Projective reconstruction of surfaces of revolution

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Abstract

This paper addresses the problem of recovering the generating curve of a surface of revolution from a single uncalibrated perspective view, based solely on the object's outline and two (partly) visible cross-sections. Without calibration of the camera's internal parameters such recovery is only possible up to a particular transformation of the true shape. This is however sufficient for 3D reconstruction up to a 2DOF transformation, for recognition of objects, and for transfer between views. We will describe the basic algorithm and show some examples. © Springer-Verlag Berlin Heidelberg 2003.

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Utcke, S., & Zisserman, A. (2003). Projective reconstruction of surfaces of revolution. Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 2781, 265–272. https://doi.org/10.1007/978-3-540-45243-0_35

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