This work introduces a novel tool for interactive, real-time affine transformations of two dimensional IFS fractals. The tool uses some of the nice properties of the barycentric coordinates that are assigned to the points that constitute the image of a fractal, and thus enables any affine transformation of the affine basis, done by click-and-drag, to be immediately followed by the same affine t...

This work introduces a novel tool for interactive, real-time transformations of two dimensional IFS fractals. We assign barycentric coordinates (relative to an arbitrary affine basis of R) to the points that constitute the image of a fractal. The tool uses some of the nice properties of the barycentric coordinates, enabling any affine transformation of the basis, done by click-and-drag, to be i...

Calibration of a structured light system is considered in this paper. The system consists of a projector whose output is controlled by a liquid crystal shutter, and a camera to capture the images. A sequence of patterns is projected to temporally encode 256 stripes on the visible surfaces. The transformation from 3D world coordinates to camera image plane coordinates and projector stripe ids ar...

Calibration of a structured light system is considered in this paper. The system consists of a projector whose output is controlled by a liquid crystal shutter, and a camera to capture the images. A sequence of patterns is projected to temporally encode 256 stripes on the visible surfaces. The transformation from 3D world coordinates to camera image plane coordinates and projector stripe ids ar...

The Serret-Andoyer transformation is a classical method for reducing the free rigid body dynamics, expressed in Eulerian coordinates, to a 2-dimensional Hamiltonian flow. First, we show that this transformation is the computation, in 3-1-3 Eulerian coordinates, of the symplectic (Marsden-Weinstein) reduction associated with the lifted left-action of SO(3) on T ∗SO(3)—a generalization and extens...