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On the Bijectivity of Thin-plate Splines

In English

Författare

Summary, in English

The thin-plate spline (TPS) has been widely used in a number of areas such as image warping, shape analysis and scattered data interpolation. Introduced by Bookstein[1], it is a natural interpolating function in two dimensions, parameterized by a finite numb er of landmarks. However, even though the thin-plate spline has a very elegant intuitive interpretation as well as mathematical formulation it has no inherent restriction to prevent folding, i.e.
a non-bijective interpolating function. In this paper we discuss some of the properties of the set of parameterizations that form bijective thin-plate
splines, such as convexity and boundness. Methods for finding sufficient as well as necessary conditions for bijectivity are also presented.

Avdelning/ar

Publiceringsår

2005

Språk

Engelska

Dokumenttyp

Konferensbidrag

Ämne

  • Mathematics

Conference name

Swedish Symposium on Image Analysis (SSBA) 2005

Conference date

2005-03-10 - 2005-03-11

Conference place

Malmö, Sweden

Status

Published