منابع مشابه
Diffeomorphisms and Nonlinear Heat Flows
We show that the gradient flow u on L2 generated by the energy functional I[u] := ∫ U Φ(detDu) dx for vector-valued mappings is in some sense “integrable”, meaning that (i) the inverse Jacobian β := (detDu)−1 satisfies a scalar nonlinear diffusion equation, and (ii) we can recover u by solving an ODE determined by β.
متن کاملSymmetric Attractors for Diffeomorphisms and Flows
Let F c O(/i) be a finite group acting on R. In this work we describe the possible symmetry groups that can occur for attractors of smooth (invertible) f-equivariant dynamical systems. In case U" contains no reflection planes and n ^ 3, our results imply that there are no restrictions on symmetry groups. In case n 3=4 (diffeomorphisms) and n 2=5 (flows), we show that we may construct attractors...
متن کاملFlows of diffeomorphisms for multimodal image registration
We present a theoretical and computational framework for nonrigid multimodal registration. We proceed by maximization of statistical similarity criteria (global and local) in a variational framework, and use the corresponding gradients to drive a flow of diffeomorphisms allowing large deformations. This flow is introduced through a new template propagation method, by composition of small displa...
متن کاملLarge deviations for stochastic flows of diffeomorphisms
A large deviation principle is established for a general class of stochastic flows in the small noise limit. This result is then applied to a Bayesian formulation of an image matching problem, and an approximate maximum likelihood property is shown for the solution of an optimization problem involving the large deviations rate function. AMS 2000 subject classification: Primary 60H15, 60F10; sec...
متن کاملOrientation preserving diffeomorphisms and flows of control-affine systems
In this paper we show that for every orientation preserving diffeomorphism of R there exist time-varying feedback controls such that the diffeomorphism is the flow, at a fixed time, of a bracket generating driftless control-affine system. Then we study possible extensions to systems with drift or with more regular controls using inverse function theorems.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Topology
سال: 1975
ISSN: 0040-9383
DOI: 10.1016/0040-9383(75)90016-6