Mercurial > octave-nkf
annotate doc/interpreter/splineimages.m @ 19627:446c46af4b42 stable
strip trailing whitespace from most source files
* Makefile.am, NEWS, build-aux/common.mk, configure.ac,
doc/Makefile.am, doc/doxyhtml/Makefile.am,
doc/interpreter/Makefile.am, doc/interpreter/arith.txi,
doc/interpreter/audio.txi, doc/interpreter/basics.txi,
doc/interpreter/bugs.txi, doc/interpreter/container.txi,
doc/interpreter/cp-idx.txi, doc/interpreter/data.txi,
doc/interpreter/debug.txi, doc/interpreter/diagperm.txi,
doc/interpreter/diffeq.txi, doc/interpreter/doccheck/README,
doc/interpreter/doccheck/spellcheck, doc/interpreter/emacs.txi,
doc/interpreter/errors.txi, doc/interpreter/eval.txi,
doc/interpreter/expr.txi, doc/interpreter/external.txi,
doc/interpreter/fn-idx.txi, doc/interpreter/func.txi,
doc/interpreter/geometry.txi, doc/interpreter/geometryimages.m,
doc/interpreter/gpl.txi, doc/interpreter/grammar.txi,
doc/interpreter/gui.txi, doc/interpreter/image.txi,
doc/interpreter/install.txi, doc/interpreter/interp.txi,
doc/interpreter/interpimages.m, doc/interpreter/intro.txi,
doc/interpreter/io.txi, doc/interpreter/java.txi,
doc/interpreter/linalg.txi, doc/interpreter/macros.texi,
doc/interpreter/matrix.txi, doc/interpreter/munge-texi.pl,
doc/interpreter/nonlin.txi, doc/interpreter/numbers.txi,
doc/interpreter/obsolete.txi, doc/interpreter/octave-config.1,
doc/interpreter/octave.texi, doc/interpreter/oop.txi,
doc/interpreter/op-idx.txi, doc/interpreter/optim.txi,
doc/interpreter/package.txi, doc/interpreter/plot.txi,
doc/interpreter/poly.txi, doc/interpreter/preface.txi,
doc/interpreter/quad.txi, doc/interpreter/set.txi,
doc/interpreter/signal.txi, doc/interpreter/sparse.txi,
doc/interpreter/sparseimages.m, doc/interpreter/splineimages.m,
doc/interpreter/stats.txi, doc/interpreter/stmt.txi,
doc/interpreter/strings.txi, doc/interpreter/system.txi,
doc/interpreter/testfun.txi, doc/interpreter/tips.txi,
doc/interpreter/var.txi, doc/interpreter/vectorize.txi,
doc/liboctave/Makefile.am, doc/liboctave/array.texi,
doc/liboctave/bugs.texi, doc/liboctave/cp-idx.texi,
doc/liboctave/dae.texi, doc/liboctave/diffeq.texi,
doc/liboctave/error.texi, doc/liboctave/factor.texi,
doc/liboctave/fn-idx.texi, doc/liboctave/gpl.texi,
doc/liboctave/install.texi, doc/liboctave/intro.texi,
doc/liboctave/liboctave.texi, doc/liboctave/matvec.texi,
doc/liboctave/nleqn.texi, doc/liboctave/nlfunc.texi,
doc/liboctave/ode.texi, doc/liboctave/optim.texi,
doc/liboctave/preface.texi, doc/liboctave/quad.texi,
doc/liboctave/range.texi, doc/refcard/Makefile.am,
doc/refcard/refcard.tex, etc/HACKING, etc/NEWS.1, etc/NEWS.2,
etc/NEWS.3, etc/OLD-ChangeLogs/ChangeLog,
etc/OLD-ChangeLogs/doc-ChangeLog,
etc/OLD-ChangeLogs/scripts-ChangeLog,
etc/OLD-ChangeLogs/src-ChangeLog, etc/OLD-ChangeLogs/test-ChangeLog,
etc/PROJECTS, etc/README.Cygwin, etc/README.MacOS, etc/README.MinGW,
etc/README.gnuplot, etc/gdbinit, etc/icons/Makefile.am,
examples/@polynomial/end.m, examples/@polynomial/subsasgn.m,
examples/Makefile.am, examples/standalonebuiltin.cc,
libgui/Makefile.am, libgui/qterminal/libqterminal/README,
libgui/qterminal/libqterminal/unix/BlockArray.cpp,
libgui/qterminal/libqterminal/unix/BlockArray.h,
libgui/qterminal/libqterminal/unix/Character.h,
libgui/qterminal/libqterminal/unix/CharacterColor.h,
libgui/qterminal/libqterminal/unix/Emulation.cpp,
libgui/qterminal/libqterminal/unix/Emulation.h,
libgui/qterminal/libqterminal/unix/Filter.cpp,
libgui/qterminal/libqterminal/unix/Filter.h,
libgui/qterminal/libqterminal/unix/History.cpp,
libgui/qterminal/libqterminal/unix/History.h,
libgui/qterminal/libqterminal/unix/KeyboardTranslator.cpp,
libgui/qterminal/libqterminal/unix/KeyboardTranslator.h,
libgui/qterminal/libqterminal/unix/LineFont.h,
libgui/qterminal/libqterminal/unix/QUnixTerminalImpl.cpp,
libgui/qterminal/libqterminal/unix/QUnixTerminalImpl.h,
libgui/qterminal/libqterminal/unix/Screen.cpp,
libgui/qterminal/libqterminal/unix/Screen.h,
libgui/qterminal/libqterminal/unix/ScreenWindow.cpp,
libgui/qterminal/libqterminal/unix/ScreenWindow.h,
libgui/qterminal/libqterminal/unix/TerminalCharacterDecoder.cpp,
libgui/qterminal/libqterminal/unix/TerminalCharacterDecoder.h,
libgui/qterminal/libqterminal/unix/Vt102Emulation.h,
libgui/qterminal/libqterminal/win32/QWinTerminalImpl.cpp,
libgui/qterminal/qterminal/main.cpp,
libgui/src/m-editor/file-editor-tab.cc, libgui/src/octave-gui.cc,
libgui/src/octave-qt-link.cc, libinterp/corefcn/data.cc,
libinterp/corefcn/defun-int.h, libinterp/corefcn/det.cc,
libinterp/corefcn/gl2ps-renderer.cc, libinterp/corefcn/graphics.cc,
libinterp/corefcn/graphics.in.h, libinterp/corefcn/ls-mat5.cc,
libinterp/corefcn/lu.cc, libinterp/corefcn/oct-tex-parser.yy,
libinterp/corefcn/oct-tex-symbols.in, libinterp/corefcn/quadcc.cc,
libinterp/corefcn/zfstream.cc, libinterp/dldfcn/__eigs__.cc,
libinterp/dldfcn/__voronoi__.cc, libinterp/gendoc.pl,
libinterp/genprops.awk, libinterp/mk-errno-list, libinterp/mk-pkg-add,
libinterp/mkbuiltins, libinterp/mkdefs, libinterp/mkdocs,
libinterp/mkops, libinterp/octave-value/ov-java.cc,
libinterp/parse-tree/lex.ll, libinterp/parse-tree/oct-parse.in.yy,
libinterp/parse-tree/octave.gperf, liboctave/Makefile.am,
liboctave/array/Array.cc, liboctave/array/module.mk,
liboctave/cruft/daspk/datv.f, liboctave/cruft/daspk/dcnst0.f,
liboctave/cruft/daspk/dcnstr.f, liboctave/cruft/daspk/ddasic.f,
liboctave/cruft/daspk/ddasid.f, liboctave/cruft/daspk/ddasik.f,
liboctave/cruft/daspk/ddaspk.f, liboctave/cruft/daspk/ddstp.f,
liboctave/cruft/daspk/ddwnrm.f, liboctave/cruft/daspk/dfnrmd.f,
liboctave/cruft/daspk/dfnrmk.f, liboctave/cruft/daspk/dhels.f,
liboctave/cruft/daspk/dheqr.f, liboctave/cruft/daspk/dinvwt.f,
liboctave/cruft/daspk/dlinsd.f, liboctave/cruft/daspk/dlinsk.f,
liboctave/cruft/daspk/dmatd.f, liboctave/cruft/daspk/dnedd.f,
liboctave/cruft/daspk/dnedk.f, liboctave/cruft/daspk/dnsd.f,
liboctave/cruft/daspk/dnsid.f, liboctave/cruft/daspk/dnsik.f,
liboctave/cruft/daspk/dnsk.f, liboctave/cruft/daspk/dorth.f,
liboctave/cruft/daspk/dslvd.f, liboctave/cruft/daspk/dslvk.f,
liboctave/cruft/daspk/dspigm.f, liboctave/cruft/daspk/dyypnw.f,
liboctave/cruft/dasrt/ddasrt.f, liboctave/cruft/dasrt/drchek.f,
liboctave/cruft/dassl/ddaslv.f, liboctave/cruft/dassl/ddassl.f,
liboctave/cruft/misc/blaswrap.c, liboctave/cruft/misc/module.mk,
liboctave/cruft/odepack/cfode.f, liboctave/cruft/odepack/dlsode.f,
liboctave/cruft/odepack/ewset.f, liboctave/cruft/odepack/intdy.f,
liboctave/cruft/odepack/prepj.f, liboctave/cruft/odepack/sintdy.f,
liboctave/cruft/odepack/slsode.f, liboctave/cruft/odepack/solsy.f,
liboctave/cruft/odepack/ssolsy.f, liboctave/cruft/odepack/stode.f,
liboctave/cruft/odepack/vnorm.f, liboctave/cruft/ranlib/Basegen.doc,
liboctave/cruft/ranlib/README, liboctave/cruft/ranlib/genbet.f,
liboctave/cruft/ranlib/genexp.f, liboctave/cruft/ranlib/gennch.f,
liboctave/cruft/ranlib/gennf.f, liboctave/cruft/ranlib/gennor.f,
liboctave/cruft/ranlib/getsd.f, liboctave/cruft/ranlib/initgn.f,
liboctave/cruft/ranlib/phrtsd.f, liboctave/cruft/ranlib/randlib.fdoc,
liboctave/cruft/ranlib/setsd.f, liboctave/cruft/ranlib/tstgmn.for,
liboctave/cruft/ranlib/tstmid.for, liboctave/cruft/slatec-fn/atanh.f,
liboctave/cruft/slatec-fn/datanh.f,
liboctave/cruft/slatec-fn/xgmainc.f,
liboctave/cruft/slatec-fn/xsgmainc.f, liboctave/numeric/module.mk,
liboctave/operators/mk-ops.awk, liboctave/operators/mx-ops,
liboctave/operators/sparse-mk-ops.awk,
liboctave/operators/sparse-mx-ops, liboctave/operators/vx-ops,
liboctave/util/module.mk, run-octave.in, scripts/@ftp/ftp.m,
scripts/audio/wavread.m, scripts/deprecated/java_convert_matrix.m,
scripts/deprecated/java_debug.m, scripts/deprecated/java_invoke.m,
scripts/deprecated/java_new.m,
scripts/deprecated/java_unsigned_conversion.m,
scripts/deprecated/javafields.m, scripts/deprecated/javamethods.m,
scripts/deprecated/shell_cmd.m, scripts/general/accumarray.m,
scripts/general/display.m, scripts/general/fieldnames.m,
scripts/general/interp1.m, scripts/general/interp2.m,
scripts/general/interp3.m, scripts/general/isa.m,
scripts/general/methods.m, scripts/general/sortrows.m,
scripts/geometry/convhull.m, scripts/geometry/delaunay.m,
scripts/geometry/delaunay3.m, scripts/geometry/delaunayn.m,
scripts/geometry/griddata.m, scripts/geometry/griddatan.m,
scripts/geometry/voronoi.m, scripts/geometry/voronoin.m,
scripts/gui/guihandles.m, scripts/gui/inputdlg.m,
scripts/gui/listdlg.m, scripts/gui/msgbox.m, scripts/gui/questdlg.m,
scripts/gui/uigetfile.m, scripts/gui/waitbar.m, scripts/gui/warndlg.m,
scripts/help/doc.m, scripts/help/help.m, scripts/help/type.m,
scripts/image/bone.m, scripts/image/cmpermute.m,
scripts/image/cmunique.m, scripts/image/colorcube.m,
scripts/image/colormap.m, scripts/image/contrast.m,
scripts/image/gray2ind.m, scripts/image/image.m,
scripts/image/imshow.m, scripts/image/ind2gray.m, scripts/image/jet.m,
scripts/image/rgb2ntsc.m, scripts/image/spinmap.m,
scripts/io/importdata.m, scripts/io/strread.m, scripts/io/textread.m,
scripts/io/textscan.m, scripts/java/java_get.m,
scripts/java/java_set.m, scripts/java/javaaddpath.m,
scripts/java/javaclasspath.m, scripts/java/javamem.m,
scripts/linear-algebra/linsolve.m, scripts/linear-algebra/qzhess.m,
scripts/miscellaneous/debug.m, scripts/miscellaneous/desktop.m,
scripts/miscellaneous/dir.m, scripts/miscellaneous/dos.m,
scripts/miscellaneous/edit.m, scripts/miscellaneous/fact.m,
scripts/miscellaneous/getappdata.m, scripts/miscellaneous/inputname.m,
scripts/miscellaneous/license.m, scripts/miscellaneous/ls_command.m,
scripts/miscellaneous/run.m, scripts/miscellaneous/setfield.m,
scripts/miscellaneous/unix.m, scripts/miscellaneous/ver.m,
scripts/mk-pkg-add, scripts/mkdoc.pl,
scripts/optimization/fminsearch.m, scripts/optimization/optimset.m,
scripts/optimization/sqp.m, scripts/pkg/pkg.m,
scripts/pkg/private/create_pkgadddel.m,
scripts/pkg/private/fix_depends.m, scripts/pkg/private/install.m,
scripts/plot/appearance/axis.m, scripts/plot/appearance/box.m,
scripts/plot/appearance/clabel.m, scripts/plot/appearance/daspect.m,
scripts/plot/appearance/datetick.m, scripts/plot/appearance/grid.m,
scripts/plot/appearance/legend.m, scripts/plot/appearance/orient.m,
scripts/plot/appearance/shading.m, scripts/plot/appearance/text.m,
scripts/plot/appearance/title.m, scripts/plot/appearance/xlabel.m,
scripts/plot/appearance/ylabel.m, scripts/plot/appearance/zlabel.m,
scripts/plot/draw/area.m, scripts/plot/draw/bar.m,
scripts/plot/draw/barh.m, scripts/plot/draw/colorbar.m,
scripts/plot/draw/contour.m, scripts/plot/draw/contour3.m,
scripts/plot/draw/contourf.m, scripts/plot/draw/ellipsoid.m,
scripts/plot/draw/errorbar.m, scripts/plot/draw/ezcontour.m,
scripts/plot/draw/ezcontourf.m, scripts/plot/draw/ezmesh.m,
scripts/plot/draw/ezpolar.m, scripts/plot/draw/fill.m,
scripts/plot/draw/fplot.m, scripts/plot/draw/hist.m,
scripts/plot/draw/meshc.m, scripts/plot/draw/meshz.m,
scripts/plot/draw/pareto.m, scripts/plot/draw/patch.m,
scripts/plot/draw/peaks.m, scripts/plot/draw/pie.m,
scripts/plot/draw/pie3.m, scripts/plot/draw/plot.m,
scripts/plot/draw/plotyy.m, scripts/plot/draw/private/__bar__.m,
scripts/plot/draw/private/__contour__.m,
scripts/plot/draw/private/__errplot__.m,
scripts/plot/draw/private/__ezplot__.m,
scripts/plot/draw/private/__patch__.m,
scripts/plot/draw/private/__stem__.m, scripts/plot/draw/rectangle.m,
scripts/plot/draw/ribbon.m, scripts/plot/draw/rose.m,
scripts/plot/draw/scatter.m, scripts/plot/draw/scatter3.m,
scripts/plot/draw/semilogx.m, scripts/plot/draw/shrinkfaces.m,
scripts/plot/draw/sombrero.m, scripts/plot/draw/sphere.m,
scripts/plot/draw/stairs.m, scripts/plot/draw/stem.m,
scripts/plot/draw/stemleaf.m, scripts/plot/draw/surf.m,
scripts/plot/draw/surface.m, scripts/plot/draw/surfc.m,
scripts/plot/draw/surfl.m, scripts/plot/draw/surfnorm.m,
scripts/plot/draw/tetramesh.m, scripts/plot/draw/trimesh.m,
scripts/plot/draw/triplot.m, scripts/plot/draw/trisurf.m,
scripts/plot/util/__gnuplot_drawnow__.m,
scripts/plot/util/__plt_get_axis_arg__.m, scripts/plot/util/axes.m,
scripts/plot/util/clf.m, scripts/plot/util/copyobj.m,
scripts/plot/util/figure.m, scripts/plot/util/gcbo.m,
scripts/plot/util/graphics_toolkit.m, scripts/plot/util/hggroup.m,
scripts/plot/util/meshgrid.m, scripts/plot/util/newplot.m,
scripts/plot/util/print.m,
scripts/plot/util/private/__add_default_menu__.m,
scripts/plot/util/private/__fltk_print__.m,
scripts/plot/util/private/__gnuplot_print__.m,
scripts/plot/util/private/__print_parse_opts__.m,
scripts/plot/util/refreshdata.m, scripts/plot/util/subplot.m,
scripts/polynomial/conv.m, scripts/polynomial/poly.m,
scripts/polynomial/polyeig.m, scripts/polynomial/polyfit.m,
scripts/polynomial/polyval.m,
scripts/polynomial/private/__splinefit__.m,
scripts/polynomial/spline.m, scripts/prefs/prefdir.m,
scripts/prefs/preferences.m, scripts/prefs/private/prefsfile.m,
scripts/prefs/rmpref.m, scripts/signal/freqz.m,
scripts/signal/module.mk, scripts/sparse/eigs.m, scripts/sparse/pcg.m,
scripts/sparse/private/__sprand_impl__.m, scripts/sparse/sprand.m,
scripts/sparse/sprandn.m, scripts/sparse/spy.m, scripts/sparse/svds.m,
scripts/specfun/expint.m, scripts/specfun/factor.m,
scripts/special-matrix/gallery.m, scripts/special-matrix/hankel.m,
scripts/special-matrix/toeplitz.m, scripts/startup/inputrc,
scripts/statistics/base/kurtosis.m, scripts/statistics/base/moment.m,
scripts/statistics/base/qqplot.m, scripts/statistics/base/var.m,
scripts/statistics/distributions/betarnd.m,
scripts/statistics/distributions/binoinv.m,
scripts/statistics/distributions/binopdf.m,
scripts/statistics/distributions/binornd.m,
scripts/statistics/distributions/cauchy_rnd.m,
scripts/statistics/distributions/chi2rnd.m,
scripts/statistics/distributions/discrete_pdf.m,
scripts/statistics/distributions/discrete_rnd.m,
scripts/statistics/distributions/empirical_rnd.m,
scripts/statistics/distributions/exprnd.m,
scripts/statistics/distributions/frnd.m,
scripts/statistics/distributions/gamrnd.m,
scripts/statistics/distributions/geornd.m,
scripts/statistics/distributions/hygernd.m,
scripts/statistics/distributions/kolmogorov_smirnov_cdf.m,
scripts/statistics/distributions/laplace_cdf.m,
scripts/statistics/distributions/laplace_pdf.m,
scripts/statistics/distributions/logistic_cdf.m,
scripts/statistics/distributions/logistic_pdf.m,
scripts/statistics/distributions/lognrnd.m,
scripts/statistics/distributions/nbincdf.m,
scripts/statistics/distributions/nbininv.m,
scripts/statistics/distributions/nbinpdf.m,
scripts/statistics/distributions/nbinrnd.m,
scripts/statistics/distributions/normrnd.m,
scripts/statistics/distributions/poissinv.m,
scripts/statistics/distributions/poissrnd.m,
scripts/statistics/distributions/tinv.m,
scripts/statistics/distributions/trnd.m,
scripts/statistics/distributions/unidcdf.m,
scripts/statistics/distributions/unidpdf.m,
scripts/statistics/distributions/unidrnd.m,
scripts/statistics/distributions/unifrnd.m,
scripts/statistics/distributions/wblrnd.m,
scripts/statistics/models/module.mk,
scripts/statistics/tests/kruskal_wallis_test.m,
scripts/strings/base2dec.m, scripts/strings/deblank.m,
scripts/strings/dec2base.m, scripts/strings/dec2bin.m,
scripts/strings/dec2hex.m, scripts/strings/mat2str.m,
scripts/strings/ostrsplit.m, scripts/strings/regexptranslate.m,
scripts/strings/str2num.m, scripts/strings/strcat.m,
scripts/strings/strjoin.m, scripts/strings/strsplit.m,
scripts/strings/strtok.m, scripts/strings/strtrim.m,
scripts/strings/strtrunc.m, scripts/strings/substr.m,
scripts/testfun/__run_test_suite__.m, scripts/testfun/speed.m,
scripts/testfun/test.m, scripts/time/asctime.m,
scripts/time/datenum.m, scripts/time/datevec.m,
scripts/time/weekday.m, src/Makefile.am, test/Makefile.am,
test/build-bc-overload-tests.sh, test/build-sparse-tests.sh,
test/jit.tst, test/line-continue.tst: Strip trailing whitespace.
| author | John W. Eaton <jwe@octave.org> |
|---|---|
| date | Tue, 20 Jan 2015 08:26:57 -0500 |
| parents | d63878346099 |
| children | 4197fc428c7d |
| rev | line source |
|---|---|
|
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|
1 ## Copyright (C) 2012-2013 Ben Abbott, Jonas Lundgren |
| 14509 | 2 ## |
| 3 ## This file is part of Octave. | |
| 4 ## | |
| 5 ## Octave is free software; you can redistribute it and/or modify it | |
| 6 ## under the terms of the GNU General Public License as published by | |
| 7 ## the Free Software Foundation; either version 3 of the License, or (at | |
| 8 ## your option) any later version. | |
| 9 ## | |
| 10 ## Octave is distributed in the hope that it will be useful, but | |
| 11 ## WITHOUT ANY WARRANTY; without even the implied warranty of | |
| 12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU | |
| 13 ## General Public License for more details. | |
| 14 ## | |
| 15 ## You should have received a copy of the GNU General Public License | |
| 16 ## along with Octave; see the file COPYING. If not, see | |
| 17 ## <http://www.gnu.org/licenses/>. | |
| 18 | |
| 19 function splineimages (nm, typ) | |
| 20 graphics_toolkit ("gnuplot"); | |
| 21 set_print_size (); | |
| 22 hide_output (); | |
| 23 if (strcmp (typ, "png")) | |
| 24 set (0, "defaulttextfontname", "*"); | |
| 25 endif | |
| 26 if (strcmp (typ, "eps")) | |
| 27 d_typ = "-depsc2"; | |
| 28 else | |
|
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29 d_typ = ["-d" typ]; |
| 14509 | 30 endif |
| 31 | |
| 32 if (strcmp (typ, "txt")) | |
| 33 image_as_txt (nm); | |
| 34 elseif (strcmp (nm, "splinefit1")) ## Breaks and Pieces | |
| 35 x = 2 * pi * rand (1, 200); | |
| 36 y = sin (x) + sin (2 * x) + 0.2 * randn (size (x)); | |
| 37 ## Uniform breaks | |
| 38 breaks = linspace (0, 2 * pi, 41); ## 41 breaks, 40 pieces | |
| 39 pp1 = splinefit (x, y, breaks); | |
| 40 ## Breaks interpolated from data | |
| 41 pp2 = splinefit (x, y, 10); ## 11 breaks, 10 pieces | |
| 42 ## Plot | |
| 43 xx = linspace (0, 2 * pi, 400); | |
| 44 y1 = ppval (pp1, xx); | |
| 45 y2 = ppval (pp2, xx); | |
|
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46 plot (x, y, ".", xx, [y1; y2]); |
|
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47 axis tight; |
|
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48 ylim ([-2.5 2.5]); |
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49 legend ("data", "41 breaks, 40 pieces", "11 breaks, 10 pieces"); |
|
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parents:
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|
50 print ([nm "." typ], d_typ); |
| 14509 | 51 elseif (strcmp (nm, "splinefit2")) ## Spline orders |
| 52 ## Data (200 points) | |
| 53 x = 2 * pi * rand (1, 200); | |
| 54 y = sin (x) + sin (2 * x) + 0.1 * randn (size (x)); | |
| 55 ## Splines | |
| 56 pp1 = splinefit (x, y, 8, "order", 0); ## Piecewise constant | |
| 57 pp2 = splinefit (x, y, 8, "order", 1); ## Piecewise linear | |
| 58 pp3 = splinefit (x, y, 8, "order", 2); ## Piecewise quadratic | |
| 59 pp4 = splinefit (x, y, 8, "order", 3); ## Piecewise cubic | |
| 60 pp5 = splinefit (x, y, 8, "order", 4); ## Etc. | |
| 61 ## Plot | |
| 62 xx = linspace (0, 2 * pi, 400); | |
| 63 y1 = ppval (pp1, xx); | |
| 64 y2 = ppval (pp2, xx); | |
| 65 y3 = ppval (pp3, xx); | |
| 66 y4 = ppval (pp4, xx); | |
| 67 y5 = ppval (pp5, xx); | |
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68 plot (x, y, ".", xx, [y1; y2; y3; y4; y5]); |
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69 axis tight; |
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70 ylim ([-2.5 2.5]); |
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71 legend ({"data", "order 0", "order 1", "order 2", "order 3", "order 4"}); |
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72 print ([nm, "." typ], d_typ); |
| 14509 | 73 elseif (strcmp (nm, "splinefit3")) |
| 74 ## Data (100 points) | |
| 75 x = 2 * pi * [0, (rand (1, 98)), 1]; | |
| 76 y = sin (x) - cos (2 * x) + 0.2 * randn (size (x)); | |
| 77 ## No constraints | |
| 78 pp1 = splinefit (x, y, 10, "order", 5); | |
| 79 ## Periodic boundaries | |
| 80 pp2 = splinefit (x, y, 10, "order", 5, "periodic", true); | |
| 81 ## Plot | |
| 82 xx = linspace (0, 2 * pi, 400); | |
| 83 y1 = ppval (pp1, xx); | |
| 84 y2 = ppval (pp2, xx); | |
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85 plot (x, y, ".", xx, [y1; y2]); |
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86 axis tight; |
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87 ylim ([-2 3]); |
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88 legend ({"data", "no constraints", "periodic"}); |
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89 print ([nm "." typ], d_typ); |
| 14509 | 90 elseif (strcmp (nm, "splinefit4")) |
| 91 ## Data (200 points) | |
| 92 x = 2 * pi * rand (1, 200); | |
| 93 y = sin (2 * x) + 0.1 * randn (size (x)); | |
| 94 ## Breaks | |
| 95 breaks = linspace (0, 2 * pi, 10); | |
| 96 ## Clamped endpoints, y = y" = 0 | |
| 97 xc = [0, 0, 2*pi, 2*pi]; | |
| 98 cc = [(eye (2)), (eye (2))]; | |
| 99 con = struct ("xc", xc, "cc", cc); | |
| 100 pp1 = splinefit (x, y, breaks, "constraints", con); | |
| 101 ## Hinged periodic endpoints, y = 0 | |
| 102 con = struct ("xc", 0); | |
| 103 pp2 = splinefit (x, y, breaks, "constraints", con, "periodic", true); | |
| 104 ## Plot | |
| 105 xx = linspace (0, 2 * pi, 400); | |
| 106 y1 = ppval (pp1, xx); | |
| 107 y2 = ppval (pp2, xx); | |
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108 plot (x, y, ".", xx, [y1; y2]); |
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109 axis tight; |
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110 ylim ([-1.5 1.5]); |
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111 legend({"data", "clamped", "hinged periodic"}); |
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112 print ([nm "." typ], d_typ); |
| 14509 | 113 elseif (strcmp (nm, "splinefit5")) |
| 114 ## Truncated data | |
| 115 x = [0, 1, 2, 4, 8, 16, 24, 40, 56, 72, 80] / 80; | |
| 116 y = [0, 28, 39, 53, 70, 86, 90, 79, 55, 22, 2] / 1000; | |
| 117 xy = [x; y]; | |
| 118 ## Curve length parameter | |
| 119 ds = sqrt (diff (x).^2 + diff (y).^2); | |
| 120 s = [0, cumsum(ds)]; | |
| 121 ## Constraints at s = 0: (x,y) = (0,0), (dx/ds,dy/ds) = (0,1) | |
| 122 con = struct ("xc", [0 0], "yc", [0 0; 0 1], "cc", eye (2)); | |
| 123 ## Fit a spline with 4 pieces | |
| 124 pp = splinefit (s, xy, 4, "constraints", con); | |
| 125 ## Plot | |
| 126 ss = linspace (0, s(end), 400); | |
| 127 xyfit = ppval (pp, ss); | |
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128 xyb = ppval (pp, pp.breaks); |
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129 plot (x, y, ".", xyfit(1,:), xyfit(2,:), "r", xyb(1,:), xyb(2,:), "ro"); |
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130 legend ({"data", "spline", "breaks"}); |
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131 axis tight; |
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132 ylim ([0 0.1]); |
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133 print ([nm "." typ], d_typ); |
| 14509 | 134 elseif (strcmp (nm, "splinefit6")) |
| 135 ## Data | |
| 136 x = linspace (0, 2*pi, 200); | |
| 137 y = sin (x) + sin (2 * x) + 0.05 * randn (size (x)); | |
| 138 ## Add outliers | |
| 139 x = [x, linspace(0,2*pi,60)]; | |
| 140 y = [y, -ones(1,60)]; | |
| 141 ## Fit splines with hinged conditions | |
| 142 con = struct ("xc", [0, 2*pi]); | |
| 143 pp1 = splinefit (x, y, 8, "constraints", con, "beta", 0.25); ## Robust fitting | |
| 144 pp2 = splinefit (x, y, 8, "constraints", con, "beta", 0.75); ## Robust fitting | |
| 145 pp3 = splinefit (x, y, 8, "constraints", con); ## No robust fitting | |
| 146 ## Plot | |
| 147 xx = linspace (0, 2*pi, 400); | |
| 148 y1 = ppval (pp1, xx); | |
| 149 y2 = ppval (pp2, xx); | |
| 150 y3 = ppval (pp3, xx); | |
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151 plot (x, y, ".", xx, [y1; y2; y3]); |
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152 legend ({"data with outliers","robust, beta = 0.25", ... |
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153 "robust, beta = 0.75", "no robust fitting"}); |
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154 axis tight; |
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155 ylim ([-2 2]); |
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156 print ([nm "." typ], d_typ); |
| 14509 | 157 endif |
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158 hide_output (); |
| 14509 | 159 endfunction |
| 160 | |
| 161 function set_print_size () | |
| 162 image_size = [5.0, 3.5]; # in inches, 16:9 format | |
| 163 border = 0; # For postscript use 50/72 | |
| 164 set (0, "defaultfigurepapertype", "<custom>"); | |
| 165 set (0, "defaultfigurepaperorientation", "landscape"); | |
| 166 set (0, "defaultfigurepapersize", image_size + 2*border); | |
| 167 set (0, "defaultfigurepaperposition", [border, border, image_size]); | |
| 168 endfunction | |
| 169 | |
| 170 ## Use this function before plotting commands and after every call to | |
| 171 ## print since print() resets output to stdout (unfortunately, gnpulot | |
| 172 ## can't pop output as it can the terminal type). | |
| 173 function hide_output () | |
| 174 f = figure (1); | |
| 175 set (f, "visible", "off"); | |
| 176 endfunction | |
| 177 | |
| 178 ## generate something for the texinfo @image command to process | |
| 179 function image_as_txt(nm) | |
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180 fid = fopen (sprintf ("%s.txt", nm), "wt"); |
| 14509 | 181 fputs (fid, "\n"); |
| 182 fputs (fid, "+---------------------------------+\n"); | |
| 183 fputs (fid, "| Image unavailable in text mode. |\n"); | |
| 184 fputs (fid, "+---------------------------------+\n"); | |
| 185 fclose (fid); | |
| 186 endfunction | |
| 187 | |
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188 |
| 14509 | 189 %!demo |
| 190 %! for s = 1:6 | |
| 191 %! splineimages (sprintf ("splinefit##d", s), "pdf") | |
| 192 %! endfor | |
| 193 |