From cfd0d7e4e0f173823052df4d14a86b6e0df5a658 Mon Sep 17 00:00:00 2001 From: =?utf8?q?Bj=C3=B8rn=20Rustad?= Date: Wed, 17 Dec 2014 17:53:03 +0100 Subject: [PATCH] Much work --- fig/factory/bar.pgm | 5 + fig/factory/corr.tex | 995 +++++++++++++++++++--------------------- fig/factory/graphConv.m | 14 +- fig/factory/octagon.pgm | Bin 0 -> 10054 bytes fig/factory/pmake.py | 46 ++ fig/factory/rombus.pgm | Bin 0 -> 10054 bytes fig/pixel_perimeter.tex | 37 ++ introduction.tex | 65 +-- results.tex | 99 +++- theory.tex | 266 ++++++----- 10 files changed, 856 insertions(+), 671 deletions(-) create mode 100644 fig/factory/bar.pgm create mode 100644 fig/factory/octagon.pgm create mode 100644 fig/factory/rombus.pgm create mode 100644 fig/pixel_perimeter.tex diff --git a/fig/factory/bar.pgm b/fig/factory/bar.pgm new file mode 100644 index 0000000..2b907b8 --- /dev/null +++ b/fig/factory/bar.pgm @@ -0,0 +1,5 @@ +P5 +# CREATOR: GIMP PNM Filter Version 1.1 +256 256 +255 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\ No newline at end of file diff --git a/fig/factory/corr.tex b/fig/factory/corr.tex index 8b6a194..f577515 100644 --- a/fig/factory/corr.tex +++ b/fig/factory/corr.tex @@ -1,781 +1,724 @@ % Title: glps_renderer figure % Creator: GL2PS 1.3.8, (C) 1999-2012 C. 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300, 400, 500, 1000, 2000, 4000]; +gs = [0.05, 0.06, 0.07, 0.08, 0.09, 0.1, 0.11, 0.12, 0.13, 0.14, 0.15, 0.2, 0.3, 0.4, 0.5, 1, 2, 3, 4, 5, 10, 20, 30, 40]; + for g = gs - im = imread(['m_r_p2_n16_b6000_g', int2str(g), '_r3_s3.pgm']); + im = imread(['bar/r_p2_n16_b80000_g', num2str(g), '_r20_s15.pgm']); + %['bar/r_p2_n16_b10000_g', num2str(g), '_r15_s15.pgm'] - vals(idx) = corr(im(:), noise(:)); + vals(idx) = corr(im(:), orig(:)); idx = idx+1; end -vals +%vals semilogx(gs, vals, '*-'); xlabel('$\gamma$'); diff --git a/fig/factory/octagon.pgm b/fig/factory/octagon.pgm new file mode 100644 index 0000000000000000000000000000000000000000..9469dc2edec07b234b2606ca31108e8d4ee4f7a4 GIT binary patch literal 10054 zcmeH~%}N6?6ou2l#V}71=)QD>*|-y_#YO8-#5d@oAPUu&7sqKc6n7`T_X;8>(9I2# zkMrH6Bz@P+?cHv5`}DZGvFnFTZ~N`W-XC5*_DB1?KfWK{UTwQ*n|8Uh?$=y*U321~ z0UDqI8lV9hpaB~Arv}E_prM+!LIh(fJ;*msF>$pZgD1trs74*iw3c^NUm6ha@|THP zo@AIs7)A_Rl2)|WJGySG7yE3&%o(MT`JkaXq{lK 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'lena_gamma_seq': { 'orig': 'lena.pgm', 'q': [70], @@ -71,6 +106,17 @@ files = { 'g': [60] }, + 'lena_neigh': { + 'orig': 'lena.pgm', + 'q': [30], + 'p': [2], + 's': [5], + 'r': [10], + 'n': [16, 72], + 'b': [2000], + 'g': [80] + }, + 'grad': { 'orig': 'grad.pgm', 'q': [40], diff --git a/fig/factory/rombus.pgm b/fig/factory/rombus.pgm new file mode 100644 index 0000000000000000000000000000000000000000..c826249049d74395fd285be3e475fadd66a6b689 GIT binary patch literal 10054 zcmeI#%}T>S5C`yW@DTD83*My>dhsTr;-OlK_y#=`#6tDu#oD+bgr+sK^WWK7y=*{~ z%*W52WZPshtIqAs^7i`qX?bPuALa|Yc%0k2_3OuKYhPB|_x0w@))#eEPp8)XRF|_^ z)#M{jAWtAqAWtAqz?kGSFz!f?8`Aj zcQY2FgemlP{P*}OT2~9%5vyp8Vy~mLy~v~Z(m=@eU7(C#$!@|JCK}-h6N?~(F_Wlq zopFQe;xTs@NVsuH@2(w8$gfENAw)hsyL;>^Np9h>KHhU>@P_xcBZ7el(SX=?>GJA#DrT4c;RCR@WMwCZd|}hA_)YECU``F;1CtUA)bArMEF*sM$m{NK_RMy z+wuLU#_)IW_XSrlY~KCNRS4pzh@b^ua*Xi#qKqLTYJe0S5F}fe(<8!itgJ(@Tya*5 ah>Ov}KOoS5CFkV{n \lambda\}$ will be functions taking the value of 0 or 1 on this grid, as shown in Figure \fixme{ref}. The choice of our discrete set of lines $\mathcal{L}_D$ is important, as -it will decide the accuracy of our approximation in -\eqref{eq:cauchy_crofton_approx1}. We need some sensible restrictions on +it will decide the accuracy of our approximation. +We need some sensible restrictions on the set $\mathcal{L}_D$ to simplify the further discussion. All lines intersect at least two grid points, and from the periodicity of our grid they thus intersect an infinite number of grid points. This puts some @@ -1353,10 +1405,10 @@ this requirement.} \fixme{maybe with a $w_{xy}$ definition} -\fixme{edges here are a bit different from edges later} - \subsubsection{Consistency} +\fixme{Rating: 6/10} + Consistency relates to how well a solution to the continuous problem fits in the discretized equation, in other words, whether the discretized equation approximates the continuous one. -- 2.47.3