Multidimensional reconstruction by set-valued approximations

David Levin*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Some generalizations of the notion of univariate data interpolation are presented, inducing the concept of set-valued interpolation in a general metric space. Consequently methods for univariate interpolation or smoothing of multidimensional geometrical data are suggested. In particular the application of these methods to 3-D body recognition from cross-sectional data is discussed. Preliminary analysis of the interpolation process is presented and the capability of reconstructing bodies of complex topologies is exemplified.

Original languageEnglish
Pages (from-to)173-184
Number of pages12
JournalIMA Journal of Numerical Analysis
Issue number2
StatePublished - Apr 1986


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