This paper investigates, how two fundamental measurement operations in Euclidean space, namely the construction of a straight line of given orientation angle and the measurement of distances along this line, are mapped to the non-Euclidean log-polar image plane. It is shown, how these two operations can be efficiently implemented for discrete log-polar images. The measurement operations are use...

In the main result of this paper we show that if the Julia set of a meromorphic function f contains a free analytic Jordan arc then it must in fact be a straight line, circle, segment of a straight line or an arc of a circle. If f is transcendental then the Julia set is unbounded and so consists of one or two straight line segments. We construct examples of functions whose Julia sets are of thi...

Reconstruction of 3D scenes with abundant straight line features has many applications in computer vision and robot navigation. Most approaches to this problem involve stereo techniques, in which a solution to the correspondence problem between at least two different images is required. In contrast, 3D reconstruction of straight horizontal lines from a single 2D omni-directional image is studie...

Making an Autonomous Electric Vehicle (AEV) and able to operate “unmanned” requires extensive theoretical as well as practical knowledge. An AEV must be able to make decisions and respond to situations completely on its own. Buggy car are used a as Electric Vehicle (EV) and set up with several equipment and sensor as an AEV. A camera is installed in front of the AEV and is used to obtain image ...

Abstract 'Fhe straight line length available for post preparations in pulps of 957 human teeth was evaluated. Analysis of radiographs in both buccolingual and mesiodistal directions showed that only 2.7% of the teeth studied were straight to the apex in both views. Average straight line lengths were calculated for the different types of teeth and used to offer guidelines for the length of pcjst...

Foveal or spatially-variant image representations are important components of active vision systems. Log-polar sampling is a particularly powerful example as a result of the simplicity with which expansion and rotation can be handled. These properties are exploited here for the detection of general straight lines, line segments, and circles through the foveation point. An efficient and practica...

Every planar graph has a crossings-free drawing in the plane. Formally, a straight-line drawing of a planar graph G is one where each vertex is placed at a point in the plane and each edge is represented by a straight-line segment between the two corresponding points such that no two edges cross each other, except possibly at their common endpoints. A straight-line grid drawing of G is a straig...

I.4: “If two triangles have the two sides equal to two sides respectively, and have the angles contained by the equal straight lines equal, they will also have the base equal to the base, the triangle will be equal to the remaining angles respectively, namely those which the equal sides subtend.” I.9: “To bisect a given rectilinear angle.” I.10: “To bisect a given finite straight line.” I.11: “...

The paper describes a novel approach for the generation of 3D building models from airborne laserscanner data, which is based on the detection of straight lines in specific 2D projections of the data. First, the main roof ridge directions of a building are determined. Based on these ridge directions, hypotheses on the roof orientation are generated. The whole point cloud is rotated by the roof ...