Details:
Title | Algebraic Varieties in Multiple View Geometry | Author(s) | Kalle Astrom, Anders Heyden | Type | Article in Conference Proceedings | Abstract | In this paper we will investigate the different algebraic varieties that can be generated from multiple view geometry with uncalibrated cameras. The natural descriptor, Vn , to work with is the image of IP 3 in IP 2 Theta IP 2 Theta Delta Delta Delta Theta IP 2 under a corresponding product of projections, (A1 Theta A2 Theta : : : Theta Am). Another descriptor, the variety Vb , is the one generated by all bilinear forms between pairs of views, which consists of all points in IP 2 Theta IP 2 Theta Delta Delta Delta Theta IP 2 where all bilinear forms vanish. Yet another descriptor, the variety V t , is the variety generated by all trilinear forms between triplets of views. We will show that when m = 3, Vb is a reducible variety with one component corresponding to V t and another corresponding to the trifocal plane. Furthermore, we will show that when m = 3, V t is generated by the three bilinearities and one trilinearity, when m = 4, V t is generated by th... |
Language | English | Pages | 671-682 | Year | 1996 | Edition | 0 | Translation |
No | Refereed |
No |
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