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Warping Peirce Quincuncial Panoramas

2010/11/14 by Chamberlain Fong, Fong, Chamberlain, Brian K. Vogel +1 · 1 citation
Computer Science · Earth and Planetary Sciences · Engineering · #3D Surveying and Cultural Heritage #Advanced Vision and Imaging #Computer Vision and Pattern Recognition (cs.CV) #FOS: Computer and information sciences #FOS: Electrical engineering #Graphics (cs.GR) #Image and Video Processing (eess.IV) #Satellite Image Processing and Photogrammetry #cs.CV #cs.GR #eess.IV #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.1011.3189

updated source code with figures and explanation of the software implementation

openalex publication_date 2010/11/14 · arxiv created 2015/09/26 · arxiv updated 2017/09/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The Peirce quincuncial projection is a mapping of the surface of a sphere to the interior of a square. It is a conformal map except for four points on the equator. These points of non-conformality cause significant artifacts in photographic applications. In this paper, we propose an algorithm and user-interface to mitigate these artifacts. Moreover, in order to facilitate an interactive user-interface, we present a fast algorithm for calculating the Peirce quincuncial projection of spherical imagery. We then promote the Peirce quincuncial projection as a viable alternative to the more popular stereographic projection in some scenarios.

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