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Jon Claerbout
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11	The helical coordinate Jon Claerbout For many years, it has been true that our most powerful signal-analysis techniques are in one-dimensional space, while our most important applications are in multi dimensional space. Add to Reading List Source URL: www.reproducibility.org Language: English - Date: 2015-03-25 18:21:52 Filter theory Fourier analysis Image processing Digital signal processing Convolution Causal filter Deconvolution Filter Fourier transform Mathematical analysis Signal processing Mathematics
12	Downward continuation Jon Claerbout MIGRATION BY DOWNWARD CONTINUATION Given waves observed along the earth’s surface, some well-known mathematical techniques that are introduced here enable us to extrapolate (downward Add to Reading List Source URL: www.reproducibility.org Language: English - Date: 2013-11-11 23:13:59 Calculus Wave equation Dispersion Wavelength Plane wave Fourier transform Wave Sine wave Trigonometric functions Mathematical analysis Wave mechanics Physics
13	Regularization is model styling Jon Claerbout Regularization is a method used in mathematics and statistics to deal with insufficient information. The reader must supply additional information in the form of an operator. Add to Reading List Source URL: www.reproducibility.org Language: English - Date: 2014-12-03 15:25:10 Fourier analysis Laplace operator Multivariable calculus Multivariate interpolation Mathematical analysis Calculus Harmonic functions
14	Field recording geometry Jon Claerbout The basic equipment for reflection seismic prospecting is a source for impulsive sound waves, a geophone (something like a microphone), and a multichannel waveform display system. A Add to Reading List Source URL: www.reproducibility.org Language: English - Date: 2013-11-11 23:13:58 Conic sections Curves Geophone Hyperbola Cartesian coordinate system Texture Circle Surface wave inversion Reflection seismology Geometry Algebraic geometry Analytic geometry
15	Ricker-compliant deconvolution Jon Claerbout and Antoine Guitton ABSTRACT Ricker compliant deconvolution spikes at the center lobe of the Ricker wavelet. It enables deconvolution to preserve and enhance seismogram polari Add to Reading List Source URL: sepwww.stanford.edu Language: English - Date: 2015-01-07 14:48:29 Numerical analysis Applied mathematics Wavelet Mexican hat wavelet Causal filter Mathematics Functional analysis Signal processing Image processing Deconvolution
16	Basic operators and adjoints Jon Claerbout A great many of the calculations we do in science and engineering are really matrix multiplication in disguise. The first goal of this chapter is to unmask the disguise by showi Add to Reading List Source URL: www.reproducibility.org Language: English - Date: 2014-09-27 11:08:47 Operator theory Linear algebra Linear operators Adjoint Functional analysis Hermitian adjoint Conjugate transpose Complex conjugate Projection Mathematics Algebra Mathematical analysis
17	Imaging in shot-geophone space Jon Claerbout Till now, we have limited our data processing to midpoint-offset space. We have not analyzed reflection data directly in shot-geophone space. In practice this is often satisfa Add to Reading List Source URL: www.reproducibility.org Language: English - Date: 2013-11-11 23:13:58 Geophysics Petroleum Seismology Electromagnetism Reciprocity Geophone Radiation pattern Wave Seismogram Physics Mechanics Optics
18	Adjoint operators Jon Claerbout A great many of the calculations we do in science and engineering are really matrix multiplication in disguise. The first goal of this chapter is to unmask the disguise by showing many exa Add to Reading List Source URL: www.reproducibility.org Language: English - Date: 2013-11-11 23:14:09 Operator theory Linear algebra Functional analysis Adjoint Conjugate transpose Hermitian adjoint Matrix Convolution Unbounded operator Algebra Mathematics Mathematical analysis
19	Waves and Fourier sums Jon Claerbout An important concept in wave imaging is the extrapolation of a wavefield from one depth z to another. Fourier transforms are an essential basic tool. There are many books and chapters Add to Reading List Source URL: www.reproducibility.org Language: English - Date: 2013-11-11 23:14:02 Integral transforms Time series analysis Joseph Fourier Signal processing Fourier transform Frequency domain Convolution theorem Autocorrelation Short-time Fourier transform Mathematical analysis Mathematics Fourier analysis
20	Plane waves in three dimensions Jon Claerbout In this chapter we seek a deeper understanding of plane waves in three dimensions, where the examples and theory typically refer to functions of time t and two space coordina Add to Reading List Source URL: www.reproducibility.org Language: English - Date: 2013-11-11 23:05:13 Electronics Electromagnetism Filter theory Digital signal processing Filter Electronic filter Low-pass filter Plane wave Deconvolution Electronic engineering Signal processing Linear filters

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