Topological Spines: A Structure-preserving Visual Representation of Scalar Fields
نویسندگان
چکیده
منابع مشابه
A Scalar Representation of Electromagnetic Fields : IIt
It is shown that the scalar representation of electromagnetic fields introduced in an earlier paper leads to a new model for energy transport. The energy may be considered to be carried by two mutually incoherent scalar waves, each of which arises from contributions of circularly polarized components of the same helicity. I n a monochromatic field the energy density and the energy flow of each ...
متن کاملA Scalar Representation of Electromagnetic Fields
I t is shown that in a region which is free of currents and charges, any electromagnetic field may be rigorously derived from a single, generally complex, scalar wave function V (X , t). I n terms of this function the momentum density g(x, t) and the energy density w (x , t) of the field may be defined in such a way that they are represented by expressions analogous to the formulae for the prob...
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Given a real-valued function f defined over a manifold M embedded in R, we are interested in recovering structural information about f from the sole information of its values on a finite sample P . Existing methods provide approximation to the persistence diagram of f when geometric noise and functional noise are bounded. However, they fail in the presence of aberrant values, also called outlie...
متن کاملScalar Representation of Electromagnetic Fields : IIIt
The transformation properties of the single complex quantity, introduced by Green and Wolf to describe the electromagnetic field, are investigated and the physical energy-momentum tensor of this field is derived in terms of the scalar theory. In particular, it is found that the energy density, as defined in the previous paper, is identical with that given by the physical energy-momentum tensor ...
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ژورنال
عنوان ژورنال: IEEE Transactions on Visualization and Computer Graphics
سال: 2011
ISSN: 1077-2626
DOI: 10.1109/tvcg.2011.244