Principal Warps: Thin-Plate Splines and the Decomposition of Deformations

The decomposition of deformations by principal warps is demonstrated. The method is extended to deal with curving edges between landmarks. This formulation is related to other applications of splines current in computer vision. How they might aid in the extraction of features for analysis, comparison, and diagnosis of biological and medical images in indicated. >

[1]  Jean Duchon,et al.  Interpolation des fonctions de deux variables suivant le principe de la flexion des plaques minces , 1976 .

[2]  F. Bookstein,et al.  The Measurement of Biological Shape and Shape Change. , 1980 .

[3]  J. Meinguet.  Multivariate interpolation at arbitrary points made simple , 1979 .

[4]  J. Meinguet.  An Intrinsic Approach to Multivariate Spline Interpolation at Arbitrary Points , 1979 .

[5]  C. Broit.  Optimal registration of deformed images , 1981 .

[6]  R. Franke.  Scattered data interpolation: tests of some methods , 1982 .

[7]  R. Bajcsy,et al.  A computerized system for the elastic matching of deformed radiographic images to idealized atlas images. , 1983, Journal of computer assisted tomography.

[8]  Demetri Terzopoulos,et al.  Multilevel computational processes for visual surface reconstruction , 1983, Comput. Vis. Graph. Image Process..

[9]  J. Meinguet.  Surface Spline Interpolation: Basic Theory and Computational Aspects , 1984 .

[10]  F. Bookstein,et al.  Morphometrics in Evolutionary Biology: The Geometry of Size and Shape Change, With Examples from Fishes , 1985 .

[11]  Demetri Terzopoulos,et al.  Regularization of Inverse Visual Problems Involving Discontinuities , 1986, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[12]  F. Bookstein.  Size and Shape Spaces for Landmark Data in Two Dimensions , 1986 .

[13]  John Fitzpatrick,et al.  A class of one-to-one two-dimensional transformations , 1987 .

[14]  F. Bookstein.  E. Morphometrics for Functional Imaging Studies , 1987 .

[15]  R. Bajcsy,et al.  Three dimensional object representation revisited , 1987 .

[16]  F. Bookstein.  Toward a Notion of Feature Extraction for Plane Mappings , 1988 .

[17]  F. Bookstein.  [A Survey of the Statistical Theory of Shape]: Comment , 1989 .

[18]  D. Kendall.  A Survey of the Statistical Theory of Shape , 1989 .