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2026-09-13 10:27:09 +08:00
parent b810ec7777
commit 82311a47cc
52 changed files with 2563 additions and 1278 deletions
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+function fig_geo_q1_counterexample()
+%FIG_GEO_Q1_COUNTEREXAMPLE  问题一：等边三角形布站时直径圆不覆盖定位区域的反例。
+
+    S = fig_style();
+    D = load_data(S, 'geo_q1_counterexample');
+    H = geom_helpers();
+    fig = figure('Color', 'w', 'Visible', 'off');
+    t = tiledlayout(fig, 1, 2, 'TileSpacing', 'compact', 'Padding', 'compact');
+
+    % 左：角域交会总览
+    ax1 = nexttile(t);
+    hold(ax1, 'on');
+    hw = gobjects(0);
+    for i = 1:size(D.wedges, 1)
+        hw = H.wedge(ax1, squeeze(D.wedges(i, :, :)), pick_color(S, 'primary'), 0.25);
+    end
+    hr = plot(ax1, D.zoom_center(1), D.zoom_center(2), 's', 'MarkerSize', 6, ...
+              'MarkerFaceColor', pick_color(S, 'accent'), 'MarkerEdgeColor', 'none');
+    plot(ax1, D.stations(:, 1), D.stations(:, 2), 'o', 'MarkerSize', 6, ...
+         'MarkerFaceColor', pick_color(S, 'accent'), 'MarkerEdgeColor', 'none');
+    H.label_points(ax1, D.stations, D.station_labels, pick_color(S, 'accent'));
+    hold(ax1, 'off');
+    axis(ax1, 'equal');
+    xlim(ax1, D.view_center(1) + [-D.half_overview, D.half_overview]);
+    ylim(ax1, D.view_center(2) + [-D.half_overview, D.half_overview]);
+    xlabel(ax1, 'x / m');
+    ylabel(ax1, 'y / m');
+    legend(ax1, [hw(1), hr], D.legend1, 'Location', 'southoutside', ...
+           'Orientation', 'horizontal');
+
+    % 右：定位区域放大
+    ax2 = nexttile(t);
+    hold(ax2, 'on');
+    for i = 1:size(D.zoom_wedges, 1)
+        H.wedge(ax2, squeeze(D.zoom_wedges(i, :, :)), pick_color(S, 'primary'), 0.25);
+    end
+    H.poly(ax2, D.zoom_region, pick_color(S, 'accent'), 1, 'none', 0.5);
+    hd = H.circle(ax2, D.dc_center, D.dc_radius, pick_color(S, 'violet'), 1.2, '--');
+    hm = H.circle(ax2, D.mec_center, D.mec_radius, pick_color(S, 'success'), 1.4, '-');
+    H.marker(ax2, D.dc_center, pick_color(S, 'violet'), 5, true);
+    H.marker(ax2, D.mec_center, pick_color(S, 'success'), 5, true);
+    hold(ax2, 'off');
+    axis(ax2, 'equal');
+    xlim(ax2, D.zoom_center(1) + [-D.zoom_half, D.zoom_half]);
+    ylim(ax2, D.zoom_center(2) + [-D.zoom_half, D.zoom_half]);
+    xlabel(ax2, 'x / m');
+    ylabel(ax2, 'y / m');
+    legend(ax2, [hd, hm], D.legend2, 'Location', 'southoutside', ...
+           'Orientation', 'horizontal');
+
+    fig_save(fig, S, 'geo-q1-diameter-circle-counterexample.png');
+end