I have a list of points of a curve in a three dimensional space, like
myData =
{{1.6251942652167208, 3414.632234882431, 3.248326448352207},
{0.195563463104691, 32.18966154343482, 1.1454060351007385},
{0.17904199044243319, 14.25108939238815, 0.9423477799753123},
{0.170816821901991, 8.653164633472851, 0.7958880823665402},
{0.15676037756308206, 5.631156542779637, 0.67467521725227},
{0.1548948722263085, 4.270874169070245, 0.6275611866853114},
{0.1876950201556172, 4.308999312640106, 0.6090637255823652},
{0.16188251254916763, 2.9764924022024317, 0.5292892925723116},
{0.17262610022897934, 2.739111371641244, 0.52653513586836},
{0.16954431585785373, 2.3070638999549393, 0.49560804724631763},
{0.2097961985882085, 2.6534757543854317, 0.5487657657669014},
{0.19081633352127408, 2.0852454796400357, 0.514435548916157},
{0.19563129613920563, 1.917093872159669, 0.4743406166681895},
{0.21254024573386504, 1.9251337728677473, 0.485236735240245},
{0.21896472970440534, 1.8147535334973488, 0.46531629302089494},
{0.20466136180653818, 1.513876366963674, 0.4249037110237554},
{0.21855394267841366, 1.519108716384235, 0.4380750296933395},
{0.23565318703002316, 1.5488572100526539, 0.44631964709969185},
{0.2380818528018018, 1.4529671243699986, 0.42553379428103266},
{0.2424842011874948, 1.389721482236748, 0.4345346021692877},
{0.2647317878191315, 1.4605691656957687, 0.43267419256049483},
{0.2632502748033041, 1.3557447019366855, 0.4286184053606104},
{0.27205729604073775, 1.334394688581283, 0.44259414855715523},
{0.2793705082711959, 1.302387809445032, 0.4336404208867536},
{0.2837573939406187, 1.2544604741697558, 0.42970441420505734},
{0.2948407139307023, 1.251503834903687, 0.4289108411034688},
{0.29600086351343347, 1.1920618765471473, 0.42889878404407833},
{0.29465197778349606, 1.1243426155800962, 0.4276172983591667},
{0.30183374846249794, 1.1064964396078605, 0.42772557494175767},
{0.30918455260251276, 1.0893160114201885, 0.4275101914583863},
{0.3170183678910846, 1.0761991260380923, 0.4251450946217794},
{0.3170471652361686, 1.028070998453355, 0.4231589533788725},
{0.33509119696542056, 1.062744456154385, 0.4233345521815623},
{0.32971337187673616, 0.9954325606304446, 0.4231326015290622},
{0.33595705730728015, 0.979557033300735, 0.4236769992893109},
{0.3436253098086924, 0.9714372846864234, 0.4241910609852374},
{0.34812463781047914, 0.949934939902976, 0.42012852465803996},
{0.3563732253707738, 0.9443465112229241, 0.4204752685781463},
{0.35992684291158533, 0.9221331266260643, 0.41804460944990646},
{0.36120796960334306, 0.893126929139083, 0.41819781912012344},
{0.3694695389695183, 0.8578713443146384, 0.4150160053145223},
{0.37334083248099226, 0.8414330588993054, 0.4145221485938744},
{0.3766063600562105, 0.8812611721272469, 0.45266007028291844},
{0.3835672074215254, 0.8426364383173903, 0.44224264257818485},
{0.3925576360242645, 0.8145071347303069, 0.441619765516166},
{0.3952083972535039, 0.7698172682169502, 0.4289584794098478},
{0.40767794715674194, 0.7561905560105875, 0.42830082380993906},
{0.4139609495348973, 0.7284690866030674, 0.42802517746189234},
{0.4199909107710205, 0.7017646393366863, 0.4245332938666336},
{0.42517695763043706, 0.6756040929172838, 0.41901542028878747},
{0.438909457948436, 0.6699655678281783, 0.41733783818556264},
{0.44563579799220726, 0.6499029238980055, 0.4129281969548992},
{0.4473498530318954, 0.6211332659501384, 0.4089614451608291},
{0.45464041389498117, 0.6051969313774956, 0.4050849964713832},
{0.46156953220721025, 0.5899702211293141, 0.4029806473833252},
{0.47141055300556484, 0.5805373200701324, 0.39970427922756985},
{0.4792326437523886, 0.5681016242905145, 0.39694835543120627},
{0.4853330654106727, 0.553725319161017, 0.393182829103135},
{0.49135512137375686, 0.5399417830238199, 0.3901371989617769},
{0.5006324150392757, 0.5320562690230357, 0.3875692692973447},
{0.5064951595246885, 0.5194105475320817, 0.3832282043244645},
{0.5115547319598217, 0.5062662671288428, 0.3811347260859499},
{0.51504804958564, 0.4917529304140576, 0.3775795425712839},
{0.5220718511737211, 0.48266019418477496, 0.37470445520090895},
{0.5312779766503062, 0.47705149397591645, 0.37098468508988963},
{0.5324554882538403, 0.4612891859386048, 0.36767364179185347},
{0.5377840374755473, 0.451700594900957, 0.3651018926671713},
{0.5450134070805016, 0.44432218995571343, 0.3621032659850748},
{0.5532192176564933, 0.438742917967833, 0.35988610407498006},
{0.5559200803701375, 0.4272035754877022, 0.3562923772639558},
{0.5632612273324766, 0.42125311233985596, 0.35442749937954365},
{0.5695771900612702, 0.4143325143071145, 0.35207878660073166}}
I want to find and plot a find of this curve in the space.
I don't have a explicit form of the real function, but I know that it is regular enough to allow a polynomial expansion in the interval of interest.
Is this possible?