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Uniqueness of Solutions to Structure and Motion from Combinations of Point and Line Correspondences

✍ Scribed by Robert J. Holt; Arun N. Netravali


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
342 KB
Volume
7
Category
Article
ISSN
1047-3203

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✦ Synopsis


of structure and motion when given many point and line correspondences over three views is presented in [18].

A great deal of dynamic computer vision literature deals with the determination of motion and structure of rigid objects

In this paper we determine circumstances under which by observing points or lines on objects at two or more time a unique solution to structure and motion is almost always instants. In this paper we determine circumstances under which guaranteed. We will be primarily concerned with the case a unique solution to structure and motion is almost always in which an observed rigid object is moving with constant guaranteed when various combinations of point and line corremotion. By this we mean that the object undergoes conspondences among several snapshots of an object are known. stant rotation about a center of rotation which itself is

The case given the most consideration is that in which the moving in a straight line at constant velocity. This model object is moving with constant motion, that is, with constant is appropriate when considering instantaneous motion as rotation about an unknown center which itself is moving with approximated by snapshots in rapid succession, and is disconstant translation. In this case we show that there is a unique cussed in detail in [19]. Also, in [20] it is shown that there solution for motion and structure when either two point and one line or one point and two line correspondences are known is a unique solution for structure and motion given three over three frames with known timing. There is also a unique point correspondences over three views, two point corresolution when one point and one line correspondence are known spondences over four views, and one point correspondence over four frames. Several examples are given to illustrate our over six views, and at most sixteen solutions for one point results.


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