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A fast procedure for computing the distance between complex objects in three-dimensional space

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What this work says

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

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On the “piano movers'” problem I. The case of a two‐dimensional rigid polygonal body moving amidst polygonal barriers
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Finding the nearest point in A polytope
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Finding the minimum distance between two convex polygons
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On fast computation of distance between line segments
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A linear algorithm for determining the separation of convex polyhedra
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Computing the extreme distances between two convex polygons
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Minimum distances for robot task simulation
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Minimum time robot path planning in the presence of obstacles
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Distance functions and their application to robot path planning in the presence of obstacles
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A study of the clash detection problem in robotics
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A collision detection algorithm based on velocity and distance bounds
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Determining the minimum translational distance between two convex polyhedra
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Distances between boxes: Applications to collision detection and clipping
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A fast procedure for computing the distance between complex objects in three space
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Some efficient algorithms for a class of abstract optimization problems arising in optimal control
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Optimal Algorithms for the Intersection and the Minimum Distance Problems Between Planar Polygons
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Spatial Planning: A Configuration Space Approach
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An Efficient Computational Procedure for a Generalized Quadratic Programming Problem
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Interference detection among solids and surfaces
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Real-Time Obstacle Avoidance for Manipulators and Mobile Robots
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Convex Analysis

What points at this work

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

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Interaction of regular non-spherical particles with rigid barrier in gravity-driven dry granular flow
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Optimisation-based proximity queries and penetration depth computation
inferred← citeshttps://doi.org/10.1007/s10409-022-22343-xopenalex-snapshot
Thirty years of developments in contact modelling of non-spherical particles in DEM: a selective review
inferred← citeshttps://doi.org/10.1007/s10472-014-9430-xopenalex-snapshot
Combinatorial properties of support vectors of separating hyperplanes
inferred← citeshttps://doi.org/10.1007/s10514-018-9743-4openalex-snapshot
On the relationship between dynamics and complexity in multi-agent collision avoidance
inferred← citeshttps://doi.org/10.1007/s10514-020-09913-0openalex-snapshot
Formation control of unmanned micro aerial vehicles for straitened environments
inferred← citeshttps://doi.org/10.1007/s10589-011-9448-5openalex-snapshot
The nearest point problem in a polyhedral set and its extensions
inferred← citeshttps://doi.org/10.1007/s10589-019-00124-7openalex-snapshot
Smoothing algorithms for computing the projection onto a Minkowski sum of convex sets
inferred← citeshttps://doi.org/10.1007/s10589-020-00211-0openalex-snapshot
The distance between convex sets with Minkowski sum structure: application to collision detection
inferred← citeshttps://doi.org/10.1007/s10652-016-9500-1openalex-snapshot
Experimental and numerical investigation of density current over macro-roughness
inferred← citeshttps://doi.org/10.1007/s10846-012-9682-9openalex-snapshot
Computation for Maximum Stable Grasping in Dynamic Force Distribution
inferred← citeshttps://doi.org/10.1007/s10851-015-0575-yopenalex-snapshot
Optimal Dual Certificates for Noise Robustness Bounds in Compressive Sensing
inferred← citeshttps://doi.org/10.1007/s11012-018-00934-9openalex-snapshot
A non-smooth-contact-dynamics analysis of Brunelleschi’s cupola: an octagonal vault or a circular dome?
inferred← citeshttps://doi.org/10.1007/s11042-026-21834-1openalex-snapshot
Automated mangosteen size estimation from images using instance segmentation and adaptive mask refinement
inferred← citeshttps://doi.org/10.1007/s11044-006-9026-2openalex-snapshot
A contact force solution for non-colliding contact dynamics simulation
inferred← citeshttps://doi.org/10.1007/s11044-016-9547-2openalex-snapshot
N-body gravitational and contact dynamics for asteroid aggregation
inferred← citeshttps://doi.org/10.1007/s11044-025-10134-5openalex-snapshot
Gradient-parameterized deformable Minkowski sum with applications on contact detection
inferred← citeshttps://doi.org/10.1007/s11071-021-07038-2openalex-snapshot
Hierarchical motion planning at the acceleration level based on task priority matrix for space robot
inferred← citeshttps://doi.org/10.1007/s11071-022-07965-8openalex-snapshot
A method of three-dimensional stability region and ideal roll angle to improve vehicle stability
inferred← citeshttps://doi.org/10.1007/s11081-015-9291-0openalex-snapshot
Combining discrete and continuous optimization to solve kinodynamic motion planning problems
inferred← citeshttps://doi.org/10.1007/s11370-019-00278-7openalex-snapshot
Collision-free path planning of cable-driven parallel robots in cluttered environments
inferred← citeshttps://doi.org/10.1007/s11370-023-00465-7openalex-snapshot
A collision-free path planning method for industrial robot manipulators considering safe human–robot interaction
inferred← citeshttps://doi.org/10.1007/s11370-026-00713-6openalex-snapshot
An obstacle avoidance path planning method for robot grasping based on point cloud environment modelling
inferred← citeshttps://doi.org/10.1007/s11432-019-2741-6openalex-snapshot
Design and analysis of a whole-body controller for a velocity controlled robot mobile manipulator
inferred← citeshttps://doi.org/10.1007/s11465-010-0103-0openalex-snapshot
Robotized machining of big work pieces: localization of supporting heads
inferred← citeshttps://doi.org/10.1007/s11548-010-0519-3openalex-snapshot
Fast and flexible distance measures for treatment planning
inferred← citeshttps://doi.org/10.1007/s11633-010-0190-8openalex-snapshot
Evolutionary trajectory planning for an industrial robot
inferred← citeshttps://doi.org/10.1007/s11661-023-07140-7openalex-snapshot
Quantitatively Comparing 3D Discrete Element Method Simulations With Drained Compression Experiments of the Semi-solid Deformation of Al-Cu Alloys
inferred← citeshttps://doi.org/10.1007/s11831-022-09851-3openalex-snapshot
GPGPU-Based Parallel Computation Using Discrete Elements in Geotechnics: A State-of-Art Review
inferred← citeshttps://doi.org/10.1007/s12043-015-0957-0openalex-snapshot
Physics-based vicinity emulation for enhanced perception in teleoperation
inferred← citeshttps://doi.org/10.1007/s12555-021-0264-0openalex-snapshot
Estimation of the External Forces on a Robot Hand with Fingertip Tactile Sensors
inferred← citeshttps://doi.org/10.1007/s13272-017-0271-2openalex-snapshot
Tactile cueing with active cyclic stick for helicopter obstacle avoidance: development and pilot acceptance
inferred← citeshttps://doi.org/10.1007/s40295-026-00600-3openalex-snapshot
A Guaranteed Geometric Approach to Covariance-Ellipsoid Separation for Satellite Collision Avoidance
inferred← citeshttps://doi.org/10.1007/s40571-014-0020-9openalex-snapshot
Optimal parameters for a hierarchical grid data structure for contact detection in arbitrarily polydisperse particle systems
inferred← citeshttps://doi.org/10.1007/s40571-015-0047-6openalex-snapshot
Ultrascale simulations of non-smooth granular dynamics
inferred← citeshttps://doi.org/10.1007/s40571-018-0198-3openalex-snapshot
Grains3D, a flexible DEM approach for particles of arbitrary convex shape—Part III: extension to non-convex particles modelled as glued convex particles
inferred← citeshttps://doi.org/10.1007/s40571-021-00446-6openalex-snapshot
An extension of the Fourier series-based particle model to the GJK-based contact detection and resolution framework for DEM
inferred← citeshttps://doi.org/10.1007/s40571-022-00460-2openalex-snapshot
A mathematical framework for the analysis and comparison of contact detection methods for ellipses and ellipsoids
inferred← citeshttps://doi.org/10.1007/s40571-023-00637-3openalex-snapshot
Simulation of realistic granular soils in triaxial test using physics engine
inferred← citeshttps://doi.org/10.1007/s41315-023-00274-2openalex-snapshot
A review of recent trend in motion planning of industrial robots
inferred← citeshttps://doi.org/10.1007/s41693-018-0012-zopenalex-snapshot
Automated sequence and motion planning for robotic spatial extrusion of 3D trusses
inferred← citeshttps://doi.org/10.1016/0005-1098(92)90124-xopenalex-snapshot
Distance estimation and collision prediction for on-line robotic motion planning
inferred← citeshttps://doi.org/10.1016/0005-1098(95)98481-kopenalex-snapshot
A neural network measuring the intersection of m-dimensional convex polyhedra
inferred← citeshttps://doi.org/10.1016/0010-4485(94)90050-7openalex-snapshot
Interactive body awareness
inferred← citeshttps://doi.org/10.1016/0010-4485(94)90067-1openalex-snapshot
Modelling contacts in a physically based simulation
inferred← citeshttps://doi.org/10.1016/0020-0190(94)00092-1openalex-snapshot
Distance measures on intersecting objects and their applications
inferred← citeshttps://doi.org/10.1016/0377-2217(93)90114-3openalex-snapshot
On using LP to collision detection between a manipulator arm and surrounding obstacles
inferred← citeshttps://doi.org/10.1016/0736-5845(94)90005-1openalex-snapshot
A planning approach for robot-assisted multiple-bent profile handling
inferred← citeshttps://doi.org/10.1016/0921-8890(94)00029-2openalex-snapshot
Reliability and integrated capabilities of locomotion and manipulation for autonomous robot assembly
inferred← citeshttps://doi.org/10.1016/0921-8890(94)90011-6openalex-snapshot
AMP-CAD: Automatic assembly motion planning using CAD models of parts
inferred← citeshttps://doi.org/10.1016/b978-0-08-041276-4.50052-2openalex-snapshot
COMPUTATIONAL COMPLEXITY OF PATH PLANNING ALGORITHMS BASED ON SAFE TRIANGLES AND QUADTREE AS WORK SPACE REPRESENTATIONS: A COMPARISON††This work was supported by DFG (Deutsche Forschungsgemeinschaft)
inferred← citeshttps://doi.org/10.1016/b978-0-12-229063-3.50026-1openalex-snapshot
References
inferred← citeshttps://doi.org/10.1016/b978-0-12-336156-1.50017-3openalex-snapshot
Fast Collision Detection of Moving Convex Polyhedra
inferred← citeshttps://doi.org/10.1016/b978-0-12-374903-1.00015-3openalex-snapshot
Bibliography
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Modeling of short-range interactions between both spherical and non-spherical rigid particles
inferred← citeshttps://doi.org/10.1016/b978-0-443-18908-1.00021-2openalex-snapshot
Configuration space and collision checking
inferred← citeshttps://doi.org/10.1016/b978-1-55860-732-3.50019-xopenalex-snapshot
References
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