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Relevé alimenbtaires

load('Randonnee.RData')

library(knitr)
library(kableExtra)

kable(cbind(long,lat,alti),'html',caption="Donn?es fournies dans Randonnee.RData") %>%
  kable_styling() %>%
  scroll_box(width = "20cm", height='7cm')
Donn?es fournies dans Randonnee.RData
long lat alti
99.0624679 53.3076627 1503.552
-6.8700422 28.2190488 1565.064
-3.9917884 92.2394410 1523.288
31.8887100 -9.1710346 1495.187
20.8955966 25.1860652 1612.269
15.3682732 80.5044866 1511.161
11.4690357 88.5174201 1503.051
79.8319344 102.4300348 1535.229
56.0075673 107.6692620 1503.432
29.4260498 16.7352382 1573.805
-4.3391908 102.0056042 1478.104
72.7352515 32.1038612 1557.071
80.2107291 0.1943822 1509.054
13.0087572 93.5295195 1519.488
17.4792537 -7.7909738 1517.155
35.5514487 5.6133995 1532.295
13.5712102 25.8517935 1614.147
2.0481796 -7.4330306 1508.660
22.9454398 27.9979667 1606.543
36.9931913 31.7602686 1551.006
17.0726327 80.8224924 1498.533
97.9897970 77.7829623 1547.869
100.2870167 61.8244704 1510.328
105.5622748 106.6027542 1507.775
21.9907795 12.9867447 1559.080
46.8235776 29.8245296 1565.675
45.4129347 61.9143907 1490.260
34.3569008 93.7161598 1505.586
35.6348959 -3.0641687 1517.431
42.1465047 90.6220438 1496.808
54.9246438 71.5075653 1522.724
-0.6032085 107.4425999 1503.936
38.9608041 79.0489369 1504.162
107.5811816 23.9735269 1519.739
52.8454450 100.7978796 1512.662
50.1340882 -0.9997788 1531.310
7.7555722 32.0321676 1648.128
-5.8852304 3.6869886 1522.290
105.2549906 78.7011588 1518.597
47.1467618 66.8373312 1522.303
-4.6626037 92.5977188 1479.269
8.7576174 34.3697844 1641.704
52.2500823 13.6763844 1536.718
-7.6250490 -0.9289558 1501.063
36.5993508 54.0141936 1499.579
92.0424269 84.5729018 1555.299
103.4379530 33.0318845 1510.353
50.7240071 2.2425787 1509.026
97.4716941 77.9736253 1515.126
73.7016949 99.7308117 1536.054
93.0219061 67.1765613 1547.277
65.6176874 98.6371979 1526.580
-1.3699311 73.6878124 1495.551
52.3760663 78.5963519 1530.826
84.7114132 42.2642248 1495.388
107.5771911 48.0871036 1506.657
64.4604991 27.6326412 1591.445
59.9686836 51.0937702 1505.332
8.4859424 75.3498196 1493.466
60.8453952 81.6616607 1542.620
32.6244900 26.3138900 1555.251
109.0847392 29.1766504 1516.603
72.0450547 19.7782183 1586.880
62.9426072 27.6257777 1591.079
49.7946765 51.4461836 1512.832
-3.7844638 108.6813870 1496.539
14.6025297 102.8902643 1511.974
68.9487006 98.7188453 1524.002
19.4557040 103.9766379 1498.990
23.4424702 91.6052843 1507.005
96.9559850 17.2084007 1540.036
17.4085176 16.5421165 1569.178
7.6359436 93.0814601 1499.439
105.9557061 88.8294518 1510.976
-0.6395778 27.0807526 1583.589
40.0386443 95.0945388 1494.300
108.1165074 91.5913831 1499.777
37.4706876 36.5362536 1548.957
85.6727815 15.5733686 1548.695
83.4007558 32.6764199 1546.176
34.5829461 80.8233364 1503.971
74.1981223 56.3901347 1552.938
65.7956928 21.5336391 1590.259
63.1200929 44.2666265 1501.393
54.6831032 75.6658447 1534.508
25.2570909 8.4122134 1540.408
109.0367705 -4.0753386 1503.623
45.4518286 7.7297729 1527.511
77.6834594 45.9806080 1499.680
40.0775024 78.3242334 1501.483
46.8420351 9.7027086 1520.665
67.0032970 47.9183023 1531.010
62.9415996 28.0067210 1580.939
4.6844503 59.6427374 1497.629
12.4587184 55.0600018 1535.396
97.3825485 59.4960008 1513.649
0.6584921 90.8339782 1488.929
34.1886764 36.2218561 1548.870
-3.9022830 -6.3884918 1494.956
15.7665207 64.0273335 1494.208
109.2956715 107.3541429 1498.673
103.5520772 6.5037241 1505.485
73.3759137 22.8530218 1614.789
108.1589985 64.7802229 1505.992
38.7293840 58.6801093 1505.095
26.9991154 52.6071416 1543.953
93.2730551 14.1047208 1539.745
74.6520478 74.5988890 1719.653
-3.8600043 32.2399566 1569.702
91.0284812 61.8065544 1530.437
39.7020352 44.2541240 1507.814
89.3797159 -0.0059296 1513.673
8.9815342 12.6989354 1558.054
37.3474934 83.3984831 1521.442
82.5426909 72.2339545 1730.754
41.5408641 -3.0519692 1507.140
69.1754561 49.5537411 1536.695
107.2183426 59.4791128 1494.653
95.5583194 36.3866017 1522.613
45.1385816 32.8278674 1529.149
71.4557269 53.9506069 1527.618
0.6201439 52.5379462 1534.111
86.4482111 -1.9838803 1485.289
49.4328418 57.9250941 1511.933
8.9252843 -6.5767055 1510.112
48.3882847 15.9442132 1544.139
101.8168975 85.5506530 1505.108
73.1332982 36.1948201 1537.994
78.2796414 75.6409429 1763.630
33.9245340 69.5515850 1504.757
64.2372093 101.3554996 1507.480
54.9992699 56.6553987 1510.998
34.5305953 9.1060737 1533.052
86.1025130 53.3294582 1527.883
17.8944715 18.5229879 1591.969
65.3099775 92.7764085 1540.220
68.3107806 78.4274628 1609.276
-9.1280097 74.9568642 1500.164
-8.4378068 7.7611201 1515.473
-9.4375850 58.2351528 1500.782
72.9383652 9.1428750 1545.672
3.1518398 44.8344709 1593.204
-4.5201100 82.0173986 1506.172
85.1011407 94.7242777 1540.134
58.4218492 85.5438200 1514.645
21.5381986 84.0624910 1490.193
79.5683257 107.7563988 1519.539
16.8094861 0.1065805 1518.925
13.7168195 52.0209065 1557.457
61.6293227 22.2596313 1603.621
68.8874839 72.1662832 1591.796
31.9630115 53.6803757 1522.681
-2.4530409 104.8597823 1496.549
67.5898129 64.8423330 1574.086
-7.8298760 86.5592916 1505.518
106.1900164 109.1123272 1505.576
30.3883853 70.1951086 1501.087
37.8230056 88.7199266 1506.887
85.1603546 60.2615274 1588.606
11.7026249 76.6645402 1495.859
-1.5148323 36.7445473 1582.416
80.6039050 108.0380414 1492.412
42.9912725 23.7753807 1542.679
65.6447334 51.4841565 1528.102
31.0267306 82.7948433 1496.188
15.2377335 60.5768411 1516.101
35.1865419 32.5634608 1557.464
59.5301555 44.2504127 1521.483
93.0327959 66.2506154 1540.498
19.7201658 20.2465274 1598.686
4.4496954 60.1801283 1517.926
43.5310138 89.3777994 1512.035
57.3573328 66.7790963 1515.571
96.1369763 99.0289473 1507.688
53.9646099 38.8948529 1522.677
6.4655638 55.8074369 1521.504
109.9032347 14.6825246 1513.087
57.0984624 80.8084841 1528.505
108.2334729 -7.0929847 1508.686
66.5735029 16.4661541 1569.290
26.3783911 74.6614091 1489.932
95.4501844 92.9089064 1525.671
12.1398498 -1.6929547 1516.118
61.3491014 -3.2044426 1497.463
97.0415713 92.2378615 1507.057
67.8564440 57.2680875 1536.328
94.5919541 17.4978882 1538.884
107.7176833 48.5589143 1500.362
86.2763029 52.1070050 1527.315
109.9107141 85.6347466 1509.714
82.0665086 102.9683853 1507.577
74.3138162 72.2160242 1685.401
32.8671800 107.6644860 1503.280
74.6963442 26.8117389 1586.010
24.5364777 75.7511033 1495.289
64.5714931 40.3632850 1511.456
29.4825232 36.9292619 1589.894
42.2030134 95.1776168 1505.560
32.9716050 12.2117467 1553.082
47.3855472 74.9843602 1537.770
32.9537145 16.3360995 1574.133
19.7007396 86.4568328 1487.686
82.3053686 85.2028623 1698.334
29.7235724 66.4521574 1509.959
41.6190261 99.0089405 1511.693
0.4811028 77.2090162 1503.002
33.8853365 31.3755255 1569.472
69.1828809 -0.2142083 1484.409
-8.5955022 68.7260890 1498.053
83.8354765 80.6439016 1710.081
38.8785215 81.4825360 1509.792
101.6520975 95.0324957 1500.674
38.2653881 15.0770843 1554.486
92.0097578 79.4081350 1580.155
48.5082542 7.1348003 1499.173
37.4501140 0.8510836 1508.732
97.5671286 36.7153758 1514.219
32.2246511 47.0856551 1547.203
27.6389411 -4.2890589 1510.215
-9.0511564 93.6098017 1493.465
77.5580233 39.0210219 1550.051
94.9180675 40.9643174 1498.312
58.0855414 86.3287291 1528.816
41.4742304 85.9292547 1518.739
-4.9285801 19.5426376 1537.191
12.5128935 54.1810474 1522.310
98.8614764 29.0301088 1512.817
-2.2395305 13.0767943 1530.683
-7.8879634 96.4831019 1502.368
106.0577077 29.4490712 1521.374
56.8031475 103.1553699 1519.785
3.2581064 16.1983463 1553.751
55.3891077 81.7767231 1514.695
109.5003712 34.9192071 1507.356
103.9531725 2.6824025 1515.738
90.9163884 64.6651965 1565.437
17.5675969 40.4335865 1605.220
56.6706462 53.7304172 1530.561
103.7406261 108.0123845 1510.335
83.7976525 10.6557069 1517.980
36.3899025 58.6566456 1503.187
41.1020887 37.8390720 1530.025
-8.1780918 100.2869428 1519.485
11.0855115 82.6831211 1510.155
78.5711419 67.2791163 1704.259
10.5236860 19.0974620 1572.168
87.2162916 51.8274711 1526.432
88.9293157 85.9404894 1574.387
10.9053526 68.4225406 1505.185
9.4655780 81.5465188 1491.694
49.8283107 108.2866624 1508.596
-9.5947153 92.2925736 1499.622
84.1258040 96.2783463 1542.454
43.7018672 44.9876156 1516.929
39.2791223 80.1971819 1513.394
34.7361794 19.1695937 1561.411
59.4643598 34.0714970 1570.119
54.2132162 -0.7885425 1527.899
95.8608577 69.9028278 1516.370
79.3937709 8.9799858 1507.082
-3.4154369 74.7767093 1503.140
102.3425618 18.2671573 1507.488
42.2433895 75.0631941 1512.044
80.3533921 12.8802847 1550.120
-2.8782635 -1.4969069 1519.303
95.1028680 15.3441908 1528.015
53.0508449 67.9876337 1532.086
75.5722174 3.9519753 1502.610
92.1211206 17.0929100 1532.950
66.5940911 61.7554280 1547.222
68.3343318 24.4713866 1617.225
89.6319729 92.8701326 1535.141
100.8202775 87.0977263 1507.188
21.3615679 33.1135690 1628.742
88.6541885 39.6670205 1526.841
108.5622098 74.8217273 1485.196
56.0671732 2.7101703 1484.626
69.1604764 34.1565359 1550.667
63.3533009 91.0166136 1529.457
-1.9578196 98.7146702 1502.354
81.3425835 21.5284310 1589.093
44.2450981 57.6431321 1514.573
88.3049812 -8.4029509 1487.451
98.2021578 45.7207011 1481.716
11.6492440 64.9348700 1507.737
5.7902776 24.8026485 1599.414
82.7875774 59.4499204 1592.806
74.1220887 2.9185357 1502.794
32.0810399 57.3191678 1507.491
19.2687937 -0.0460234 1525.650
24.6226843 23.3138199 1599.437
66.6141810 17.6189217 1577.792
35.0466244 5.9158673 1538.361
61.7549079 39.3237693 1528.888
89.1798913 57.3417052 1548.715
68.3177293 3.7032293 1525.710
30.9856599 101.5114146 1496.134
-5.1436744 21.6430878 1556.844
-6.5555396 62.7678419 1513.506
9.8439612 49.0257246 1556.732
31.3041346 79.5129649 1504.517
2.0242539 11.9979869 1539.037
84.7063420 13.1007343 1557.251
29.3631448 -8.1769586 1503.023
67.0596468 54.3304944 1524.949
93.6544835 20.8858303 1522.962
95.7701951 109.8266496 1501.593
20.8136802 9.6575482 1552.333
89.8029411 -3.7470808 1498.926
89.6190648 104.9048206 1507.858
18.5791090 94.9981342 1514.110
68.5679271 26.6114738 1588.468
-2.7874155 52.1470068 1542.644
45.4848944 -1.7112577 1523.542
55.9512635 7.8452460 1506.643
48.4728493 103.3569716 1502.020
15.6096432 72.9310911 1503.216
77.1553687 32.2952721 1586.116
101.7259463 90.9876603 1532.920
91.0791836 50.7894269 1493.142
68.2606661 82.4318992 1604.794
6.7598813 96.3158633 1492.373
107.6118367 -0.7938033 1497.330
36.7417797 67.2738524 1499.485
11.3383602 11.4739348 1546.386
56.3474607 61.0645675 1523.533
49.9432404 44.6066225 1512.207
12.7349585 100.0015666 1500.048
34.2485292 90.7136576 1509.930
-1.1026503 29.0980841 1590.837
88.5980615 23.1009244 1552.859
93.1525725 13.3031028 1534.580
92.8625568 90.9390584 1524.078
58.3477348 1.2338420 1519.394
50.7536376 95.3763274 1498.563
72.8735053 21.9861983 1617.793
89.6411641 69.1690246 1581.261
25.1111707 56.3215340 1496.755
1.5955143 86.9238931 1492.788
65.3676301 32.1324569 1570.713
61.0056921 5.5268771 1504.325
80.1208224 6.9373866 1519.488
13.9519384 -3.6889649 1519.616
91.4471487 90.8848947 1531.403
35.9693894 -0.9320418 1509.471
91.3207917 96.3104715 1513.320
51.3916477 43.7737725 1498.221
101.1608726 -2.4532839 1502.029
18.7078511 64.4911674 1508.166
50.1847349 97.4818228 1508.136
-6.5284906 65.4102213 1495.612
22.9682395 78.3188111 1504.898
-1.6257895 22.5323168 1557.789
37.6809647 86.0740078 1505.012
44.5150829 -8.0919361 1492.447
98.6483570 37.1308551 1508.043
-3.8899612 63.9407826 1510.358
76.6220504 50.6024568 1542.991
34.5582256 6.0812392 1536.248
61.5165984 100.7611068 1505.314
1.4280745 -4.7681216 1501.668
9.9571036 108.8500554 1515.744
58.1042503 53.5467778 1530.612
97.6922949 21.7455534 1522.981
57.5637215 17.2815492 1557.595
73.2940064 86.8986099 1636.235
42.2275999 108.1269370 1513.672
79.2007804 26.6891237 1589.146
25.0378917 -7.3017076 1501.583
104.9990713 30.7436422 1517.994
60.1676537 38.1424053 1528.900
28.1064449 103.5866842 1501.682
46.2679811 45.6117505 1503.142
0.1100654 80.1602309 1481.154
9.7661822 20.6649067 1583.420
15.3392095 8.7165088 1546.996
86.2068609 24.2161395 1568.255
95.9371390 87.4804205 1505.517
71.5423485 75.8261241 1665.263
85.0595993 1.4235339 1522.612
62.7279188 35.0926339 1524.308
0.3784555 84.3519681 1500.357
109.1100813 -6.7318973 1504.116
10.1067326 8.1089910 1523.197
14.6993165 74.4807939 1505.789
19.4556634 5.5710324 1528.607
53.8164148 40.7650830 1529.546
2.2608089 -5.2131376 1515.577
69.6403102 95.0177066 1558.416
9.2092220 49.7994056 1572.438
67.8009084 44.0925053 1514.321
84.3480678 103.9824313 1536.524
61.4812275 62.2715877 1520.285
31.4714729 -8.9967737 1488.522
48.6934323 10.0242483 1527.049
35.9006849 109.7142090 1502.821
93.0243156 -7.7038707 1499.589
82.1181352 29.1630460 1561.115
55.5579532 34.3340920 1528.703
50.3538442 61.4322998 1517.249
65.3020222 6.8285881 1509.494
81.8677705 72.0445888 1734.414
72.2282170 95.8624118 1550.477
97.0193113 15.6787341 1499.625
41.4619855 24.8536569 1563.564
55.1013032 98.4986717 1535.853
40.0393734 13.6109056 1530.488
-4.0411751 -4.9687549 1517.070
26.2773770 47.8202663 1556.910
81.9814880 66.8288662 1680.413
24.8396541 77.3473062 1506.856
78.8747559 -3.0755225 1484.717
26.6468710 67.3051887 1496.684
-1.6635758 91.2182948 1504.817
92.6802950 96.2200029 1513.405
-2.7809562 13.8046413 1512.486
39.1102889 2.5987683 1502.162
45.8712546 48.8523444 1499.620
89.2561780 20.1589514 1569.780
-7.0787753 73.4842318 1504.415
57.8336239 78.1569571 1525.848
74.3947873 94.5381534 1551.992
9.4485060 94.2673116 1496.655
38.3881533 55.6955801 1504.315
-6.6127293 40.7847500 1559.043
73.7611126 103.1028591 1527.117
17.9282801 5.0622493 1536.839
53.3900396 20.3366755 1574.441
45.4418399 73.3952099 1509.247
12.7222182 43.8270357 1616.504
77.6123913 64.6587233 1646.669
67.8873437 81.9926225 1582.662
37.6814209 38.7582247 1542.598
32.4833796 57.4068465 1516.853
10.6336045 41.3802584 1618.410
78.1553770 40.5129908 1527.939
103.1758267 75.3131802 1492.229
-0.0172123 93.9257011 1509.484
41.0459263 99.9712554 1523.821
109.0236550 96.4530513 1507.679
21.8874990 101.9317074 1497.830
81.7513145 -2.9231695 1500.372
99.3454042 88.8938747 1501.742
94.9134218 57.8260363 1527.223
84.0662564 91.0539421 1610.124
109.9569393 69.4030961 1505.429
7.6394863 83.2413842 1507.087
34.0495309 100.4868590 1486.270
28.4740328 -9.7608886 1504.520
88.9875232 -6.1349549 1504.028
43.4492684 23.5005026 1550.172
96.5806337 25.7377867 1543.924
21.5609224 86.1965763 1496.312
87.7217712 74.6415199 1643.099
15.9316886 7.5897939 1547.601
20.5556190 24.5636674 1609.879
80.5813421 4.1914909 1514.706
88.6072139 46.5673720 1496.160
20.1747839 102.8409574 1491.287
-5.0209855 56.1619027 1500.766
90.0875346 69.9890892 1577.988
27.6607426 23.9461600 1577.866
6.9553972 65.0182821 1516.048
34.1058517 92.7306515 1488.535
89.2058332 11.1390503 1520.170
61.5390024 90.9235002 1517.024
59.4918529 36.4783816 1538.244
31.9344792 16.2839703 1560.817
4.7098450 49.7922594 1562.877
53.3536919 -1.2171213 1496.778
42.9603342 100.3160730 1504.924
16.9773379 -9.3945445 1517.950
63.2456879 49.9425281 1524.966
6.0022059 100.6571232 1503.972
33.3386119 5.3754525 1514.375
97.9236387 94.2334175 1513.962
49.4804126 35.4222640 1526.181
52.8546455 27.6743391 1571.022
-5.0341750 68.9563156 1496.880
95.7745047 82.8733316 1502.377
82.7481690 107.2289593 1503.532
42.5722881 55.3928997 1514.392
51.5053520 -4.3927146 1483.801
54.6841293 86.4875838 1534.524
70.0131909 108.8814492 1511.883
76.0295058 29.9439572 1587.988
85.6484853 26.1797903 1551.291
97.6697392 59.9019719 1523.718
20.8957098 0.5052321 1519.248
88.4729862 66.2547608 1590.906
20.1538164 77.0560286 1511.153
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80.2698530 -8.4745485 1514.719
63.7084272 92.6554637 1534.721
5.0221692 5.5771130 1521.852
23.1965916 22.3894481 1595.744
107.4721211 61.1590065 1511.029
91.2873364 85.5051300 1557.369
35.2431964 29.0336821 1547.582
67.6516760 10.0403570 1512.336
88.2066043 14.8927116 1537.623
69.6267306 84.3787444 1594.476

Carte d’altitude

library(plotly)
library(sm)
longitude=seq(min(long),max(long),length=100)
latitude=seq(min(lat),max(lat),length=100)
RES=sm.regression(cbind(long,lat),alti,eval.points=cbind(longitude,latitude), eval.grid=TRUE,method='cv',display='none')$estimate
Est_altitude=matrix(RES,100,100)
DT=data.frame(longitude,latitude,Est_altitude)
plot_ly(DT,x=~latitude,y=~longitude,z = ~Est_altitude, type = "surface")

Profil alimentriquye de la randonnée

#%>%   layout(xaxis = list(autorange = "reversed"))
Altitude_estimee=sm.regression(cbind(long,lat),alti,eval.points=Position, eval.grid=FALSE,method='cv',display='none')$estimate
lo=Position[,1]
la=Position[,2]
DT2=data.frame(Time,lo,la,Altitude_estimee)
plot_ly(DT,x=~latitude,y=~longitude,z = ~Est_altitude, type = "surface")%>%
add_trace(x=~la,y=~lo,z = ~Altitude_estimee, type = "scatter3d")
plot_ly(DT2,x=~Time,y=~Altitude_estimee, type = 'scatter', mode = 'lines')
library(knitr)
library(kableExtra)
M=cbind(1:length(longitude),length(latitude),length(Altitude_estimee))
colnames(M)=c('long','latitude','alt')
kable(M,'html',striped=TRUE,caption='R?sultats obtenus',width='100%',height='10cm')%>%
  kable_styling()%>%
  scroll_box(width = "500%", height='20cm')
R?sultats obtenus
long latitude alt
1 100 190
2 100 190
3 100 190
4 100 190
5 100 190
6 100 190
7 100 190
8 100 190
9 100 190
10 100 190
11 100 190
12 100 190
13 100 190
14 100 190
15 100 190
16 100 190
17 100 190
18 100 190
19 100 190
20 100 190
21 100 190
22 100 190
23 100 190
24 100 190
25 100 190
26 100 190
27 100 190
28 100 190
29 100 190
30 100 190
31 100 190
32 100 190
33 100 190
34 100 190
35 100 190
36 100 190
37 100 190
38 100 190
39 100 190
40 100 190
41 100 190
42 100 190
43 100 190
44 100 190
45 100 190
46 100 190
47 100 190
48 100 190
49 100 190
50 100 190
51 100 190
52 100 190
53 100 190
54 100 190
55 100 190
56 100 190
57 100 190
58 100 190
59 100 190
60 100 190
61 100 190
62 100 190
63 100 190
64 100 190
65 100 190
66 100 190
67 100 190
68 100 190
69 100 190
70 100 190
71 100 190
72 100 190
73 100 190
74 100 190
75 100 190
76 100 190
77 100 190
78 100 190
79 100 190
80 100 190
81 100 190
82 100 190
83 100 190
84 100 190
85 100 190
86 100 190
87 100 190
88 100 190
89 100 190
90 100 190
91 100 190
92 100 190
93 100 190
94 100 190
95 100 190
96 100 190
97 100 190
98 100 190
99 100 190
100 100 190 
#plot_ly(DT2,x=~la,y=~lo,z = ~RES, type = "scatter3d",trace='add')
#%>%   layout(xaxis = list(autorange = "reversed"))