## Tuesday, May 1. 2012## Program of the month: sfderivComments
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I have been looking into this paper for a class in numerical solutions to PDEs to get optimized coefficients.
This paper gives good approximation to first order differentiators. What about second to n order derivatives? To get around this I use Fornberg, 1988 paper which gives similar results for first order derivatives, and optimized ones for higher order ones (which is much better than doing d2fdt2.rsf). After I am done with classes, I will put something under my user. Cheers, Esteban
I just added a new example (book/rsf/rsf/sfnderiv) comparing sfderiv with sfnderiv, a new
program based on Fornberg, 1988 paper. I demonstrate that both programs have equal impulse response for first derivatives. For higher order derivatives sfnderiv is better that piping several passes of sfderiv. |
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sfdip estimates a local slope (dip) using the plane-wave destruction algorithm. The dip is measured in time samples. If α is the dip angle, then the output of sfdip corresponds to the dimensionless quantity p=tanα. The following example

Weblog:Madagascar development blogTracked:Jun 04, 05:46sffft3 implements a complex-to-complex Fast Fourier Transform (FFT) along an arbitrary axis. The FFT library that Madagascar uses is KISS FFT, created by Mark Borgerding. KISS stands for Keep it simple, Stupid! KISS FFT may not be as fast as FFTW but i

Weblog:Madagascar development blogTracked:Jul 08, 12:34Previous programs of the month:sffft3sfdipsfderivsfgrey3sfspectrasfnoisesfgraphsfclipsfagcsfenvelopesfcontoursfsmooth

Weblog:Madagascar development blogTracked:Sep 03, 14:02sfpick performs automatic picking from semblance-like panels. The underlying algorithm is described in Appendix B of the paper Velocity analysis using AB semblance and is inspired by the method of virtual endoscopy in medical imaging. The following

Weblog:Madagascar development blogTracked:Sep 08, 16:07sfiwarp performs mapping between different coordinates. If you have sampled functions f(x) and y(x), sfiwarp with inv=y (the default) finds sampled f(y). If inv=n, sfiwarp takes f(y) and y(x) and finds f(x). In both cases, the sampled y(x) function is sup

Weblog:Madagascar development blogTracked:Sep 09, 12:52sfpick performs automatic picking from semblance-like panels. The underlying algorithm is described in Appendix B of the paper Velocity analysis using AB semblance and is inspired by the method of virtual endoscopy in medical imaging. The following

Weblog:Madagascar development blogTracked:Sep 09, 12:52sfkirmod is a program for modeling seismic reflection data using the Kirchhoff method. According to this method, the reflection response is computed by integrating over the reflector surface. For a theoretical derivation, see, for example, Haddon, R. A

Weblog:Madagascar development blogTracked:Oct 13, 19:46sfbandpass implements bandpass filtering using the Butterworth algorithm. The desired bandwidth is specified by low and high frequencies (in Hertz) flo= and fhi=. A continuous low-pass Butterworth filter is given by The actual filtering is imp

Weblog:Madagascar development blogTracked:Nov 18, 13:45sfhalfint implements half-order integration or differentiation, a filtering operation common in 2-D imaging operators such as as slant stacking or Kirchhoff migration. By default, sfhalfint performs half-order integration. To apply half-order different

Weblog:Madagascar development blogTracked:Jan 06, 16:58sfricker1 implements 1-D convolution with the Ricker wavelet. The following example from rsf/rsf/wedge shows convolution modeling with a wedge model using sfricker1. The convolution is implemented in the frequency domain, where the Ricker wavele

Weblog:Madagascar development blogTracked:Jan 18, 12:49sfricker1 implements 1-D convolution with the Ricker wavelet. The following example from rsf/rsf/wedge shows convolution modeling with a wedge model using sfricker1. The convolution is implemented in the frequency domain, where the Ricker wavele

Weblog:Madagascar development blogTracked:Jan 19, 12:00sfpwd implements plane-wave destruction, a filter that attenuates locally plane-wave events, as described in the paper Applications of plane-wave destruction filters. The following example from jsg/diffr/gom shows a seismic section before and after an

Weblog:Madagascar development blogTracked:Feb 09, 16:20sfpow multiplies the input data by a gain function of the form Gx1x2…,xn=x1p1x2p2⋯xnpn The powers p1,p2,…,pn are given by pow1=, pow2=, etc. parameters. For backward compatibility, sftpow tpow= is an alias for sfpow pow1=. The following examp

Weblog:Madagascar development blogTracked:Mar 11, 09:02