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Estimation of Motion Parameters of a Rigid Body from its Orthogonal Projection

Siddhartha Ganguly, Bijoy K. Ghosh, T.J. Tarn, A.K. Bejczy

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Abstract

In this paper, we estimate the motion parameters viz. linear and angular velocities of a rigid body rotating and translating in 3-space. We assume that the velocities are constant and that only the orthogonal projection of the motion is observable. In particular if (x, y, z) is the cartesian coordinate of the 3-space, we assume that the projection of the motion on the x-y plane is observed and the information along the z coordinate is lost.

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What this paper is about

In this paper, we estimate the motion parameters viz. linear and angular velocities of a rigid body rotating and translating in 3-space. We assume that the velocities are constant and that only the orthogonal projection of the motion is observable. In particular if (x, y, z) is the cartesian coordinate of the 3-space, we assume that the projection of the motion on the x-y plane is observed and the information along the z coordinate is lost.

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Available abstract

In this paper, we estimate the motion parameters viz. linear and angular velocities of a rigid body rotating and translating in 3-space. We assume that the velocities are constant and that only the orthogonal projection of the motion is observable. In particular if (x, y, z) is the cartesian coordinate of the 3-space, we assume that the projection of the motion on the x-y plane is observed and the information along the z coordinate is lost.

Key concepts: Orthographic projection, Cartesian coordinate system, Projection (relational algebra), Rigid body, Motion (physics), Observable, Plane (geometry), Orthogonal coordinates

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