A new method for normalizing and quantizing images is presented. The method is based on calculating a local reference frame for the image gray levels. ”he levels of the reference frame are calculated using biased diffusions that are linked to the original image. The method is conceived to be integrated with sensing elements on the image plane of a camera. Its mathematical properties are analyze...

Streamline patterns and their local and global bifurcations in a two-dimensional peristaltic flow for an incompressible Newtonian fluid have been investigated. An analytical solution for the stream-function is found under a long-wavelength and low-Reynolds number approximation. The problem is solved in a moving coordinate system where a system of nonlinear autonomous differential equations can ...

We present a novel solution for extrinsically calibrating a camera and a Laser Rangefinder (LRF) by computing the transformation between the camera frame and the LRF frame. Our method is applicable for LRFs which measure only a single plane. It does not rely on observing the laser plane in the camera image. Instead, we show that point-to-plane constraints from a single observation of a V-shaped...

This paper presents a vehicle detection method which can divide overlap vehicles. The proposed method detects vehicles by finding vertical planes above a road plane. At first, two horizontal line segments adjacent vertically are detected in the present frame. Then, corresponding line segments are searched in the previous frame by a correlation matching. If the motion of these horizontal line se...

The aim of this study was to define a body-fixed coordinate frame for the scapula that minimises axes variability and is closely related to the clinical frame of reference. Medical images of 21 scapulae were used to quantify 14 different axes from identifiable landmarks. The plane of the blade of the scapula was defined. The orientations of the quantified axes were calculated. The angular relat...

Rich geometric models of the environment are needed for robots to accomplish their missions. However a robot operating in a large environment would require a compact representation. In this article, we present a method that relies on the idea that a plane appears as a line segment in a 2D scan, and that by tracking those lines frame after frame, it is possible to estimate the parameters of that...

are satisfied. In (1), S, is the stress tensor, p the density, f is the body force per unit mass, and a7 is the acceleration. In (2), V is the velocity field. Consider the plane motion in a second frame, denoted by 77, which is obtained from 7 by a three-dimensional translation and a superposed rigid rotation a> = const, normal to the plane of motion. If the translation is dependent on time onl...