2 research outputs found
Distribution of degrees of freedom over structure and motion of rigid bodies
This paper is concerned with recovery of motion and structure parameters from
multiframes under orthogonal projection when only points are traced. The main
question is how many points and/or how many frames are necessary for the task.
It is demonstrated that 3 frames and 3 points are the absolute minimum.
Closed-form solution is presented. Furthermore, it is shown that the task may
be linearized if either four points or four frames are available. It is
demonstrated that no increase in the number of points may lead to recovery of
structure and motion parameters from two frames only. It is shown that instead
the increase in the number of points may support the task of tracing the points
from frame to frame.Comment: 20 pages, 7 figure
Rigid Body Structure and Motion From Two-Frame Point-Correspondences Under Perspective Projection
This paper is concerned with possibility of recovery of motion and structure
parameters from multiframes under perspective projection when only points on a
rigid body are traced. Free (unrestricted and uncontrolled) pattern of motion
between frames is assumed. The major question is how many points and/or how
many frames are necessary for the task. It has been shown in an earlier paper
{Klopotek:95b} that for orthogonal projection two frames are insufficient for
the task. The paper demonstrates that, under perspective projection, that total
uncertainty about relative position of focal point versus projection plane
makes the recovery of structure and motion from two frames impossible.Comment: arXiv admin note: text overlap with arXiv:1705.0398