Title
Bending and kissing: Computing self-contact configurations of planar loops with revolute joints
Abstract
In recent work, we introduced the notion of a construction tree of simplices for a linkage L under distance constraints, and showed that the deformation space DSpace(L) of such an L (i.e., its configuration space CSpace(L) modulo rigid motions of ambient space respecting all system specifications) carries geometrically-defined simplex-based parameters that endow it with a ldquopractically piecewise-convexrdquo structure. Here we present parametrizations of contact deformations of planar loops with revolute joints. We show that the bending and kissing loci, which include the self-contact subspace DSContact (generally as a strict subset) can be efficiently described by triangle-based parameters. These results further demonstrate the effectiveness of the simplex-based approach.
Year
DOI
Venue
2009
10.1109/ROBOT.2009.5152180
ICRA
Keywords
Field
DocType
robot dynamics,kissing,construction tree,planar loops,configuration space cspace,contact deformation,dspace,set theory,linkage l,deformation space,self-contact configurations,distance constraints,ambient space,modulo rigid motions,simplex-based parameter,contact deformations,kissing locus,simplex-based approach,revolute joints,deformation,path planning,bending,planar loop,revolute joint,self-contact configuration,geometrically-defined simplex-based parameters,piecewise-convex structure,distance constraint,solid modeling,data mining,motion planning,face,construction industry,shape,couplings,computer science,educational robots,mathematics,configuration space
Ambient space,Motion planning,Topology,Subspace topology,Control theory,Modulo,Bending,Simplex,Revolute joint,Mathematics,Configuration space
Conference
Volume
Issue
ISSN
2009
1
1050-4729 E-ISBN : 978-1-4244-2789-5
ISBN
Citations 
PageRank 
978-1-4244-2789-5
5
0.45
References 
Authors
7
7
Name
Order
Citations
PageRank
Li Han1537.55
Lee Rudolph2494.38
Sam Dorsey-Gordon350.45
Dylan Glotzer470.85
Dan Menard550.45
Jon Moran650.45
James R. Wilson7840143.42