[Insight-users] Number of parameters increases (BSplineDeformable transform)

[motes motes]

I am using the example data, the file with 128 parameter values, from the
ITK library to deform an image:

    0   0       0   0       0   0        0   0       0   0        0
0       0   0      0   0
    0   0       0   0       0   0        0   0       0   0        0
0       0   0      0   0
    0   0       0   0       2   2        5   5       2   2        0
0       0   0      0   0
    0   0       0   0       5   5       10  170       5   5        0
0       0   0      0   0
    0   0       0   0       2   2        5   5       2   2        0
0       0   0      0   0
    0   0       0   0       0   0        0   0       0   0        0
0       0   0      0   0
    0   0       0   0       0   0        0   0       0   0        0
0       0   0      0   0
    0   0       0   0       0   0        0   0       0   0        0
0       0   0      0   0

When the registration method returns the final parameters are:


[-0.00231844, -0.02326, 0.0484723, 0.0782189, 0.0917853, 0.119546,
-0.00335514, -0.217619, -0.107065, 0, -0.0329693, -0.148395, 0.104663,
-0.550282, -1.26802, -0.705694, 0.0873308, -0.309962, -0.802861, 0,
0.063379, 0.398289, -1.44105, -1.53938, -1.7608, -1.38484, -0.711425,
-1.10221, -1.59358, 0, 0.298058, -0.564321, -1.91097, -3.58063, -6.30183,
-4.78945, -1.61198, -0.70215, -0.954023, 0, 0.54965, -0.57544, -2.33652,
-6.10376, -4.54323, -4.77601, -4.48725, -0.489267, -0.570523, 0, 0.668925,
-0.46068, -2.42157, -4.74326, -12.8757, -6.57763, -1.16318, -3.09268,
-0.411637, 0, 0.0390142, -0.273687, -0.624816, -1.51086, -2.18197, -1.86934,
0.297622, -1.07632, -0.0820767, 0, 0.0166208, -0.543326, 0.543721, -1.87936,
1.06337, 0.0752932, -0.0704278, -0.307334, -0.99684, 0, 0.00486263,
-0.12788, -0.25644, -0.491107, 0.201335, -1.09141, -0.694021, -0.24188,
-0.212387, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -0.000112593, 0.0110926,
0.0167261, -0.049946, -0.0783788, -0.0384529, 0.0407556, -0.154947,
-0.0463077, 0, -0.0182507, 0.00359299, 0.00784705, 0.270986, 1.90373,
0.0225429, -0.684401, -0.250102, 0.0345052, 0, -0.0636621, -0.364021,
-1.0357, -2.70395, -4.77634, -0.987079, -0.837127, 1.46826, 0.682614, 0,
-0.0313031, -0.717254, -0.545265, -17.2006, -31.0422, -20.0047, -2.02679,
-1.18301, 0.0228328, 0, -0.0125886, -4.34123, 0.0787134, -45.9453, -66.6283,
-50.7082, 1.52779, -1.68643, -0.339206, 0, 0.65181, -8.32657, 6.24457,
-37.9488, -110.562, -54.1226, 3.39012, -0.0921196, 0.12512, 0, 1.67071,
0.694154, -3.71556, 9.19359, -8.64445, 14.5316, -1.12059, -0.852576,
0.59615, 0, 0.001542, -0.94513, -0.844656, -6.95102, 1.63441, -5.0893,
-3.16847, 1.19829, 0.0257344, 0, -0.186464, -1.54877, 0.321253, 0.403886,
-0.983199, -1.91005, -0.53617, -0.353148, -0.0942512, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0]

That array contains 200 values. Why are there 200-128 = 72 more parameters
in the final transform array?

I would like to use the final parameters array to transform the moving image
into the fixed image space in another application, but would like to know
why there are suddenly more parameters?
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