InforLorV4, Main, Exploration, bibRecord, 000C49

Recognition of Machine-Printed Arabic Mathematical Formulas

Identifieur interne : 000C49 ( Main/Exploration ); précédent : 000C48; suivant : 000C50

Recognition of Machine-Printed Arabic Mathematical Formulas

Auteurs : Khazri Kaouther [Tunisie] ; Afef Kacem [Tunisie] ; Abdel Belaïd [France]

Source :

RBID : Hal:hal-01112674

English descriptors

mix :
- MathML, Mathematical formula interpretation, Notation parser, Structural analysis, —Symbol Recognition.

Abstract

—The proposed system recognizes machine-printed Arabic mathematical formulas, extracted from scanned images of clearly printed documents, and outputs the recognition results in MathML format. Two main stages are followed by the proposed system: symbol recognition and symbol-arrangement analysis. A combination of different statistical features (Run length, central Zernike moments, Bi-level co-occurrence, etc.) and K*, an instance-based classifier, have been used to achieve high accuracy for the recognition of mathematical symbols. We defined a set of replacement rules by a coordinate grammar to parse mathematical formulas. We used the coordinate grammar with emphasis on symbol recognizer as well as symbol arrangement analysis. Both ascending and descending parsing scheme, based on operator dominance, has been used to parse the formula. The proposed system provides output in MathML and achieves satisfactory results.

Url:

https://hal.archives-ouvertes.fr/hal-01112674

Affiliations:

Links toward previous steps (curation, corpus...)

to stream Hal, to step Corpus: 004004
to stream Hal, to step Curation: 004004
to stream Hal, to step Checkpoint: 000B91
to stream Main, to step Merge: 000C55
to stream Main, to step Curation: 000C49

Le document en format XML

<record><TEI><teiHeader><fileDesc><titleStmt><title xml:lang="en">Recognition of Machine-Printed Arabic Mathematical Formulas</title>
<author><name sortKey="Kaouther, Khazri" sort="Kaouther, Khazri" uniqKey="Kaouther K" first="Khazri" last="Kaouther">Khazri Kaouther</name>
<affiliation wicri:level="1"><hal:affiliation type="laboratory" xml:id="struct-39219" status="VALID"><orgName>Technologie de l'Information et de la Communication</orgName>
<orgName type="acronym">UTIC</orgName>
<desc><address><addrLine>5, Avenue Taha Hussein, B. P. : 56, Bab Menara, 1008 Tunis</addrLine>
<country key="TN"></country>
</address>
<ref type="url">http://www.esstt.rnu.tn/utic/</ref>
</desc>
<listRelation><relation active="#struct-310013" type="direct"></relation>
</listRelation>
<tutelles><tutelle active="#struct-310013" type="direct"><org type="institution" xml:id="struct-310013" status="INCOMING"><orgName>École Supérieure des Sciences et Technologies de Tunis</orgName>
<desc><address><country key="FR"></country>
</address>
</desc>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>Tunisie</country>
</affiliation>
</author>
<author><name sortKey="Kacem, Afef" sort="Kacem, Afef" uniqKey="Kacem A" first="Afef" last="Kacem">Afef Kacem</name>
<affiliation wicri:level="1"><hal:affiliation type="laboratory" xml:id="struct-39219" status="VALID"><orgName>Technologie de l'Information et de la Communication</orgName>
<orgName type="acronym">UTIC</orgName>
<desc><address><addrLine>5, Avenue Taha Hussein, B. P. : 56, Bab Menara, 1008 Tunis</addrLine>
<country key="TN"></country>
</address>
<ref type="url">http://www.esstt.rnu.tn/utic/</ref>
</desc>
<listRelation><relation active="#struct-310013" type="direct"></relation>
</listRelation>
<tutelles><tutelle active="#struct-310013" type="direct"><org type="institution" xml:id="struct-310013" status="INCOMING"><orgName>École Supérieure des Sciences et Technologies de Tunis</orgName>
<desc><address><country key="FR"></country>
</address>
</desc>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>Tunisie</country>
</affiliation>
</author>
<author><name sortKey="Belaid, Abdel" sort="Belaid, Abdel" uniqKey="Belaid A" first="Abdel" last="Belaïd">Abdel Belaïd</name>
<affiliation wicri:level="1"><hal:affiliation type="researchteam" xml:id="struct-206042" status="VALID"><orgName>Recognition of writing and analysis of documents</orgName>
<orgName type="acronym">READ</orgName>
<desc><address><country key="FR"></country>
</address>
</desc>
<listRelation><relation active="#struct-423086" type="direct"></relation>
<relation active="#struct-206040" type="indirect"></relation>
<relation active="#struct-300009" type="indirect"></relation>
<relation active="#struct-413289" type="indirect"></relation>
<relation name="UMR7503" active="#struct-441569" type="indirect"></relation>
</listRelation>
<tutelles><tutelle active="#struct-423086" type="direct"><org type="department" xml:id="struct-423086" status="VALID"><orgName>Department of Natural Language Processing & Knowledge Discovery</orgName>
<orgName type="acronym">LORIA - NLPKD</orgName>
<desc><address><country key="FR"></country>
</address>
<ref type="url">http://www.loria.fr/la-recherche-en/departements/Knowledge-and-Language-Management</ref>
</desc>
<listRelation><relation active="#struct-206040" type="direct"></relation>
<relation active="#struct-300009" type="indirect"></relation>
<relation active="#struct-413289" type="indirect"></relation>
<relation name="UMR7503" active="#struct-441569" type="indirect"></relation>
</listRelation>
</org>
</tutelle>
<tutelle active="#struct-206040" type="indirect"><org type="laboratory" xml:id="struct-206040" status="VALID"><idno type="IdRef">067077927</idno>
<idno type="RNSR">198912571S</idno>
<idno type="IdUnivLorraine">[UL]RSI--</idno>
<orgName>Laboratoire Lorrain de Recherche en Informatique et ses Applications</orgName>
<orgName type="acronym">LORIA</orgName>
<date type="start">2012-01-01</date>
<desc><address><addrLine>Campus Scientifique BP 239 54506 Vandoeuvre-lès-Nancy Cedex</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.loria.fr</ref>
</desc>
<listRelation><relation active="#struct-300009" type="direct"></relation>
<relation active="#struct-413289" type="direct"></relation>
<relation name="UMR7503" active="#struct-441569" type="direct"></relation>
</listRelation>
</org>
</tutelle>
<tutelle active="#struct-300009" type="indirect"><org type="institution" xml:id="struct-300009" status="VALID"><orgName>Institut National de Recherche en Informatique et en Automatique</orgName>
<orgName type="acronym">Inria</orgName>
<desc><address><addrLine>Domaine de VoluceauRocquencourt - BP 10578153 Le Chesnay Cedex</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/en/</ref>
</desc>
</org>
</tutelle>
<tutelle active="#struct-413289" type="indirect"><org type="institution" xml:id="struct-413289" status="VALID"><idno type="IdRef">157040569</idno>
<idno type="IdUnivLorraine">[UL]100--</idno>
<orgName>Université de Lorraine</orgName>
<orgName type="acronym">UL</orgName>
<date type="start">2012-01-01</date>
<desc><address><addrLine>34 cours Léopold - CS 25233 - 54052 Nancy cedex</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.univ-lorraine.fr/</ref>
</desc>
</org>
</tutelle>
<tutelle name="UMR7503" active="#struct-441569" type="indirect"><org type="institution" xml:id="struct-441569" status="VALID"><idno type="ISNI">0000000122597504</idno>
<idno type="IdRef">02636817X</idno>
<orgName>Centre National de la Recherche Scientifique</orgName>
<orgName type="acronym">CNRS</orgName>
<date type="start">1939-10-19</date>
<desc><address><country key="FR"></country>
</address>
<ref type="url">http://www.cnrs.fr/</ref>
</desc>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>France</country>
<placeName><settlement type="city">Nancy</settlement>
<settlement type="city">Metz</settlement>
<region type="region" nuts="2">Grand Est</region>
<region type="old region" nuts="2">Lorraine (région)</region>
</placeName>
<orgName type="university">Université de Lorraine</orgName>
</affiliation>
</author>
</titleStmt>
<publicationStmt><idno type="wicri:source">HAL</idno>
<idno type="RBID">Hal:hal-01112674</idno>
<idno type="halId">hal-01112674</idno>
<idno type="halUri">https://hal.archives-ouvertes.fr/hal-01112674</idno>
<idno type="url">https://hal.archives-ouvertes.fr/hal-01112674</idno>
<date when="2014-03-06">2014-03-06</date>
<idno type="wicri:Area/Hal/Corpus">004004</idno>
<idno type="wicri:Area/Hal/Curation">004004</idno>
<idno type="wicri:Area/Hal/Checkpoint">000B91</idno>
<idno type="wicri:explorRef" wicri:stream="Hal" wicri:step="Checkpoint">000B91</idno>
<idno type="wicri:Area/Main/Merge">000C55</idno>
<idno type="wicri:Area/Main/Curation">000C49</idno>
<idno type="wicri:Area/Main/Exploration">000C49</idno>
</publicationStmt>
<sourceDesc><biblStruct><analytic><title xml:lang="en">Recognition of Machine-Printed Arabic Mathematical Formulas</title>
<author><name sortKey="Kaouther, Khazri" sort="Kaouther, Khazri" uniqKey="Kaouther K" first="Khazri" last="Kaouther">Khazri Kaouther</name>
<affiliation wicri:level="1"><hal:affiliation type="laboratory" xml:id="struct-39219" status="VALID"><orgName>Technologie de l'Information et de la Communication</orgName>
<orgName type="acronym">UTIC</orgName>
<desc><address><addrLine>5, Avenue Taha Hussein, B. P. : 56, Bab Menara, 1008 Tunis</addrLine>
<country key="TN"></country>
</address>
<ref type="url">http://www.esstt.rnu.tn/utic/</ref>
</desc>
<listRelation><relation active="#struct-310013" type="direct"></relation>
</listRelation>
<tutelles><tutelle active="#struct-310013" type="direct"><org type="institution" xml:id="struct-310013" status="INCOMING"><orgName>École Supérieure des Sciences et Technologies de Tunis</orgName>
<desc><address><country key="FR"></country>
</address>
</desc>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>Tunisie</country>
</affiliation>
</author>
<author><name sortKey="Kacem, Afef" sort="Kacem, Afef" uniqKey="Kacem A" first="Afef" last="Kacem">Afef Kacem</name>
<affiliation wicri:level="1"><hal:affiliation type="laboratory" xml:id="struct-39219" status="VALID"><orgName>Technologie de l'Information et de la Communication</orgName>
<orgName type="acronym">UTIC</orgName>
<desc><address><addrLine>5, Avenue Taha Hussein, B. P. : 56, Bab Menara, 1008 Tunis</addrLine>
<country key="TN"></country>
</address>
<ref type="url">http://www.esstt.rnu.tn/utic/</ref>
</desc>
<listRelation><relation active="#struct-310013" type="direct"></relation>
</listRelation>
<tutelles><tutelle active="#struct-310013" type="direct"><org type="institution" xml:id="struct-310013" status="INCOMING"><orgName>École Supérieure des Sciences et Technologies de Tunis</orgName>
<desc><address><country key="FR"></country>
</address>
</desc>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>Tunisie</country>
</affiliation>
</author>
<author><name sortKey="Belaid, Abdel" sort="Belaid, Abdel" uniqKey="Belaid A" first="Abdel" last="Belaïd">Abdel Belaïd</name>
<affiliation wicri:level="1"><hal:affiliation type="researchteam" xml:id="struct-206042" status="VALID"><orgName>Recognition of writing and analysis of documents</orgName>
<orgName type="acronym">READ</orgName>
<desc><address><country key="FR"></country>
</address>
</desc>
<listRelation><relation active="#struct-423086" type="direct"></relation>
<relation active="#struct-206040" type="indirect"></relation>
<relation active="#struct-300009" type="indirect"></relation>
<relation active="#struct-413289" type="indirect"></relation>
<relation name="UMR7503" active="#struct-441569" type="indirect"></relation>
</listRelation>
<tutelles><tutelle active="#struct-423086" type="direct"><org type="department" xml:id="struct-423086" status="VALID"><orgName>Department of Natural Language Processing & Knowledge Discovery</orgName>
<orgName type="acronym">LORIA - NLPKD</orgName>
<desc><address><country key="FR"></country>
</address>
<ref type="url">http://www.loria.fr/la-recherche-en/departements/Knowledge-and-Language-Management</ref>
</desc>
<listRelation><relation active="#struct-206040" type="direct"></relation>
<relation active="#struct-300009" type="indirect"></relation>
<relation active="#struct-413289" type="indirect"></relation>
<relation name="UMR7503" active="#struct-441569" type="indirect"></relation>
</listRelation>
</org>
</tutelle>
<tutelle active="#struct-206040" type="indirect"><org type="laboratory" xml:id="struct-206040" status="VALID"><idno type="IdRef">067077927</idno>
<idno type="RNSR">198912571S</idno>
<idno type="IdUnivLorraine">[UL]RSI--</idno>
<orgName>Laboratoire Lorrain de Recherche en Informatique et ses Applications</orgName>
<orgName type="acronym">LORIA</orgName>
<date type="start">2012-01-01</date>
<desc><address><addrLine>Campus Scientifique BP 239 54506 Vandoeuvre-lès-Nancy Cedex</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.loria.fr</ref>
</desc>
<listRelation><relation active="#struct-300009" type="direct"></relation>
<relation active="#struct-413289" type="direct"></relation>
<relation name="UMR7503" active="#struct-441569" type="direct"></relation>
</listRelation>
</org>
</tutelle>
<tutelle active="#struct-300009" type="indirect"><org type="institution" xml:id="struct-300009" status="VALID"><orgName>Institut National de Recherche en Informatique et en Automatique</orgName>
<orgName type="acronym">Inria</orgName>
<desc><address><addrLine>Domaine de VoluceauRocquencourt - BP 10578153 Le Chesnay Cedex</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/en/</ref>
</desc>
</org>
</tutelle>
<tutelle active="#struct-413289" type="indirect"><org type="institution" xml:id="struct-413289" status="VALID"><idno type="IdRef">157040569</idno>
<idno type="IdUnivLorraine">[UL]100--</idno>
<orgName>Université de Lorraine</orgName>
<orgName type="acronym">UL</orgName>
<date type="start">2012-01-01</date>
<desc><address><addrLine>34 cours Léopold - CS 25233 - 54052 Nancy cedex</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.univ-lorraine.fr/</ref>
</desc>
</org>
</tutelle>
<tutelle name="UMR7503" active="#struct-441569" type="indirect"><org type="institution" xml:id="struct-441569" status="VALID"><idno type="ISNI">0000000122597504</idno>
<idno type="IdRef">02636817X</idno>
<orgName>Centre National de la Recherche Scientifique</orgName>
<orgName type="acronym">CNRS</orgName>
<date type="start">1939-10-19</date>
<desc><address><country key="FR"></country>
</address>
<ref type="url">http://www.cnrs.fr/</ref>
</desc>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>France</country>
<placeName><settlement type="city">Nancy</settlement>
<settlement type="city">Metz</settlement>
<region type="region" nuts="2">Grand Est</region>
<region type="old region" nuts="2">Lorraine (région)</region>
</placeName>
<orgName type="university">Université de Lorraine</orgName>
</affiliation>
</author>
</analytic>
</biblStruct>
</sourceDesc>
</fileDesc>
<profileDesc><textClass><keywords scheme="mix" xml:lang="en"><term>MathML</term>
<term>Mathematical formula interpretation</term>
<term>Notation parser</term>
<term>Structural analysis</term>
<term>—Symbol Recognition</term>
</keywords>
</textClass>
</profileDesc>
</teiHeader>
<front><div type="abstract" xml:lang="en">—The proposed system recognizes machine-printed Arabic mathematical formulas, extracted from scanned images of clearly printed documents, and outputs the recognition results in MathML format. Two main stages are followed by the proposed system: symbol recognition and symbol-arrangement analysis. A combination of different statistical features (Run length, central Zernike moments, Bi-level co-occurrence, etc.) and K*, an instance-based classifier, have been used to achieve high accuracy for the recognition of mathematical symbols. We defined a set of replacement rules by a coordinate grammar to parse mathematical formulas. We used the coordinate grammar with emphasis on symbol recognizer as well as symbol arrangement analysis. Both ascending and descending parsing scheme, based on operator dominance, has been used to parse the formula. The proposed system provides output in MathML and achieves satisfactory results.</div>
</front>
</TEI>
<affiliations><list><country><li>France</li>
<li>Tunisie</li>
</country>
<region><li>Grand Est</li>
<li>Lorraine (région)</li>
</region>
<settlement><li>Metz</li>
<li>Nancy</li>
</settlement>
<orgName><li>Université de Lorraine</li>
</orgName>
</list>
<tree><country name="Tunisie"><noRegion><name sortKey="Kaouther, Khazri" sort="Kaouther, Khazri" uniqKey="Kaouther K" first="Khazri" last="Kaouther">Khazri Kaouther</name>
</noRegion>
<name sortKey="Kacem, Afef" sort="Kacem, Afef" uniqKey="Kacem A" first="Afef" last="Kacem">Afef Kacem</name>
</country>
<country name="France"><region name="Grand Est"><name sortKey="Belaid, Abdel" sort="Belaid, Abdel" uniqKey="Belaid A" first="Abdel" last="Belaïd">Abdel Belaïd</name>
</region>
</country>
</tree>
</affiliations>
</record>

Pour manipuler ce document sous Unix (Dilib)

EXPLOR_STEP=$WICRI_ROOT/Wicri/Lorraine/explor/InforLorV4/Data/Main/Exploration

HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 000C49 | SxmlIndent | more

HfdSelect -h $EXPLOR_AREA/Data/Main/Exploration/biblio.hfd -nk 000C49 | SxmlIndent | more

Pour mettre un lien sur cette page dans le réseau Wicri

{{Explor lien
   |wiki=    Wicri/Lorraine
   |area=    InforLorV4
   |flux=    Main
   |étape=   Exploration
   |type=    RBID
   |clé=     Hal:hal-01112674
   |texte=   Recognition of Machine-Printed Arabic Mathematical Formulas
}}

This area was generated with Dilib version V0.6.33.
Data generation: Mon Jun 10 21:56:28 2019. Site generation: Fri Feb 25 15:29:27 2022

	Serveur d'exploration sur la recherche en informatique en Lorraine
	Attention, ce site est en cours de développement ! Attention, site généré par des moyens informatiques à partir de corpus bruts. Les informations ne sont donc pas validées.

Serveur d'exploration sur la recherche en informatique en Lorraine

Recognition of Machine-Printed Arabic Mathematical Formulas

Recognition of Machine-Printed Arabic Mathematical Formulas

Source :

English descriptors

Abstract

Links toward previous steps (curation, corpus...)

Le document en format XML

Pour manipuler ce document sous Unix (Dilib)

Pour mettre un lien sur cette page dans le réseau Wicri