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697
Collision detection and response for computer animation
 In Proc. of Intl. Conf. on Computer Graphics and Interactive Techniques
, 1988
"... When several objects are moved about by computer animarion, there is the chance that they will interpenetrate. This is often an undesired state, particularly if the animation is seeking to model a realistic world. Two issues are involved: detecting that a collision has occurred, and responding to it ..."
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Cited by 280 (2 self)
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to it. The former is fundamentally a kinematic problem, involving the positional relationship of objects in the world. The latter is a dynamic problem, in that it involves predicting behavior according to physical laws. This paper discusses collision detection and response in general, presents two
Genus zero surface conformal mapping and its application to brain surface mapping
 IEEE Transactions on Medical Imaging
, 2004
"... Abstract—We developed a general method for global conformal parameterizations based on the structure of the cohomology group of holomorphic oneforms for surfaces with or without boundaries (Gu and Yau, 2002), (Gu and Yau, 2003). For genus zero surfaces, our algorithm can find a unique mapping betwe ..."
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Cited by 188 (78 self)
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tests on magnetic resonance imaging (MRI) data show that the mappings preserve angular relationships, are stable in MRIs acquired at different times, and are robust to differences in data triangulation, and resolution. Compared with other brain surface conformal mapping algorithms, our algorithm is more
Generalized diffusion tensor imaging and analytical relationships between diffusion tensor imaging and high angular resolution diffusion imaging
 Magn. Reson. Med
, 2003
"... A new method for mapping diffusivity profiles in tissue is presented. The BlochTorrey equation is modified to include a diffusion term with an arbitrary rank Cartesian tensor. This equation is solved to give the expression for the generalized StejskalTanner formula quantifying diffusive attenuatio ..."
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Cited by 103 (5 self)
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) and 3D distribution of diffusivities, as measured by high angular resolution diffusion imaging (HARDI) methods, are derived. Also, the spherical tensor components from HARDI are related to the rank2 DT. The relationships between higher and lowerrank Cartesian DTs are also presented. The inadequacy
Predicting stellar angular size
 Publications of the Astronomical Society of the Pacific
, 1999
"... Reliable prediction of stellar diameters, particularly angular diameters, is a useful and necessary tool for the increasing number of milliarcsecond resolution studies being carried out in the astronomical community. A new and accurate technique of predicting angular sizes is presented for main sequ ..."
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Cited by 4 (0 self)
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with the V or B photometry. The spread in the relationship is 2.2 % for main sequence stars; for giant and supergiant stars, 1112%; and for evolved sources, results are at the 2026 % level. Compared to other simple predictions of angular size, such as linear radiusdistance methods or blackbody estimates
On the relationship between joint angular velocity and motor cortical discharge during reaching
 J. Neurophysiol
, 2001
"... On the relationship between joint angular velocity and motor cortical ..."
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Cited by 24 (1 self)
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On the relationship between joint angular velocity and motor cortical
THE INFLUENCE OF ANGULAR AND LINEAR
, 1967
"... The hydrodynamic properties of the human semicircular canal system were studied to determine its dynamic characteristics and their relationship to observed subjective and objective vestibular responses to various motion inputs. Four topics of particular importance in current vestibular research were ..."
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The hydrodynamic properties of the human semicircular canal system were studied to determine its dynamic characteristics and their relationship to observed subjective and objective vestibular responses to various motion inputs. Four topics of particular importance in current vestibular research
Angular Momentum and Positive Mass Theorem
, 1999
"... Total angular momentum for asymptotically flat manifolds is defined. Positive mass theorem for initial (spin) data set.M; gij; pij / with nonsymmetric pij is proved. As an application, we establish positive mass theorems involving total linear momentum and total angular momentum. This gives an answ ..."
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Cited by 13 (7 self)
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an answer to a problem of S. T.Yau in his Problem Section [Ya2] and a partial answer to his recent conjecture on the relationship among total energy, total linear momentum, total angular momentum and entropy of black hole.
Sparse deep belief net model for visual area V2
 Advances in Neural Information Processing Systems 20
, 2008
"... Abstract 1 Motivated in part by the hierarchical organization of the neocortex, a number of recently proposed algorithms have tried to learn hierarchical, or “deep, ” structure from unlabeled data. While several authors have formally or informally compared their algorithms to computations performed ..."
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Cited by 164 (19 self)
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interestingly, in a quantitative comparison, the encoding of these more complex “corner ” features matches well with the results from Ito & Komatsu’s study of neural responses to angular stimuli in area V2 of the macaque. This suggests that our sparse variant of deep belief networks holds promise
Classical Dynamics,
, 1977
"... BRIEF NOTES pendent generalized coordinates qt, q2, and q3. The relation between the Cartesian velocities v '~, v'y, v' z Since gyroscopic coupling may exist between the coordinate pairs (ql, q2), (q2, q3), and (q3, ql), we evaluate the modulus in Eq. (12) for each of the cases, na ..."
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Cited by 156 (0 self)
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relationship between the generalized velocities and localinertial velocities, we arrived at necessary and sufficient conditions that identify the modulus of coupling and the gyroscopic force pair. The conditions apply to systems with independent generalized coordinates as well as systems with holonomic
Orbital angular momentum in the nucleon spin
, 1998
"... Currently it is not known how to experimentally measure the contribution of the orbital angular momentum of the quarks to the total spin of the nucleon. By examining the quark orbital angular momentum we find that it does not satisfy the standard angular momentum commutation relationships. Thus asid ..."
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Currently it is not known how to experimentally measure the contribution of the orbital angular momentum of the quarks to the total spin of the nucleon. By examining the quark orbital angular momentum we find that it does not satisfy the standard angular momentum commutation relationships. Thus
Results 1  10
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697