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pro vyhledávání: '"Jacobs, Henry"'
The success of autonomous systems will depend upon their ability to safely navigate human-centric environments. This motivates the need for a real-time, probabilistic forecasting algorithm for pedestrians, cyclists, and other agents since these predi
Externí odkaz:
http://arxiv.org/abs/1706.06563
Autor:
Jacobs, Henry Ochi
Geometric mechanics is often commended for its breadth (e.g., fluids, circuits, controls) and depth (e.g., identification of stability criteria, controllability criteria, conservation laws). However, on the interface between disciplines it is commonp
Autor:
Holm, Darryl D., Jacobs, Henry O.
Vortex blob methods are typically characterized by a regularization length scale, below which the dynamics are trivial for isolated blobs. In this article we observe that the dynamics need not be trivial if one is willing to consider distributional d
Externí odkaz:
http://arxiv.org/abs/1505.05950
Autor:
Jacobs, Henry O., Vasudevan, Ram
The transport and continuum equations exhibit a number of conservation laws. For example, scalar multiplication is conserved by the transport equation, while positivity of probabilities is conserved by the continuum equation. Certain discretization t
Externí odkaz:
http://arxiv.org/abs/1412.8369
Autor:
Sommer, Stefan, Jacobs, Henry O.
We survey the role of symmetry in diffeomorphic registration of landmarks, curves, surfaces, images and higher-order data. The infinite dimensional problem of finding correspondences between objects can for a range of concrete data types be reduced r
Externí odkaz:
http://arxiv.org/abs/1412.7513
Autor:
Jacobs, Henry O., Sommer, Stefan
We discretize a cost functional for image registration problems by deriving Taylor expansions for the matching term. Minima of the discretized cost functionals can be computed with no spatial discretization error, and the optimal solutions are equiva
Externí odkaz:
http://arxiv.org/abs/1412.7504
Autor:
Jacobs, Henry O.
Given two real functions on the real line f and g, the Faa di Bruno provides the higher order derivative of the composition of f and g, as a summation over the lower order derivatives of f and g individually. The corresponding multi-dimensional gener
Externí odkaz:
http://arxiv.org/abs/1410.3493
Autor:
Jacobs, Henry O.
Publikováno v:
Fields Institute Communications Volume 73, 2015, pp 137-166
Steady swimming appears both periodic and stable. These characteristics are the very definition of limit cycles, and so we ask "Can we view swimming as a limit cycle?" In this paper we will not be able to answer this question in full. However, we sha
Externí odkaz:
http://arxiv.org/abs/1307.4599
Autor:
Jacobs, Henry
In some implementations of the Large Deformation Diffeomorphic Metric Mapping formulation for image registration we consider the motion of particles which locally translate image data. We then lift the motion of the particles to obtain a motion on th
Externí odkaz:
http://arxiv.org/abs/1306.3309
Autor:
Colombo, Leonardo J., Jacobs, Henry O.
Publikováno v:
Fields Institute Communications, 2015
There exists two types of semi-direct products between a Lie group $G$ and a vector space $V$. The left semi-direct product, $G \ltimes V$, can be constructed when $G$ is equipped with a left action on $V$. Similarly, the right semi-direct product, $
Externí odkaz:
http://arxiv.org/abs/1303.3883