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・ Geometric probability
・ Geometric programming
・ Geometric progression
・ Geometric quantization
・ Geometric quotient
・ Geometric separator
・ Geometric series
・ Geometric shape
・ Geometric Shapes
・ Geometric Shapes Extended
・ Geometric spanner
・ Geometric stable distribution
・ Geometric standard deviation
・ Geometric Technologies, Inc.
・ Geometric terms of location
Geometric tomography
・ Geometric topology
・ Geometric topology (disambiguation)
・ Geometric topology (object)
・ Geometric tortoise
・ Geometric transformation
・ Geometrical acoustics
・ Geometrical frustration
・ Geometrical optics
・ Geometrical-optical illusions
・ Geometrically and materially nonlinear analysis with imperfections included
・ Geometrically regular ring
・ Geometrics
・ Geometric–harmonic mean
・ Geometridites


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Geometric tomography : ウィキペディア英語版
Geometric tomography
Geometric tomography is a mathematical field that focuses on problems of reconstructing homogeneous (often convex) objects from tomographic data (this might be X-rays, projections, sections, brightness functions, or covariograms). More precisely, according to R.J. Gardner (who introduced the term), "Geometric tomography deals with the retrieval of information about a geometric object from data concerning its projections (shadows) on planes or cross-sections by planes."〔
Gardner, R.J., Geometric Tomography, Cambridge University Press, Cambridge, UK, 2nd ed., 2006〕
==Theory==
A key theorem in this area states that any convex body in E^n can be determined by parallel, coplanar
X-rays in a set of four directions whose slopes have a transcendental cross ratio.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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