Sweeping of three-dimensional objects

Sweeping of three-dimensional objects

The basic problem which this paper addresses is the following: given an arbitrary three-dimensional object, which moves along an arbitrary path (possibly rotating as it does so), to compute the volume swept out by the solid object as it moves, or in other words, to find the new solid volume which represents all of the points in space which the object has occupied at some time during the motion....

Recursive Sweeping Preconditioner for the Three-Dimensional Helmholtz Equation

This paper introduces the recursive sweeping preconditioner for the numerical solution of the Helmholtz equation in three dimensions. This is based on the earlier work of the sweeping preconditioner with the moving perfectly matched layers. The key idea is to apply the sweeping preconditioner recursively to the quasi-two-dimensional auxiliary problems introduced in the three-dimensional (3D) sw...

Tracking Known Three-Dimensional Objects

A method of visually tracking a known three-dimensional object is described. Predicted object position and orientation extrapolated from previous tracking data are used to find known features in one or more pictures. The measured image positions of the features are used to adjust the estimates of object position, orientation, velocity, and angular velocity in three dimensions, Filtering over ti...

Morphing Three Dimensional Polyhedral Objects

Goniospectral Imaging of Three-Dimensional Objects

2 We propose a method for extracting goniospectral information of three-dimensional objects from multiband images obtained under several illuminants and reproducing the objects under various kinds of illuminants. Using the dichromatic reflection model, goniophotometric information of both diffuse component and specular component is estimated from the images acquired under the illuminant from se...