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946
Representations of Rigid Solids: Theory, Methods, and Systems
 ACM Computing Surveys
, 1980
"... Computerbased ystems for modehng the geometry ofrigid solid objects are becoming increasingly important inmechanical nd civil engineering, architecture, computer graphics, computer vision, and other fields that deal with spatial phenomena. At the heart of such systems are symbol structures (represe ..."
Abstract

Cited by 256 (2 self)
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are the difficulties in assessing current designs, pecifying the characteristics that future systems should exhibit, and designing systems t9 meet such specifications. This paper esolves many of these difficulties by providing a coherent view, based on sound theoretical principles, of what is presently known about he
Tracking and Modeling NonRigid Objects with Rank Constraints
, 2001
"... This paper presents a novel solution for flowbased tracking and 3D reconstruction of deforming objects in monocular image sequences. A nonrigid 3D object undergoing rotation and deformation can be effectively approximated using a linear combination of 3D basis shapes. This puts a bound on the rank ..."
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Cited by 159 (7 self)
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This paper presents a novel solution for flowbased tracking and 3D reconstruction of deforming objects in monocular image sequences. A nonrigid 3D object undergoing rotation and deformation can be effectively approximated using a linear combination of 3D basis shapes. This puts a bound
AsRigidAsPossible Surface Modeling
 TO APPEAR AT THE EUROGRAPHICS SYMPOSIUM ON GEOMETRY PROCESSING
, 2007
"... Modeling tasks, such as surface deformation and editing, can be analyzed by observing the local behavior of the surface. We argue that defining a modeling operation by asking for rigidity of the local transformations is useful in various settings. Such formulation leads to a nonlinear, yet conceptu ..."
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Cited by 119 (7 self)
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Modeling tasks, such as surface deformation and editing, can be analyzed by observing the local behavior of the surface. We argue that defining a modeling operation by asking for rigidity of the local transformations is useful in various settings. Such formulation leads to a nonlinear, yet
Coping with Friction for Nonpenetrating Rigid Body Simulation
, 1991
"... Algorithms and computational complexity measures for simulating the motion of contacting bodies with friction are presented. The bodies are restricted to be perfectly rigid bodies that contact at finitely many points. Contact forces between bodies must satisfy the Coulomb model of friction. A tradit ..."
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Cited by 92 (0 self)
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Algorithms and computational complexity measures for simulating the motion of contacting bodies with friction are presented. The bodies are restricted to be perfectly rigid bodies that contact at finitely many points. Contact forces between bodies must satisfy the Coulomb model of friction. A
Rigidity Of Infinite Disk Patterns
 Ann. of Math
, 1999
"... . Let P be a locally finite disk pattern on the complex plane C whose combinatorics is described by the oneskeleton G of a triangulation of the open topological disk and whose dihedral angles are equal to a function # : E # [0, #/2] on the set of edges. Let P # be a combinatorially equivalent dis ..."
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Cited by 31 (0 self)
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disk pattern on the plane with the same dihedral angle function. We show that P and P # di#er only by a euclidean similarity. In particular, when the dihedral angle function # is identically zero, this yields the rigidity theorems of B. Rodin and D. Sullivan, and of O. Schramm, whose arguments rely
Rigidity of polyhedral surfaces
, 2006
"... We study rigidity of polyhedral surfaces and the moduli space of polyhedral surfaces using variational principles. Curvature like quantities for polyhedral surfaces are introduced. Many of them are shown to determine the polyhedral metric up to isometry. The action functionals in the variational a ..."
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Cited by 22 (10 self)
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We study rigidity of polyhedral surfaces and the moduli space of polyhedral surfaces using variational principles. Curvature like quantities for polyhedral surfaces are introduced. Many of them are shown to determine the polyhedral metric up to isometry. The action functionals in the variational
UNCERTAINTY PRINCIPLE, NONSQUEEZING THEOREM AND THE SYMPLECTIC RIGIDITY
"... One of the basic principle in the quantum mechanics is the Heisenberg uncertainty principle. This can be roughly stated as “one can not measure the momentum and the position of a particle precisely at the same time”. More precisely, the principle can be written as △q△p ≃ ℏ, ℏ = the Planck constant, ..."
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One of the basic principle in the quantum mechanics is the Heisenberg uncertainty principle. This can be roughly stated as “one can not measure the momentum and the position of a particle precisely at the same time”. More precisely, the principle can be written as △q△p ≃ ℏ, ℏ = the Planck constant
Gauss' least constraints principle and rigid body simulations
 In proceedings of IEEE International Conference on Robotics and Automation
, 2002
"... Most of wellknown approaches for rigid body simulations are formulated in the contactspace. Thanks to Gauss ’ principle of least constraints, the frictionless dynamics problems are formulated in a motionspace. While the two formulations are mathematically equivalent, they are not computationally ..."
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Cited by 20 (7 self)
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Most of wellknown approaches for rigid body simulations are formulated in the contactspace. Thanks to Gauss ’ principle of least constraints, the frictionless dynamics problems are formulated in a motionspace. While the two formulations are mathematically equivalent, they are not computationally
Rigid supersymmetry with boundaries
, 801
"... Abstract: We construct rigidly supersymmetric bulkplusboundary actions, both in xspace and in superspace. For each standard supersymmetric bulk action a minimal supersymmetric bulkplusboundary action follows from an extended F or Dterm formula. Additional separately supersymmetric boundary ac ..."
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Cited by 9 (1 self)
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Abstract: We construct rigidly supersymmetric bulkplusboundary actions, both in xspace and in superspace. For each standard supersymmetric bulk action a minimal supersymmetric bulkplusboundary action follows from an extended F or Dterm formula. Additional separately supersymmetric boundary
Results 1  10
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946