3,556 research outputs found
Integration over curves and surfaces defined by the closest point mapping
We propose a new formulation for integrating over smooth curves and surfaces
that are described by their closest point mappings. Our method is designed for
curves and surfaces that are not defined by any explicit parameterization and
is intended to be used in combination with level set techniques. However,
contrary to the common practice with level set methods, the volume integrals
derived from our formulation coincide exactly with the surface or line
integrals that one wish to compute. We study various aspects of this
formulation and provide a geometric interpretation of this formulation in terms
of the singular values of the Jacobian matrix of the closest point mapping.
Additionally, we extend the formulation - initially derived to integrate over
manifolds of codimension one - to include integration along curves in three
dimensions. Some numerical examples using very simple discretizations are
presented to demonstrate the efficacy of the formulation.Comment: Revised the pape
Investigation of radar backscattering from second-year sea ice
The scattering properties of second-year ice were studied in an experiment at Mould Bay in April 1983. Radar backscattering measurements were made at frequencies of 5.2, 9.6, 13.6, and 16.6 GHz for vertical polarization, horizontal polarization and cross polarizations, with incidence angles ranging from 15 to 70 deg. The results indicate that the second-year ice scattering characteristics were different from first-year ice and also different from multiyear ice. The fading properties of radar signals were studied and compared with experimental data. The influence of snow cover on sea ice can be evaluated by accounting for the increase in the number of independent samples from snow volume with respect to that for bare ice surface. A technique for calculating the snow depth was established by this principle and a reasonable agreement has been observed. It appears that this is a usable way to measure depth in snow or other snow-like media using radar
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