Repository logo
 
Publication

Ruler, compass, and nail: constructing a total spherical perspective

2018-06-26Journal article Open access
Simple item page
dc.contributor.authorAraújo, António
dc.date.accessioned2019-01-14T11:47:19Z
dc.date.available2019-01-14T11:47:19Z
dc.date.issued2018-06-26
dc.description.abstractWe obtain a construction of a total spherical perspective with ruler, compass, and nail. This is a generalization of the spherical perspective of Barre and Flocon to a 360-degree field of view. Since the 1960s, several generalizations of this perspective have been proposed, but they were either works of a computational nature, inadequate for drawing with simple instruments, or lacked a general method for solving all vanishing points. We establish a general setup for anamorphosis and central perspective, define the total spherical perspective within this framework, study its topology, and show how to solve it with simple instruments. We consider its uses both in freehand drawing and in computer visualization, and its relation with the problem of reflection on a sphere.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationAntónio Araújo - Ruler, compass, and nail: constructing a total spherical perspective. "Journal of Mathematics and the Arts" [Em linha]. ISSN 1751-3472 (Print) 1751-3480 (Online). 12, nº 2, 3 (2018), 22 p.pt_PT
dc.identifier.doi10.1080/17513472.2018.1469378pt_PT
dc.identifier.issn1751-3472 (Print)
dc.identifier.issn1751-3480 (Online)
dc.identifier.urihttp://hdl.handle.net/10400.2/7853
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherTaylor & Francispt_PT
dc.relation.publisherversionhttp://www.tandfonline.com/10.1080/17513472.2018.1469378pt_PT
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/pt_PT
dc.subjectArt and Mathematicspt_PT
dc.subjectPerspectivept_PT
dc.subjectAnamorphosispt_PT
dc.subjectFisheyept_PT
dc.subjectAzimuthal equidistantpt_PT
dc.subject6-Point perspectivept_PT
dc.subject5-Point perspectivept_PT
dc.subjectDrawingpt_PT
dc.subjectDescriptive geometrypt_PT
dc.subjectGeometrypt_PT
dc.subjectSpherical perspectivept_PT
dc.subjectCurvilinear perspectivept_PT
dc.subjectComputer graphicspt_PT
dc.titleRuler, compass, and nail: constructing a total spherical perspectivept_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/5876/UID%2FMAT%2F04561%2F2013/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/5876/UID%2FMulti%2F04019%2F2013/PT
oaire.citation.endPage22pt_PT
oaire.citation.startPage1pt_PT
oaire.citation.titleJournal of Mathematics and the Artspt_PT
oaire.fundingStream5876
oaire.fundingStream5876
person.familyNameAraújo
person.givenNameAntónio
person.identifier.ciencia-idB113-5CDF-F72D
person.identifier.orcid0000-0003-0909-5782
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublicationb49f67c9-fb5b-4de4-a12c-a63d72fd2e4c
relation.isAuthorOfPublication.latestForDiscoveryb49f67c9-fb5b-4de4-a12c-a63d72fd2e4c
relation.isProjectOfPublication790cb869-ff08-40ad-8026-fa89e1020bc0
relation.isProjectOfPublication5e5c87b2-9ae1-4baa-9cde-28032e7e4e73
relation.isProjectOfPublication.latestForDiscovery790cb869-ff08-40ad-8026-fa89e1020bc0

Files

License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.97 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

Matemática e Estatística | Artigos em revistas internacionais / Papers in international journals