17 citations · 63 across the 15 of their papers we have counts for
5 papers · 1 filter
Symmetry in Image Registration and Deformation Modeling
Stefan Sommer, Henry O. Jacobs
We survey the role of symmetry in diffeomorphic registration of landmarks, curves, surfaces, images and higher-order data. The infinite dimensional problem of finding correspondenc…
Qualitatively accurate spectral schemes for advection and transport
Henry O. Jacobs, Ram Vasudevan
The transport and continuum equations exhibit a number of conservation laws. For example, scalar multiplication is conserved by the transport equation, while positivity of probabil…
Higher-order Spatial Accuracy in Diffeomorphic Image Registration
Henry O. Jacobs, Stefan Sommer
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…
How to stare at the higher-order n-dimensional chain rule without losing your marbles
Henry O. Jacobs
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 derivati…
A jetlet hierarchy for ideal fluid dynamics
C. J. Cotter, D. D. Holm, H. O. Jacobs +1
Truncated Taylor expansions of smooth flow maps are used in Hamilton's principle to derive a multiscale Lagrangian particle representation of ideal fluid dynamics. Numerical simula…