From 49c4d79ea2a1884316204fd1becd61bca2b1e9ac Mon Sep 17 00:00:00 2001 From: Bas Nijholt <basnijholt@gmail.com> Date: Tue, 17 Sep 2019 15:17:58 +0200 Subject: [PATCH] add one more subplot --- figures.ipynb | 10 +++++----- figures/line_loss.pdf | Bin 39558 -> 41700 bytes paper.md | 6 ++++-- 3 files changed, 9 insertions(+), 7 deletions(-) diff --git a/figures.ipynb b/figures.ipynb index d8677f6..2f8ff0d 100644 --- a/figures.ipynb +++ b/figures.ipynb @@ -487,7 +487,7 @@ "source": [ "from matplotlib.patches import Polygon\n", "\n", - "fig, axs = plt.subplots(4, 1, figsize=(fig_width, 1.5 * fig_height))\n", + "fig, axs = plt.subplots(5, 1, figsize=(fig_width, 1.5 * fig_height))\n", "f = lambda x: np.sin(x)**2\n", "xs = np.array([0, 1.3, 3, 5, 7, 8])\n", "ys = f(xs)\n", @@ -505,11 +505,11 @@ " \n", "for i, ax in enumerate(axs):\n", " ax.axis(\"off\")\n", - " ax.set_ylim(-2, 2)\n", - " label = \"abcd\"[i]\n", + " ax.set_ylim(-1.5, 1.5)\n", + " label = \"abcde\"[i]\n", " ax.text(\n", " 0.5,\n", - " 0.8,\n", + " 0.9,\n", " f\"$\\mathrm{{({label})}}$\",\n", " transform=ax.transAxes,\n", " horizontalalignment=\"center\",\n", @@ -533,7 +533,7 @@ "\n", "plot_tri(xs, axs[1])\n", "\n", - "for i in [2, 3]:\n", + "for i in [2, 3, 4]:\n", " ax = axs[i]\n", " learner = adaptive.Learner1D(\n", " f,\n", diff --git a/figures/line_loss.pdf b/figures/line_loss.pdf index beb35e7af8f044f2290e39494801229d3094afdf..02ec22e142dc458c06fd4727c997ec8a0b7c13c9 100644 GIT binary patch delta 8265 zcmZXYbyOWqx8{Sp%fX%Chl9Jj1$Pe;+?_xNJ-7sS3GVLhfe>7R1$PJzfdq#4-kCcy z-`oH6?x(7r{#Ea_y4K#|&9J+}uyvX+=saKnE)G5cE`DwSfh1EH55V|qjb*#*`ho7Q zh5=*NbzL%5Ck&iP+1e*iD#**T(y?DPoUZRNAWv$;QhJSSV}h?7o?DAxn9hQRxF2u# zc2ta_=c!rj`Onf9p=X?zzh@85qrm9POT<f$Sm6C?-t({C-shXWr=MiK&$pZ6{(|sn z?>H7oXrCX&9&39JG=cb@JNS-9;BW2VmMT<?@`Q;j;F!Tw(ycpXBd*7j+XAWli|t{l zk-Jy_9&Q})`{<!|RE)g$$&)I2>p@ixEAB6op)3}XscLc2>~uh6X>JZX#W%kja?WRj zT@N?<WaZq!uYB0o`6Ic4fk<wG#ac>bA?S<#3<SbU%bcBKr9i4wJU*i!db$N8)fbs> 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a/paper.md b/paper.md index e224005..643db28 100755 --- a/paper.md +++ b/paper.md @@ -198,13 +198,15 @@ By adding the two loss functions, we can combine the 3D area loss to exploit int ## Line simplification loss #### The line simplification loss is based on an inverse Visvalingam’s algorithm. -Inspired by a method commonly employed in digital cartography for coastline simplification, Visvalingam's algorithm, we construct a loss function that does its reverse. [@visvalingam1990douglas] +Inspired by a method commonly employed in digital cartography for coastline simplification, Visvalingam's algorithm, we construct a loss function that does its reverse.[@visvalingam1990douglas] +Here, at each point (ignoring the boundary points), we compute the effective area associated with its triangle, see Fig. @fig:line_loss(b). +The loss then becomes the average area of two adjacent traingles. {#fig:line_loss} +Subplots (c), (d), and (e) show the subsequent time steps following (b).](figures/line_loss.pdf){#fig:line_loss} <!-- https://bost.ocks.org/mike/simplify/ --> -- GitLab