Tomographic reconstruction of a convex body
type: Item
instance of: scholarly article
title: Tomographic reconstruction of a convex body
zbMATH Open document ID: 0612.52002
DOI: 10.1007/BF02579426
published in: Calcolo
publication date: 1986-01-01T00:00:00Z
review text: Let K be a bounded convex set in the euclidean plane. Let \(\sigma =F_{\theta}(p)\) be the length of the chord that the line G(p,\(\theta)\) determines on K, where p,\(\theta\) are the normal coordinates of G. The paper provides an approximate reconstruction of K from the functions \(F_{\theta_ i}(p)\), or a finite number of their values, for some given values \(\theta_ i\) \((i=1,2,...,m)\). The construction gives inscribed and circumscribed polygons which approximate K. At the end some nice examples are given using a computer.
Mathematics Subject Classification ID: 52A10
Mathematics Subject Classification ID: 65D10
zbMATH DE Number: 3990243
zbMATH Keywords: reconstruction of images
zbMATH Keywords: tomography
zbMATH Keywords: approximation of curves
zbMATH Keywords: support function
zbMATH Keywords: convex set
author: Carla Manni
reviewed by: L. A. Santaló
MaRDI profile type: Publication
cites work: Q4122470
cites work: Monotone and convex cubic spline interpolation
cites work: Q3954445
description: scientific article; zbMATH DE number 3990243