boundary

inferredcites →https://doi.org/10.1109/robot.1996.503582openalex-snapshot

A randomized roadmap method for path and manipulation planning

inferredcites →https://doi.org/10.1109/robot.1998.677043openalex-snapshot

Choosing good distance metrics and local planners for probabilistic roadmap methods

inferredcites →https://doi.org/10.1109/robot.1999.772447openalex-snapshot

The Gaussian sampling strategy for probabilistic roadmap planners

inferredcites →https://doi.org/10.1109/robot.2000.844730openalex-snapshot

RRT-connect: An efficient approach to single-query path planning

inferredcites →https://doi.org/10.1109/robot.2000.844795openalex-snapshot

A framework for using the workspace medial axis in PRM planners

inferredcites →https://doi.org/10.1109/robot.2004.1307191openalex-snapshot

Using workspace information as a guide to non-uniform sampling in probabilistic roadmap planners

inferredcites →https://doi.org/10.1109/robot.2005.1570712openalex-snapshot

Hybrid PRM Sampling with a Cost-Sensitive Adaptive Strategy

inferredcites →https://doi.org/10.1109/tc.1983.1676196openalex-snapshot

Spatial Planning: A Configuration Space Approach

inferredcites →https://doi.org/10.1137/0406019openalex-snapshot

Minkowski Addition of Polytopes: Computational Complexity and Applications to Gröbner Bases

inferredcites →https://doi.org/10.1137/1.9781611972863.1openalex-snapshot

Exact and Efficient Construction of Minkowski Sums of Convex Polyhedra with Applications

inferredcites →https://doi.org/10.1177/02783640122067354openalex-snapshot

Planning Paths for Elastic Objects under Manipulation Constraints

inferredcites →https://doi.org/10.1177/0278364905060132openalex-snapshot

Using Workspace Information as a Guide to Non-uniform Sampling in Probabilistic Roadmap Planners

inferredcites →https://doi.org/10.1201/9781439863886-18openalex-snapshot

On Finding Narrow Passages with Probabilistic Roadmap Planners

inferredcites →https://doi.org/10.1201/9781439863886-19openalex-snapshot

OBPRM: An Obstacle-Based PRM for 3D Workspaces

inferredcites →https://doi.org/10.1201/9781439864135-48openalex-snapshot

Notes on Visibility Roadmaps and Path Planning

inferredcites →https://doi.org/10.15607/rss.2005.i.004openalex-snapshot

Star-shaped Roadmaps - A Deterministic Sampling Approach for Complete Motion Planning

inferredcites →https://doi.org/10.15607/rss.2005.i.015openalex-snapshot

Toward Optimal Configuration Space Sampling

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/978-3-030-44051-0_1openalex-snapshot

Path Planning for Ellipsoidal Robots and General Obstacles via Closed-Form Characterization of Minkowski Operations

inferred← citeshttps://doi.org/10.1007/978-3-642-00312-7_25openalex-snapshot

A Simple Method for Computing Minkowski Sum Boundary in 3D Using Collision Detection

inferred← citeshttps://doi.org/10.1007/978-3-642-23719-5_42openalex-snapshot

Motion Planning via Manifold Samples

inferred← citeshttps://doi.org/10.1007/978-3-642-36279-8_19openalex-snapshot

On the Power of Manifold Samples in Exploring Configuration Spaces and the Dimensionality of Narrow Passages

inferred← citeshttps://doi.org/10.1016/j.cad.2011.06.022openalex-snapshot

Voxelized Minkowski sum computation on the GPU with robust culling

inferred← citeshttps://doi.org/10.1016/j.cad.2013.08.021openalex-snapshot

A sweep and translate algorithm for computing voxelized 3D Minkowski sums on the GPU

inferred← citeshttps://doi.org/10.1016/j.cad.2021.103133openalex-snapshot

Closed-form Minkowski sums of convex bodies with smooth positively curved boundaries

inferred← citeshttps://doi.org/10.1016/j.cagd.2008.06.006openalex-snapshot

Covering Minkowski sum boundary using points with applications

inferred← citeshttps://doi.org/10.1109/cdc57313.2025.11312188openalex-snapshot

Control Barrier Functions via Minkowski Operations for Safe Navigation among Polytopic Sets

inferred← citeshttps://doi.org/10.1109/icmcr69541.2026.11533928openalex-snapshot

Safe Navigation using Neural Radiance Fields via Reachable Sets

inferred← citeshttps://doi.org/10.1109/icra.2011.5979992openalex-snapshot

Dynamic Minkowski sum of convex shapes

inferred← citeshttps://doi.org/10.1109/iros.2011.6094436openalex-snapshot

Finding critical changes in dynamic configuration spaces

inferred← citeshttps://doi.org/10.1109/iros.2011.6094448openalex-snapshot

Computing unions of Inevitable Collision States and increasing safety to unexpected obstacles

inferred← citeshttps://doi.org/10.1109/iros.2013.6697185openalex-snapshot

Multi-robot caravanning

inferred← citeshttps://doi.org/10.1109/iros.2014.6943082openalex-snapshot

Sampling based motion planning with reachable volumes: Application to manipulators and closed chain systems

inferred← citeshttps://doi.org/10.1109/robot.2010.5509369openalex-snapshot

Probabilistic collision state checker for crowded environments

inferred← citeshttps://doi.org/10.1109/tase.2014.2331983openalex-snapshot

On the Power of Manifold Samples in Exploring Configuration Spaces and the Dimensionality of Narrow Passages

inferred← citeshttps://doi.org/10.1109/tpami.2013.67openalex-snapshot

Minimum Near-Convex Shape Decomposition

inferred← citeshttps://doi.org/10.1109/tro.2022.3187818openalex-snapshot

Efficient Path Planning in Narrow Passages for Robots With Ellipsoidal Components

inferred← citeshttps://doi.org/10.1109/tro.2024.3390052openalex-snapshot

PRIMP: PRobabilistically-Informed Motion Primitives for Efficient Affordance Learning From Demonstration

inferred← citeshttps://doi.org/10.1115/detc2014-35561openalex-snapshot

Collision Prediction: Conservative Advancement Among Obstacles With Unknown Motion

inferred← citeshttps://doi.org/10.1145/1839778.1839783openalex-snapshot

A GPU-based voxelization approach to 3D Minkowski sum computation

inferred← citeshttps://doi.org/10.1177/0278364918779555openalex-snapshot

Sampling-based motion planning with reachable volumes for high-degree-of-freedom manipulators

inferred← citeshttps://doi.org/10.13021/mars/4954openalex-snapshot

Path Planning in Similar Environments

inferred← citeshttps://doi.org/10.15607/rss.2009.v.012openalex-snapshot

Planning motion in environments with similar obstacles

inferred← citeshttps://doi.org/10.31274/td-20240329-368openalex-snapshot

GPU-accelerated geometric algorithms for computational modeling and simulation

inferred← citeshttps://doi.org/10.32657/10356/50691openalex-snapshot

Shape based hand gesture recognition

inferred← citeshttps://doi.org/10.48550/arxiv.1909.05516openalex-snapshot

Inverse Graphical Method for Global Optimization and Application to Design Centering Problem

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