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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_q4_mincover()
+%FIG_GEO_Q4_MINCOVER  问题四：31 点最小命中集与前向半盘覆盖语义。
+
+    S = fig_style();
+    D = load_data(S, 'geo_q4');
+    H = geom_helpers();
+    fig = figure('Color', 'w', 'Visible', 'off');
+    t = tiledlayout(fig, 1, 2, 'TileSpacing', 'compact', 'Padding', 'compact');
+
+    % 左：Ω 内的 31 个覆盖点
+    ax1 = nexttile(t);
+    hold(ax1, 'on');
+    hw = H.circle(ax1, [0 0], D.omega_r, pick_color(S, 'primary'), 1.2, '-');
+    hp = plot(ax1, D.points(:, 1), D.points(:, 2), 'o', 'MarkerSize', 5, ...
+              'MarkerFaceColor', pick_color(S, 'accent'), 'MarkerEdgeColor', 'none');
+    hold(ax1, 'off');
+    axis(ax1, 'equal');
+    xlim(ax1, [-D.half, D.half]);
+    ylim(ax1, [-D.half, D.half]);
+    xlabel(ax1, 'x / m');
+    ylabel(ax1, 'y / m');
+    legend(ax1, [hw, hp], D.legend, 'Location', 'southoutside', ...
+           'Orientation', 'horizontal');
+
+    % 右：前向半盘（朝向未知，±90°）
+    ax2 = nexttile(t);
+    hold(ax2, 'on');
+    H.poly(ax2, D.half_disk, pick_color(S, 'accent'), 0.30, 'none', 0.5);
+    H.circle(ax2, [0 0.5], 0.85, pick_color(S, 'muted'), 0.9, '-');
+    plot(ax2, [0 0], [0.5 - 0.85, 0.5 + 0.85], '--', ...
+         'Color', pick_color(S, 'accent'), 'LineWidth', 1.0);
+    H.arrow(ax2, [0 0.5], [0.85 0.5], pick_color(S, 'accent'));
+    text(ax2, 0.425, 0.30, D.radius_label, 'HorizontalAlignment', 'center', ...
+         'Interpreter', 'none');
+    text(ax2, 0.0, 1.55, D.heading_label, 'HorizontalAlignment', 'center', ...
+         'Interpreter', 'none');
+    hold(ax2, 'off');
+    axis(ax2, 'equal');
+    xlim(ax2, [-1.15 1.35]);
+    ylim(ax2, [-0.55 1.75]);
+    axis(ax2, 'off');
+
+    fig_save(fig, S, 'geo-q4-minimum-cover-31-points.png');
+end