152ZFG Základy fyzikální geodézie - úloha3

Zadání úlohy

Pomocí osmi identických bodů se zadanými prostorovými souřadnicemi v kartézských souřadnicových systémech S1 a S2 vypočítejte transformační klíč Helmertovy prostorové transformace a body transformujte ze systému S1 do systému S2. Vypočítejte aposteriorní charakteristiky přesnosti plynoucí ze zavedení podmínky MNČ.

Numerické zadání úlohy

číslo zadání	bod	x [m]	y [m]	z [m]	číslo zadání	bod	x [m]	y [m]	z [m]	číslo zadání	bod	x [m]	y [m]	z [m]
1			50	15	48.170	16	6	48.457	97	33	4.142	626011.79
2	50	19	5.803	13	50	33.605	42	55	8.140	543061.09
3	49	57	30.040	14	30	16.079	74	49	58.168	491271.78
4	48	20	31.749	15	50	53.515	292	52	55.508	696671.13
5	50	50	55.077	12	0	25.884	102	5	47.791	503751.05
6	48	2	43.092	13	13	43.590	115	11	13.571	703251.93
7	48	49	49.444	17	8	16.782	79	36	17.654	450491.06
8	51	51	11.037	14	32	1.654	128	36	34.240	463451.84
9	49	29	10.746	17	29	53.632	88	17	58.785	687051.11
10	51	19	6.991	15	20	39.106	297	9	13.774	540311.35
11	49	7	19.135	16	34	9.554	295	58	1.912	686301.78
12	50	43	47.608	15	47	10.571	91	14	41.486	608461.14
13	51	23	12.099	16	17	33.924	260	6	34.090	437141.26
14	48	0	4.501	14	51	56.790	93	53	19.194	481971.60
15	51	30	12.964	15	28	37.709	51	5	57.285	422931.66
16	50	18	19.974	12	44	3.888	223	27	39.555	515531.45
17	48	55	47.375	15	14	1.550	263	32	35.476	661231.19
18	51	10	60.776	14	5	17.013	24	19	41.829	631681.56
19	50	14	20.100	14	24	42.260	43	52	45.185	432651.28
20	49	56	4.964	17	22	43.362	79	27	24.425	666951.10
21	50	35	11.039	13	12	36.662	241	1	5.190	491061.65
22	49	45	13.081	17	16	3.243	283	49	25.106	634241.85
23	49	39	55.844	13	57	10.843	2	6	9.582	535911.28
24	50	33	51.574	17	25	40.071	168	27	22.508	645351.35
25	50	3	16.811	16	52	42.352	113	44	50.633	619831.91
26	49	16	54.154	15	5	12.602	293	10	52.530	401491.69
27	48	46	57.076	14	19	15.032	3	32	49.120	583161.57
28	48	17	13.990	16	49	29.635	68	43	3.039	617241.07
29	50	34	40.068	17	48	8.484	282	42	40.157	618071.60
30	48	7	42.443	15	50	36.424	215	22	59.583	715251.30
31	48	14	41.409	12	31	38.685	124	20	1.406	658301.79
32	49	31	34.104	17	49	53.206	0	56	15.799	727601.85
33	51	30	43.138	17	35	24.391	242	50	18.699	714121.81
34	51	26	43.735	13	42	29.460	79	15	55.425	430511.68
35	48	53	16.986	13	57	22.528	281	42	36.254	504001.33
36	51	37	12.657	12	46	36.338	292	40	17.549	699181.01
37	50	6	44.285	12	47	32.129	77	58	4.074	502571.56
38	50	30	37.118	12	10	14.030	205	32	29.596	437001.55
39	49	33	32.828	12	24	4.085	152	49	58.624	462491.83
40	48	36	35.705	12	0	31.175	216	59	52.398	619731.37
41	49	21	12.198	17	8	42.367	96	36	53.429	479041.69
42	48	53	6.731	16	20	25.862	183	54	52.598	616661.40
43	51	52	24.128	17	18	55.520	20	13	44.127	655071.40
44	48	10	36.574	16	15	14.513	42	47	25.819	623291.67
45	50	2	55.470	17	20	19.369	152	0	24.562	502851.98
46	48	40	29.685	17	45	43.826	10	22	51.331	610361.35
47	49	9	57.177	12	27	43.765	272	4	1.093	694141.67
48	51	30	29.602	13	49	49.335	137	45	30.444	448601.42
49	48	40	9.507	12	3	27.772	7	36	32.571	430671.04
50	48	7	57.240	14	57	5.203	182	18	6.562	461701.12
51	51	14	40.465	16	25	52.947	95	40	5.798	583001.99
52	49	45	6.890	17	28	36.212	238	32	10.263	512951.13
53	51	21	8.136	13	15	1.294	171	55	25.830	627161.54
54	50	17	54.683	12	48	43.606	219	57	27.016	482661.80
55	48	12	45.955	14	4	38.842	259	49	31.187	509811.05
56	49	1	3.703	14	3	12.192	283	44	28.156	569561.76
57	50	45	34.540	13	20	57.175	228	3	37.062	714511.39
58	49	51	17.466	15	8	39.213	52	10	25.410	668641.43
59	48	19	43.377	14	33	48.899	53	1	57.830	518591.62
60	51	20	23.111	12	2	40.622	203	13	48.283	535651.28
61	49	35	18.752	16	31	35.372	169	4	29.970	492681.94
62	51	0	50.739	12	44	21.109	142	34	43.365	645921.62
63	49	57	39.301	15	49	32.647	278	58	26.074	712771.44
64	48	35	1.347	14	36	13.765	278	46	6.729	542441.93
65	51	5	52.555	14	9	48.587	172	14	19.107	409201.72
66	51	5	11.379	16	57	6.480	92	5	31.936	479401.44
67	48	58	9.482	14	21	3.676	85	40	60.650	680461.93
68	48	17	6.712	12	34	4.049	126	59	60.633	534431.43
69	51	6	44.632	14	26	54.965	29	17	21.400	595321.86
70	50	4	40.552	16	18	55.611	154	32	1.709	702021.96
71	50	47	39.658	16	33	32.709	190	30	6.783	435251.56
72	48	12	60.825	16	16	10.105	83	0	59.015	401311.48
73	49	58	58.884	13	28	7.373	50	58	60.907	434641.79
74	48	34	55.399	13	7	9.503	168	46	35.926	582931.31
75	50	1	19.623	14	35	60.304	299	24	25.997	578771.25
76	48	49	27.105	17	41	40.976	177	22	15.869	642241.19
77	49	10	41.851	12	44	28.156	214	46	12.300	630341.82
78	49	11	39.949	13	3	5.138	230	29	21.677	532581.60
79	51	21	56.685	16	15	44.584	154	33	55.180	701961.60
80	51	6	33.667	16	58	31.814	270	13	37.112	613531.53
81	48	18	50.914	12	6	44.143	35	13	37.811	561951.21
82	51	7	44.912	14	16	11.212	52	52	1.377	452821.14
83	49	44	54.156	17	44	4.595	84	8	3.282	612621.83
84	48	41	45.316	14	53	3.047	1	8	43.938	585621.98
85	48	13	24.372	17	3	17.429	138	57	18.216	434471.67
86	49	37	39.637	12	3	1.597	254	52	6.085	585561.58
87	51	11	1.312	14	11	41.068	102	0	53.565	456971.02
88	49	33	41.701	13	4	22.801	130	30	16.887	400361.26
89	51	21	56.375	17	21	47.972	44	46	20.901	683201.15
90	48	38	12.634	15	51	7.260	55	37	27.778	600101.47
91	48	14	49.003	13	25	49.896	21	51	53.803	718401.96
92	49	6	34.044	15	58	20.425	193	53	38.930	626811.22
93	48	10	56.494	17	11	42.562	209	23	13.497	600251.48
94	48	13	14.492	17	14	27.223	215	48	27.091	523691.96
95	49	46	45.336	15	56	49.323	73	24	46.652	454901.57
96	49	39	37.338	16	18	42.636	234	55	6.496	645151.15
97	48	34	21.703	16	16	35.918	68	51	43.749	442771.03
98	49	30	32.591	14	4	40.304	163	6	21.478	566201.91
99	51	49	5.712	12	26	44.146	15	47	33.573	656501.33
100	48	25	22.412	12	57	13.240	41	4	49.674	539721.92
101	49	52	31.213	12	47	48.079	226	43	44.736	469041.50
102	48	41	56.147	15	1	45.868	154	34	59.383	494161.82