On Mar 17, 2012, at 9:45 AM, phi771 wrote:
> Hello!
>
> I have a problem creating a fitting plane through my 3d-data set.
> here is a
> sample how my set looks like (x,y,z (with z increasing)):
>
>> dataset
> [,1] [,2] [,3]
> [1,] -1.3712 -3.1551 10
> [2,] -1.2690 -3.0751 10
> [3,] -1.1216 -2.9768 10
> [4,] -0.9875 -2.8987 10
> [5,] -0.4021 -2.7542 10
> [6,] 0.0048 -2.6568 10
> [7,] 0.1642 -2.6071 10
> [8,] 0.0720 -2.5816 10
> [9,] -0.2961 -2.5552 10
> [10,] -0.7770 -2.5118 10
> [11,] -1.0970 -2.4508 10
> [12,] -1.2456 -2.3786 10
> [13,] -1.4179 -2.3276 10
> [14,] -1.7759 -2.2667 10
> [15,] -2.2801 -3.4330 11
> [16,] -2.0254 -3.3232 11
> [17,] -1.8960 -3.2282 11
> [18,] -1.7148 -3.1101 11
> [19,] -1.5559 -3.0150 11
> [20,] -0.8677 -2.8460 11
> [21,] -0.3568 -2.7250 11
> [22,] -0.1721 -2.6692 11
> [23,] -0.2951 -2.6373 11
> [24,] -0.7103 -2.5965 11
> [25,] -1.3342 -2.5458 11
> [26,] -1.6955 -2.4662 11
> [27,] -1.8697 -2.3821 11
> [28,] -2.0863 -2.3138 11
> [29,] -2.4981 -2.2376 11
> [30,] -3.0639 -3.6329 12
> [31,] -2.7939 -3.5062 12
> [32,] -2.5782 -3.3798 12
> [33,] -2.3708 -3.2439 12
> [34,] -2.1916 -3.1285 12
> [35,] -1.3914 -2.9368 12
> [36,] -0.7883 -2.7911 12
> [37,] -0.5625 -2.7263 12
> [38,] -0.6858 -2.6882 12
> [39,] -1.2123 -2.6343 12
> [40,] -1.9606 -2.5708 12
> [41,] -2.3586 -2.4765 12
> [42,] -2.5972 -2.3738 12
> [43,] -2.7832 -2.2905 12
> [44,] -3.3004 -2.1983 12
> [45,] -3.8862 -3.8286 13
> [46,] -3.5691 -3.6789 13
> [47,] -3.3333 -3.5338 13
> [48,] -3.0851 -3.3760 13
> [49,] -2.8812 -3.2451 13
> [50,] -1.9070 -3.0168 13
> [51,] -1.2529 -2.8556 13
> [52,] -0.9685 -2.7769 13
> [53,] -1.1275 -2.7322 13
> [54,] -1.7272 -2.6625 13
> [55,] -2.5896 -2.5866 13
> [56,] -3.0374 -2.4728 13
> [57,] -3.3758 -2.3541 13
> [58,] -3.5959 -2.2514 13
> [59,] -4.1466 -2.1419 13
> [60,] -4.8565 -4.0770 14
> [61,] -4.5154 -3.9081 14
> [62,] -4.1926 -3.7312 14
> [63,] -3.8720 -3.5449 14
> [64,] -3.6627 -3.3992 14
> [65,] -2.5851 -3.1462 14
> [66,] -1.7868 -2.9548 14
> [67,] -1.4638 -2.8651 14
> [68,] -1.6493 -2.8082 14
> [69,] -2.3455 -2.7232 14
> [70,] -3.3572 -2.6257 14
> [71,] -3.8678 -2.4903 14
> [72,] -4.1988 -2.3545 14
> [73,] -4.5039 -2.2328 14
> [74,] -5.0707 -2.1091 14
>
> i want to have an analytical expression of a plane, which is smooth
> and
> connects all data points.
I see that collection of requirements as being mutually exclusive for
every case except the degenerate case where all points are on the
plane. Is this homework? What are the requirements if this is a real
problem?
Answers might involve one or more of these functions:
?lm
?persp
?lattice::wireframe
?rgl::plot3d
?car::scatter3d
--
David Winsemius, MD
West Hartford, CT