Spherical Perspective

António B. Araújo ()
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António B. Araújo: Universidade Aberta, CIAC-UAb, Center for Research in Arts and Communication

Chapter 19 in Handbook of the Mathematics of the Arts and Sciences, 2021, pp 527-587 from Springer

Abstract: Abstract We survey the present state of spherical perspective, regarding both mathematical structure and drawing practice, with a view to applications in the visual arts. We define a spherical perspective as the entailment of a conical anamorphosis with a compact flattening of the visual sphere. We examine a general framework for solving spherical perspectives, exemplified with the azimuthal equidistant (“fisheye”) and equirectangular cases. We consider the relation between spherical and curvilinear perspectives. We briefly discuss computer renderings but focus on methods adapted to freehand sketching or technical drawing with simple instruments such as ruler and compass. We discuss how handmade spherical perspective drawings can generate immersive anamorphoses, which can be rendered as virtual reality panoramas, leading to hybrid visual creations that bridge the gap between traditional drawing and digital environments.

Keywords: Spherical perspective; Anamorphosis; Fisheye; Equirectangular; Drawing; Curvilinear perspective; Virtual reality panoramas (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-57072-3_100

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DOI: 10.1007/978-3-319-57072-3_100

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