检查两点是否对称/不对称

计算科学 计算几何
2021-12-13 12:12:46

我正在开发一个 Android 应用程序,它可以让一群孩子在特定区域绘制他们想要的任何东西。我需要检查他们绘制的线条和图形是否对称。问题是,由于该应用程序旨在让他们徒手绘制,因此我不知道如何通过考虑一定的灵​​活性来比较线条。例如,我会考虑在图像中对称这两个“三角形”:

在此处输入图像描述

即使它们具有不同的倾角和相同的长度。你有什么建议吗?这些是两个形状的点,您是否注意到我可以使用任何常量或类似的东西来找到我需要的东西?

1303.9062, 245.88171
1306.9531, 239.48767
1309.055, 234.89392
1309.9219, 231.82782
1312.2241, 231.00659
1312.8906, 228.64291
1312.8906, 226.54477
1315.9375, 227.98535
1315.9375, 231.00659
1319.2817, 236.99414
1319.9219, 243.00916
1322.1042, 244.02539
1322.8906, 248.47485
1322.8906, 251.52356
1322.8906, 255.54462
1324.9263, 256.98926
1325.9375, 260.74615
1325.9375, 265.4226
1325.9375, 267.45148
1325.9375, 269.0193
1330.1698, 269.0193
1328.9062, 275.0343
1328.9062, 275.9956
1328.9062, 279.01685
1328.9062, 281.98315
1331.9531, 285.0044
1331.9531, 285.0044

底部三角形:

1133.9062, 950.9956
1133.9062, 955.37256
1136.1552, 959.9429
1136.9531, 965.0901
1138.6583, 968.71606
1139.9219, 972.3617
1142.586, 976.9783
1143.9062, 982.42285
1146.608, 985.6449
1146.9531, 990.5189
1149.9219, 999.83105
1149.9219, 1002.55286
1153.7056, 1005.82275
1152.8906, 1010.1306
1154.862, 1011.9697
1155.9375, 1016.5016
1155.9375, 1018.0122
1155.9375, 1020.9785
1155.9375, 1024.9885
1159.9219, 1024.9885
1163.43, 1017.47314
1162.8906, 1013.48035
1165.9375, 1008.792
1167.0302, 1000.8804
1168.9062, 995.6416
1171.9531, 990.8357
1175.2189, 986.532
1175.9375, 981.4552
1178.9062, 975.46765
1181.9531, 970.21094
1181.9531, 966.84827
1186.4062, 966.9807
1184.9219, 962.5906
1184.9219, 960.99316
1187.8906, 960.99316
1187.8906, 956.98315
1187.8906, 956.98315
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