scholarly journals On the Asymptotic Equivalence Between the Radon and the Hough Transforms of Digital Images

2021 ◽  
Vol 14 (2) ◽  
pp. 506-529
Author(s):  
Riccardo Aramini ◽  
Fabrice Delbary ◽  
Mauro C. Beltrametti ◽  
Claudio Estatico ◽  
Michele Piana ◽  
...  
Keyword(s):  
Digital Images ◽  
Asymptotic Equivalence ◽  
Hough Transforms

scholarly journals On the asymptotic equivalence between the radon and the hough transforms of digital images

2019 ◽  
Author(s):  
Riccardo Aramini ◽  
Fabrice Delbary ◽  
Mauro C Beltrametti ◽  
Claudio Estatico ◽  
Michele Piana ◽  
...  
Keyword(s):  
Parameter Space ◽  
Asymptotic Equivalence ◽  
Reconstruction Problem ◽  
Dirac Delta ◽  
Family Of Curves ◽  
Hough Transforms ◽  
Discretization Step ◽  
Analytical Proof ◽  
Delta Functions ◽  
Mathematical Definitions

ABSTRACTAlthough characterized by different mathematical definitions, both the Radon and the Hough transforms ultimately take an image as input and provide, as output, functions defined on a preassigned parameter space, i.e., the so-called either Radon or Hough sinograms. The parameters in these two spaces describe a family of curves, which represent either the integration domains considered in the Radon transform, or the kind of curves to be detected by the Hough transform.It is heuristically known that the Hough sinogram converges to the corresponding Radon sinogram when the discretization step in the parameter space tends to zero. By considering generalized functions in multi-dimensional setting, in this paper we give an analytical proof of this heuristic rationale when the input grayscale digital image is described as a set of grayscale points, that is, as a sum of weighted Dirac delta functions. On these grounds, we also show that this asymptotic equivalence may have a valuable impact on the image reconstruction problem of inverting the Radon sinogram recorded by a medical imaging scanner.

Reduction in size of digital images: does it lead to less detectability or loss of diagnostic information?

1998 ◽  
Vol 27 (2) ◽  
pp. 93-96 ◽  
Author(s):  
C H Versteeg ◽  
G C H Sanderink ◽  
S R Lobach ◽  
P F van der Stelt
Keyword(s):  
Digital Images ◽  
Diagnostic Information

Development of a system for craniofacial analysis from monitor-displayed digital images

1999 ◽  
Vol 28 (2) ◽  
pp. 123-126 ◽  
Author(s):  
E Gotfredsen ◽  
J Kragskov ◽  
A Wenzel
Keyword(s):  
Digital Images

Authentication of Digital Image using Exif Metadata and Decoding Properties

2018 ◽  
pp. 335-341 ◽  
Author(s):  
D. P. Gangwar ◽  
Anju Pathania
Keyword(s):  
Digital Image ◽  
Digital Images ◽  
Software Tools ◽  
Robust Analysis

This work presents a robust analysis of digital images to detect the modifications/ morphing/ editing signs by using the image’s exif metadata, thumbnail, camera traces, image markers, Huffman codec and Markers, Compression signatures etc. properties. The details of the whole methodology and findings are described in the present work. The main advantage of the methodology is that the whole analysis has been done by using software/tools which are easily available in open sources.

I Think We’re Alone Now

2020 ◽  
Vol 6 (4) ◽  
pp. 183-210
Author(s):  
Erin Nunoda
Keyword(s):  
Public Sphere ◽  
Digital Images ◽  
Empty Space ◽  
The Public ◽  
Youtube Videos ◽  
The Public Sphere

This article examines YouTube videos (primarily distributed by a user named Cecil Robert) that document so-called dead malls: unpopulated, unproductive, but not necessarily demolished consumerist sites that have proliferated in the wake of the 2008 recession. These works link digital images of mall interiors with pop-song remixes so as to re-create the experience of hearing a track while standing within the empty space; manipulating the songs’ audio frequencies heightens echo effects and fosters an impression of ghostly dislocation. This article argues that these videos locate a potentiality in abandoned mall spaces for the exploration of queer (non)relations. It suggests that the videos’ emphasis on lonely, unconsummated intimacies questions circuitous visions of the public sphere, participatory dynamics online, and the presumably conservative biopolitics (both at its height and in its memorialization) of mall architecture.

A METHOD FOR AUTOMATIC BLIND ESTIMATION OF ADDITIVE NOISE VARIANCE IN DIGITAL IMAGES

2010 ◽  
Vol 69 (19) ◽  
pp. 1681-1702
Author(s):  
V. V. Lukin ◽  
S. K. Abramov ◽  
A. V. Popov ◽  
P. Ye. Eltsov ◽  
Benoit Vozel ◽  
...  
Keyword(s):  
Additive Noise ◽  
Digital Images ◽  
Blind Estimation ◽  
Noise Variance

CONTRAST ENHANCEMENT IN GRAYSCALE DIGITAL IMAGES APPLYING ATOMIC FUNCTIONS IN FUZZY LOGIC

2013 ◽  
Vol 72 (19) ◽  
pp. 1787-1801
Author(s):  
C. M. Vargas-Martinez ◽  
Victor Filippovich Kravchenko ◽  
Vladimir Il'ich Ponomarev ◽  
Juan Carlos Sanchez-Garcia
Keyword(s):  
Fuzzy Logic ◽  
Contrast Enhancement ◽  
Digital Images
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