Finding Specified Sections of Arrangements: 2D Results

P. Bose; F. Hurtado; H. Meijer; S. Ramaswami; D. Rappaport; V. Sacristán; T. Shermer; G. Toussaint

doi:10.1023/A:1015648719133

Finding Specified Sections of Arrangements: 2D Results

P. Bose
, F. Hurtado
, H. Meijer
, S. Ramaswami
, D. Rappaport
, V. Sacristán
, T. Shermer
, G. Toussaint

The Rutgers Center for Computational and Integrative Biology (CCIB)

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

Given a configuration C of geometric objects in R ² (called the input configuration), a target configuration T of geometric objects in R ¹, and a class S of allowable sectioning lines we consider in this paper many variations on the following problem: 'Is there a line S∈S such that the section S∩C is equivalent by rigid motion to the target T?'

Original language	English (US)
Pages (from-to)	3-16
Number of pages	14
Journal	Journal of Mathematical Modelling and Algorithms
Volume	1
Issue number	1
DOIs	https://doi.org/10.1023/A:1015648719133
State	Published - 2002

All Science Journal Classification (ASJC) codes

Modeling and Simulation
Applied Mathematics

Keywords

morphology
probe
projection
recognition
section
stereology
tomography

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10.1023/A:1015648719133

Cite this

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title = "Finding Specified Sections of Arrangements: 2D Results",

abstract = "Given a configuration C of geometric objects in R 2 (called the input configuration), a target configuration T of geometric objects in R 1, and a class S of allowable sectioning lines we consider in this paper many variations on the following problem: 'Is there a line S∈S such that the section S∩C is equivalent by rigid motion to the target T?'",

keywords = "morphology, probe, projection, recognition, section, stereology, tomography",

author = "P. Bose and F. Hurtado and H. Meijer and S. Ramaswami and D. Rappaport and V. Sacrist{\'a}n and T. Shermer and G. Toussaint",

note = "Funding Information: Partially supported by DGES-SEUID PB98-0933 and GEN. CAT. 199SGR000356.",

year = "2002",

doi = "10.1023/A:1015648719133",

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T1 - Finding Specified Sections of Arrangements

T2 - 2D Results

AU - Bose, P.

AU - Hurtado, F.

AU - Meijer, H.

AU - Ramaswami, S.

AU - Rappaport, D.

AU - Sacristán, V.

AU - Shermer, T.

AU - Toussaint, G.

N1 - Funding Information: Partially supported by DGES-SEUID PB98-0933 and GEN. CAT. 199SGR000356.

PY - 2002

Y1 - 2002

N2 - Given a configuration C of geometric objects in R 2 (called the input configuration), a target configuration T of geometric objects in R 1, and a class S of allowable sectioning lines we consider in this paper many variations on the following problem: 'Is there a line S∈S such that the section S∩C is equivalent by rigid motion to the target T?'

AB - Given a configuration C of geometric objects in R 2 (called the input configuration), a target configuration T of geometric objects in R 1, and a class S of allowable sectioning lines we consider in this paper many variations on the following problem: 'Is there a line S∈S such that the section S∩C is equivalent by rigid motion to the target T?'

KW - morphology

KW - probe

KW - projection

KW - recognition

KW - section

KW - stereology

KW - tomography

UR - https://www.scopus.com/pages/publications/26844453303

UR - https://www.scopus.com/pages/publications/26844453303#tab=citedBy

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DO - 10.1023/A:1015648719133

M3 - Article

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JO - Journal of Mathematical Modelling and Algorithms

JF - Journal of Mathematical Modelling and Algorithms

IS - 1

ER -

Finding Specified Sections of Arrangements: 2D Results

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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