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  2. Hyperspectral imaging - Wikipedia

    en.wikipedia.org/wiki/Hyperspectral_imaging

    Since a spectrum is an important diagnostic, having a spectrum for each pixel allows more science cases to be addressed. In astronomy, this technique is commonly referred to as integral field spectroscopy , and examples of this technique include FLAMES [ 50 ] and SINFONI [ 51 ] on the Very Large Telescope , but also the Advanced CCD Imaging ...

  3. Ptychography - Wikipedia

    en.wikipedia.org/wiki/Ptychography

    The optical configuration for vectorial ptychography is similar to that of classical (scalar) ptychography, although a control of light polarization (before and after the specimen) needs to be implemented in the setup. Jones maps of the specimens can be retrieved, allowing the quantification of a wide range of optical properties (phase ...

  4. Eilenberg–Maclane spectrum - Wikipedia

    en.wikipedia.org/wiki/Eilenberg-MacLane_spectra

    For a spectrum taking the wedge / constructs a spectrum which is homotopy equivalent to a generalized Eilenberg–Maclane space with one wedge summand for each / generator or (; /). In particular, it gives the structure of a module over the Steenrod algebra A p {\displaystyle {\mathcal {A}}_{p}} for H ∗ ( X ) {\displaystyle H^{*}(X)} .

  5. Spectral space - Wikipedia

    en.wikipedia.org/wiki/Spectral_space

    A spectral map f: X → Y between spectral spaces X and Y is a continuous map such that the preimage of every open and compact subset of Y under f is again compact. The category of spectral spaces, which has spectral maps as morphisms, is dually equivalent to the category of bounded distributive lattices (together with homomorphisms of such ...

  6. Open mapping theorem (functional analysis) - Wikipedia

    en.wikipedia.org/wiki/Open_mapping_theorem...

    A linear map : between two topological vector spaces (TVSs) is called a nearly open map (or sometimes, an almost open map) if for every neighborhood of the origin in the domain, the closure of its image ⁡ is a neighborhood of the origin in . [18] Many authors use a different definition of "nearly/almost open map" that requires that the ...

  7. Spectral leakage - Wikipedia

    en.wikipedia.org/wiki/Spectral_leakage

    The rectangular window produces the most scalloping but also narrower peaks and lower noise-floor. A third sinusoid with amplitude −16 dB would be noticeable in the upper spectrum, but not in the lower spectrum. Figure 2: Windowing a sinusoid causes spectral leakage, even if the sinusoid has an integer number of cycles within a rectangular ...

  8. Decomposition of spectrum (functional analysis) - Wikipedia

    en.wikipedia.org/wiki/Decomposition_of_spectrum...

    The spectrum of T restricted to H ac is called the absolutely continuous spectrum of T, σ ac (T). The spectrum of T restricted to H sc is called its singular spectrum, σ sc (T). The set of eigenvalues of T is called the pure point spectrum of T, σ pp (T). The closure of the eigenvalues is the spectrum of T restricted to H pp.

  9. Angular spectrum method - Wikipedia

    en.wikipedia.org/wiki/Angular_spectrum_method

    The angular spectrum method is a technique for modeling the propagation of a wave field.This technique involves expanding a complex wave field into a summation of infinite number of plane waves of the same frequency and different directions.