Hype & Spin in Signal &
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| Fads |
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The Single Pixel Camera Does random sampling (compressive sensing) achieve better results than regular under-sampling? |
Structural Similarity
(SSIM) Is the index for the similarity of two images an improvement on the noise visibility function? The citation juggernaut spins out of control and few researchers dare suggest that a much simpler formulation just might be as good, if not better... |
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| Certainly
no convincing evidence in this experiment. Compare with simple under-sampling of images. |
SSIM
Simplified |
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| The
citation juggernaut plows on regardless Google Scholar tracking... 1307 and counting... |
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| Fallacies: Incites
& Insights |
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| Shannon entropy defined by the intensity histogram measures image complexity |
Infinite width of SINC
function rules out its use in accurate interpolation of discretely sampled band-limited images |
Robust digital
watermarks immune to geometric transformations can only be embedded in the transform domains (i.e. Fourier, DCT, Mellin, and wavelet) |
The human ear is insensitive
to the phase of audio signals |
| Pixel value histogram gives no indication
whatsoever of the spatial complexity or compressibility of a 2-D (or even 1-D) signal |
Fourier based sinc interpolation is easy to implement and can actually achieve lossless resampling Dirichlet sinc is periodic |
Direct spatial domain embedding is generally easier, faster and not impossible to comprehend |
The evidence for phase sensitivity is piling up. Digital (DSP) filters now allow perfect phase and amplitude correction in HiFis |
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Insights
E.T. Jaynes, 1965 It is clearly meaningless to ask
“What is the entropy of the [system]
crystal?"
unless we first specify the set of
parameters
which define its thermodynamic state. E.P. Wigner
“Entropy is an anthropomorphic
concept"
K.G. Larkin, 2016
Make Shannon Information symmetric in
1D
and everything else follows naturally into 2D and beyond. Check preprint on arXiv |
April 2026 presented outline
at Bracewell@70 conference It transpires that Cardinal B-splines are actually windowed sincs...proof is via Aldroubi Fourier formula, 1992  |
Insights An example of affine invariant functions embedded directly in spatial domain (LHS):  Correlation detection survives all affine distortions (RHS is polar spatial domain ). Note flashing bright lines are (negligible) image edge effects. |
Insights |
| Pure Hype & Spin | ||
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