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4 edition of Reconstruction from zero-crossings in scale-space found in the catalog.

Reconstruction from zero-crossings in scale-space

by R. A. Hummel

  • 317 Want to read
  • 19 Currently reading

Published by Courant Institute of Mathematical Sciences, New York University in New York .
Written in English


Edition Notes

Statementby Robert Hummel, Robert Moniot.
SeriesRobotics report -- 176
ContributionsMoniot, Robert
The Physical Object
Pagination35 p.
Number of Pages35
ID Numbers
Open LibraryOL17976792M

Generalized Hermite polynomials in two variables are employed for the reconstruction of images from a knowledge of their zero crossing contours. The problem of reconstruction of signals as functions of two variables is not a mere extension of that of a single : YV Venkatesh. from zero crossings in scale space [4]. Nielsen and Lillholm also look at the image information of different features [10]. In this paper, we look at the information contained in scale space critical points by proposing an algorithm for image reconstruction from multiscale points. It is based on the work of Nielsen and Lillholm [10].

Multidimensional signal representation by zero crossings arises in many problems in physics and engineering. Its applications span several areas such as signal modulation, computer vision, and data compression. In this paper, mathematical conditions under which signals are uniquely specified in terms of their real zero crossings are by: 8. The problem of scale pervades both the natural sciences and the vi sual arts. The earliest scientific discussions concentrate on visual per ception (much like today!) and occur in Euclid's (c. B. C.) Optics and Lucretius' (c. B. C.) On the Nature of the Universe. A very clear account in the spirit of modern "scale-space theory" is presented by Boscovitz (in ), with wide.

Most of the zero crossings occur between t = 0 and t =1 seconds, when the other signals in the block are near zero. The few remaining zero crossings occur at approximately t = 5 seconds. To identify the source code that triggers some of the zero crossings, select Directional 5-way valve > Variable Area Orifice 2 > SimulationStatistics (ZeroCrossings) > zc_1 - 8 crossings. In this paper some results are presented on the statistical properties of zero crossings of turbulent velocity fluctuations in boundary layers over a wide range of Reynolds numbers. The earlier finding that the probability density function (pdf) of the intervals between successive zero crossings of the streamwise velocity fluctuation u can be approximated by two exponentials, each with its own Cited by:


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Reconstruction from zero-crossings in scale-space by R. A. Hummel Download PDF EPUB FB2

Reconstruction from zero-crossings in scale-space A, Hummel R. and Robert, Moniot By - Paperback Condition: New.

READ ONLINE [ MB ] Reviews Comprehensive guide for pdf lovers. It generally is not going to charge too much.

You may like just how the article writer write this book. They formulate a novel method for reconstruction from zero crossings in scale space that is based on minimizing equation error, and they present results showing that the reconstruction is possible.

Phase Retrieval and Zero Crossings: Mathematical Methods in Reconstruction from zero-crossings in scale-space book Reconstruction (Mathematics and Its Applications) Paperback – Novem by N. Hurt (Author) See all 3 formats and editions Hide other formats and editions. Price New from Used from Cited by: Our approach to reconstruction from zero-crossings is to reconstruct the function v in scale-space, and make use of the fact that v satisfies the Heat Equation.

The discrctized data can be viewed as a multilevel grid of units communicating locally. Image reconstruction from the local phase vectors can be easily and quickly implemented in the monogenic scale space by a coarse to fine way. Experimental results illustrate that an image can be accurately reconstructed based on the local phase vector.

In contrast to the reconstruction from zero crossings, our approach is proved to be by: 5. in book. Zero-crossings in Scale-Space Representations based on Zero-crossings in Scale-Space Robert A. Hummel Courant Institute of Mathematical Sciences New York University Abstract Using the Heat Equation to formulate the notion of scale-space filtering, we show that the evolution property of level-crossings in scale-space is equivalent to the maximum by: Though this has been a major step towards the solution, many people are dissatisfied with the type of condition that results from his article.

According to Logan, a signal is uniquely reconstructible from its zero crossings if: The signal x (t) and its Hilbert transform xt have no zeros in. Reconstructing sparse signals from their zero crossings Abstract: Classical sampling records the signal level at pre-determined time instances, usually uniformly spaced.

An alternative implicit sampling model is to record the timing of pre-determined level crossings. reconstruction given the zero-crossings at multiple scales of resolution in the so-called scale-space (in which the zero-crossing locations are plotted against the variance parameter, a).

They conclude that ’reconstruction is pos- sible, but can be unstable’. In addition, they suggest the. A zero-crossing in a line graph of a waveform representing voltage over time. A zero-crossing is a point where the sign of a mathematical function changes (e.g.

from positive to negative), represented by a intercept of the axis (zero value) in the graph of the function. Phase Retrieval and Zero Crossings Mathematical Methods in Image Reconstruction. Authors: Hurt, N.E. Using (18) we can make a reconstruction from a n umber of points in scale space.

F or our first experiment the points are selected with random spatial location according to a uniform distribution. Reconstruction from zero crossings in scale space. In IEEE Transactions on Acoustics, Speech, and Signal Processing, vol pages –, CrossRef Google ScholarCited by: The reconstruction uses only information about v,jt along the zero-crossing, and is nearly exact to machine precision.

Page 9 Representations based on Zero-crossings in Scale Space g Reconstructed Figure 3. An attempt at T's-ranjtru^^/^^i^g^e data />, from Figure 2. Image reconstruction from the local phase vectors can be easily and quickly implemented in the monogenic scale space by a coarse to fine way.

Experimental results illustrate that an image can be accurately reconstructed based on the local phase vector. In contrast to the reconstruction from zero crossings, our approach is proved to be stable.

T1 - Reconstructing sparse signals from their zero crossings. AU - Boufounos, Petros T. AU - Baraniuk, Richard G. PY - /9/ Y1 - /9/ N2 - Classical sampling records the signal level at pre-determined time instances, usually uniformly spaced.

An alternative implicit sampling model is to record the timing of pre-determined level Cited by:   Representations Based on Zero-crossings in Scale-Space, Signal Matching Through Scale Space,oulis, & APPENDIX A: KEY IDEAS, ASSUMPTIONS, AND OPEN ISSUES IN COMPUTER VISION APPENDIX B: PARALLEL COMPUTER ARCHITECTURES FOR COMPUTER VISION Glossary Bibliography IndexBook Edition: 1.

Reconstruction from zero crossings in the scale space is investigated by Hum- mel. He has demonstrated that reconstruction based on zero crossings is pos- sible but can be unstable, unless gradient values along the zero crossings are. On reconstruction of bandlimited signals from purely timing information Novel algorithm for a highly accurate and numerically robust reconstruction of a bandlimited signal from zero crossings of the signal and zero crossings of several of its higher order derivatives.

MoniotReconstructions from zero crossings in scale space. IEEE Author: Chamith Wijenayake, Aleksandar Ignjatovic, Gabriele Keller. reconstruction schemes whose characteristics lie between these two extremes.

In this paper, we review results on two- dimensional signal reconstruction from zero crossings and develop a number of new results on sampling schemes for reconstruction from multiple-level threshold crossings. As we will see, the quantization characteristics of these sam. Phase Retrieval and Zero Crossings by N.E.

Hurt and a great selection of related books, art and collectibles available now at - Phase Retrieval and Zero Crossings: Mathematical Methods in Image Reconstruction Mathematics and Its Applications by Hurt, N E - .Phase Retrieval and Zero Crossings: Mathematical Methods in Image Reconstruction (NATO Asi Series.

Series E, Applied Sciences) by E. Hurt, N.: and a great selection of related books, art and collectibles available now at   Abstract: This paper aims to explore the zero-crossing edge detection method based on the scale-space theory. After the one-dimensional signal and two-dimensional image are convolved with the second derivation of the Gaussian kernel respectively, the zero-crossing method is applied to And the zero-crossings of the second derivation.