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Spherical Perspective

In: Handbook of the Mathematics of the Arts and Sciences

Author

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  • António B. Araújo

    (Universidade Aberta, CIAC-UAb, Center for Research in Arts and Communication)

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.

Suggested Citation

  • António B. Araújo, 2021. "Spherical Perspective," Springer Books, in: Bharath Sriraman (ed.), Handbook of the Mathematics of the Arts and Sciences, chapter 19, pages 527-587, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-57072-3_100
    DOI: 10.1007/978-3-319-57072-3_100
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