ARTICLE HISTORY: Received 04 March 2015 Revised 22 March 2015 Accepted 22 March 2015 Studying Gaussian beam is a method to investigate laser beam propagation and ABCD matrix is a fast and simple method to simulate Gaussian beam propagation in different mediums. Of the ABCD matrices studied so far, reflection and refraction matrices at various surfaces have attracted a lot of researches. However...

Locating and classifying quadric surfaces is a significant step in the recognition of 3D manufactured objects because quadric surfaces are commonly occuring shapes in man-made products. Surface fitting based on the input sample data point set is an effective strategy for quadric surface recognition. Two algorithms of quadric surface fitting that are especially useful for hyperboloid and parabol...

Reference 1] Pavel Krsek, Tomm a s Pajdla, and VV aclav Hlavv a c. Estimation of differential structures on triangulated surfaces. Abstract: This paper presents a method for extracting diierential structures on 3D surfaces and describes an algorithm for estimation of principal curvatures and principal directions from 3D scanned data. The method serves as a base for the extracting intrinsic curv...

The paper is devoted to the parametrization extension problem: given a loop composed of 3 (resp. 4) rational Bézier curves on a rational surface X, find a triangular (resp. tensor product) Bézier patch on X of optimal degree bounded by these curves. The constructive solution to the formulated problem is presented in details for cases where X is a sphere or a hyperbolic paraboloid. Then X is an ...

A design methodology for collapsible rib-tensioned surface (CRTS) reflectors is presented. Offset configurations are explicitly addressed. For a reflector with aperture of 10 m diameter and focal length of 7.8 m, a root-mean-square surface accuracy of about 2 mm is achievable; this result scales linearly with the diameter. The design of a 1.5 m diameter prototype is presented, and the accuracy ...

The rapidly growing communication demands in our society require the design of high-performance solid paraboloid antennas with extremely high surface accuracy, which remains a challenge due to inevitable thermal deformations. This paper proposes novel thermally stable segmented antenna accuracy. In this design, reflector is divided into certain number pieces, each then individually supported by...

Ruled surface design and its applications are widely used in CAGD (Computer Aided Geometric Design) and industrial areas. The hyperbolic paraboloid, the cylinder, the cone, and the hyperboloid are ruled surfaces with particular shapes. In this paper, dual space drawing methods for these particular ruled surfaces are proposed. The underlying principles of these methods are the applications, exte...