{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,5]],"date-time":"2026-02-05T06:52:26Z","timestamp":1770274346315,"version":"3.49.0"},"reference-count":26,"publisher":"Springer Science and Business Media LLC","issue":"6","license":[{"start":{"date-parts":[[1992,10,1]],"date-time":"1992-10-01T00:00:00Z","timestamp":717897600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Biol. Cybern."],"published-print":{"date-parts":[[1992,10]]},"DOI":"10.1007\/bf00198755","type":"journal-article","created":{"date-parts":[[2004,8,29]],"date-time":"2004-08-29T04:36:07Z","timestamp":1093754167000},"page":"479-489","source":"Crossref","is-referenced-by-count":105,"title":["From basis functions to basis fields: vector field approximation from sparse data"],"prefix":"10.1007","volume":"67","author":[{"given":"Ferdinando A.","family":"Mussa-Ivaldi","sequence":"first","affiliation":[]}],"member":"297","reference":[{"key":"BF00198755_CR1","doi-asserted-by":"crossref","first-page":"741","DOI":"10.1101\/SQB.1990.055.01.069","volume":"55","author":"RA Andersen","year":"1990","unstructured":"Andersen RA, Snowden RJ, Treue S, Graziano M (1990) Hierarchical processing of motion in the visual cortex of monkey. Cold Spring Harbor Symp Quant Biol The Brain 55:741\u2013748","journal-title":"Cold Spring Harbor Symp Quant Biol The Brain"},{"key":"BF00198755_CR2","doi-asserted-by":"crossref","first-page":"287","DOI":"10.1126\/science.1857964","volume":"253","author":"E Bizzi","year":"1991","unstructured":"Bizzi E, Mussa-Ivaldi FA, Giszter SF (1991) Computations underlying the execution of movement: A biological perspective. Science 253:287\u2013291","journal-title":"Science"},{"key":"BF00198755_CR3","doi-asserted-by":"crossref","first-page":"1688","DOI":"10.1523\/JNEUROSCI.05-07-01688.1985","volume":"5","author":"T Flash","year":"1985","unstructured":"Flash T, Hogan N (1985) The coordination of arm movements: An experimentally confirmed mathematical model. J Neurosci 5:1688\u20131703","journal-title":"J Neurosci"},{"key":"BF00198755_CR4","volume-title":"The perception of the visual world","author":"JJ Gibson","year":"1950","unstructured":"Gibson JJ (1950) The perception of the visual world. Houghton-Mifflin, Boston"},{"key":"BF00198755_CR5","doi-asserted-by":"crossref","first-page":"169","DOI":"10.1007\/BF00195855","volume":"63","author":"F Girosi","year":"1990","unstructured":"Girosi F, Poggio T (1990) Networks and the best approximation property. Biol Cybern 63:169\u2013176","journal-title":"Biol Cybern"},{"key":"BF00198755_CR6","doi-asserted-by":"crossref","first-page":"315","DOI":"10.1007\/BF00355754","volume":"52","author":"N Hogan","year":"1985","unstructured":"Hogan N (1985) The mechanics of multi-joint posture and movement control. Biol Cybern 52:315\u2013331","journal-title":"Biol Cybern"},{"key":"BF00198755_CR7","doi-asserted-by":"crossref","first-page":"2554","DOI":"10.1073\/pnas.79.8.2554","volume":"79","author":"JJ Hopfield","year":"1982","unstructured":"Hopfield JJ (1982) Neural networks and physical systems with emergent collective computational abilities. Proc Nat Acad Sci USA 79:2554\u20132558","journal-title":"Proc Nat Acad Sci USA"},{"key":"BF00198755_CR8","volume-title":"Robot vision","author":"BKP Horn","year":"1986","unstructured":"Horn BKP (1986) Robot vision. MIT Press, Cambridge"},{"key":"BF00198755_CR9","volume-title":"Foundations of potential theory","author":"OD Kellogg","year":"1953","unstructured":"Kellogg OD (1953) Foundations of potential theory. Dover, New York"},{"key":"BF00198755_CR10","volume-title":"The absolute differential calculus. (Calculus of tensors)","author":"T Levi-Civita","year":"1977","unstructured":"Levi-Civita T (1977) The absolute differential calculus. (Calculus of tensors). Dover, New York (First English Edition, Blackie and Son, Glasgow 1926)"},{"key":"BF00198755_CR11","doi-asserted-by":"crossref","first-page":"11","DOI":"10.1007\/BF01893414","volume":"2","author":"CA Micchelli","year":"1986","unstructured":"Micchelli CA (1986) Interpolation of scattered data: Distance matrices and conditionally positive definite functions. Constructive Approx 2:11\u201322","journal-title":"Constructive Approx"},{"key":"BF00198755_CR12","doi-asserted-by":"crossref","first-page":"491","DOI":"10.1007\/BF00198756","volume":"67","author":"FA Mussa-Ivaldi","year":"1992","unstructured":"Mussa-Ivaldi FA, Giszter SF (1992) Vector field approximation: A computational paradigm for motor control and learning. Biol Cybern 67:491\u2013500","journal-title":"Biol Cybern"},{"key":"BF00198755_CR13","doi-asserted-by":"crossref","first-page":"2732","DOI":"10.1523\/JNEUROSCI.05-10-02732.1985","volume":"5","author":"F Mussa-Ivaldi","year":"1985","unstructured":"Mussa-Ivaldi F, Hogan N, Bizzi E (1985) Neural, mechanical and geometrical factors subserving arm posture in humans. J Neurosci 5:2732\u20132743","journal-title":"J Neurosci"},{"key":"BF00198755_CR14","doi-asserted-by":"crossref","first-page":"899","DOI":"10.1101\/SQB.1990.055.01.084","volume":"55","author":"T Poggio","year":"1990","unstructured":"Poggio T (1990) A theory of how the brain might work. Cold Spring Harbor Symp Quant Biol The Brain 55:899\u2013910","journal-title":"Cold Spring Harbor Symp Quant Biol The Brain"},{"key":"BF00198755_CR15","doi-asserted-by":"crossref","first-page":"1481","DOI":"10.1109\/5.58326","volume":"78","author":"T Poggio","year":"1990a","unstructured":"Poggio T, Girosi F (1990a) Networks for approximation and learning. Proc. IEEE 78:1481\u20131497","journal-title":"Proc. IEEE"},{"key":"BF00198755_CR16","doi-asserted-by":"crossref","first-page":"978","DOI":"10.1126\/science.247.4945.978","volume":"247","author":"T Poggio","year":"1990b","unstructured":"Poggio T, Girosi F (1990b) A theory of networks for learning. Science 247:978\u2013982","journal-title":"Science"},{"key":"BF00198755_CR17","doi-asserted-by":"crossref","first-page":"314","DOI":"10.1038\/317314a0","volume":"317","author":"T Poggio","year":"1985","unstructured":"Poggio T, Torre V, Koch C (1985) Computational vision and regularization theory. Nature 317:314\u2013319","journal-title":"Nature"},{"key":"BF00198755_CR18","volume-title":"Algorithms for approximation","author":"MJD Powell","year":"1987","unstructured":"Powell MJD (1987) Radial basis functions for multivariable interpolation: a review. In: Mason JC, Cox MG (eds) Algorithms for approximation. Clarendon Press, Oxford"},{"key":"BF00198755_CR19","volume-title":"The approximation of functions","author":"JR Rice","year":"1964","unstructured":"Rice JR (1964) The approximation of functions. Addison-Wesley, Reading"},{"key":"BF00198755_CR20","doi-asserted-by":"crossref","DOI":"10.7551\/mitpress\/5236.001.0001","volume-title":"Parallel distributed processing. Explorations in the microstructure of cognition","author":"DE Rumelhard","year":"1986","unstructured":"Rumelhard DE, McLelland JL, the PDP Research Group (1986) Parallel distributed processing. Explorations in the microstructure of cognition, MIT Press, Cambridge"},{"key":"BF00198755_CR21","doi-asserted-by":"crossref","first-page":"145","DOI":"10.1523\/JNEUROSCI.06-01-00145.1986","volume":"6","author":"H Saito","year":"1986","unstructured":"Saito H, Yukio M, Tanaka K, Hikosaka K, Fukada Y, Iwai E (1986) Integration of direction signals of image motion in the superior temporal sulcus of the macaque monkey. J Neurosci 6:145\u2013157","journal-title":"J Neurosci"},{"key":"BF00198755_CR22","doi-asserted-by":"crossref","unstructured":"Shadmehr R, Muss-Ivaldi FA, Bizzi E (1992) Postural force fields of the human arm and their role in generating multi-joint movements. J Neurosci (in press)","DOI":"10.1523\/JNEUROSCI.13-01-00045.1993"},{"key":"BF00198755_CR23","volume-title":"Calculus on manifolds","author":"M Spivak","year":"1965","unstructured":"Spivak M (1965) Calculus on manifolds. Benjamin\/Cummings Publishing Co., Menlo Park"},{"key":"BF00198755_CR24","doi-asserted-by":"crossref","first-page":"642","DOI":"10.1152\/jn.1989.62.3.642","volume":"62","author":"K Tanaka","year":"1989","unstructured":"Tanaka K, Fukada Y, Saito H (1989) Underlying mechanisms of the reponse specificity of the expansion\/contraction and rotation cells in the dorsal part of the medial superior temporal area of the macaque monkey. J Neurophysiol 62:642\u2013656","journal-title":"J Neurophysiol"},{"key":"BF00198755_CR25","volume-title":"Solutions of ill-posed problems","author":"AN Tikhonov","year":"1977","unstructured":"Tikhonov AN, Arsenin VY (1977) Solutions of ill-posed problems. W. H. Winston, Washington"},{"key":"BF00198755_CR26","doi-asserted-by":"crossref","first-page":"407","DOI":"10.1007\/978-3-0348-7189-1_32","volume-title":"Multivariate approximation theory","author":"G Wahba","year":"1982","unstructured":"Wahba G (1982) Vector splines on the sphere, with application to the estimation of vorticity and divergence from discrete noisy data. In: Schempp W, Zeller K (eds) Multivariate approximation theory, Birkhauser Verlag, Basel Boston Stuttgart, pp 407\u2013429"}],"container-title":["Biological Cybernetics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF00198755.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF00198755\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF00198755","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,4,3]],"date-time":"2020-04-03T02:13:46Z","timestamp":1585880026000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF00198755"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1992,10]]},"references-count":26,"journal-issue":{"issue":"6","published-print":{"date-parts":[[1992,10]]}},"alternative-id":["BF00198755"],"URL":"https:\/\/doi.org\/10.1007\/bf00198755","relation":{},"ISSN":["0340-1200","1432-0770"],"issn-type":[{"value":"0340-1200","type":"print"},{"value":"1432-0770","type":"electronic"}],"subject":[],"published":{"date-parts":[[1992,10]]}}}