A Response surface design of experiment has been performed based on the Muschelknautz method of modeling (MM) for 64 test cases using Box-Behnken design to study the effect of seven geometrical cyclone dimensions on the pressure drop and cut-off diameter. It is found that the most significant geometrical parameters are, the vortex finder diameter, the inlet section width and height, and the cyc...

In medical and surgery applications, the implant design is the key. Any mismatch in the implant design results in the implant failure as well as psychological stress and pain to the patient. Measuring and inspecting the geometrical implant design with the reference model is very important, to ensure the proper fitting and safety of the patient. The purpose of this study is to perform the evalua...

The commonly used radial distortion model for camera calibration is in fact an assumption or a restriction. In practice, camera distortion could happen in a general geometrical manner that is not limited to the radial sense. This paper proposes a simplified geometrical distortion modeling method by using two different radial distortion functions in the two image axes. A family of simplified geo...

We discuss the geometrical connection between 2D conformal field theories, random walks on hyperbolic Riemann surfaces and knot theory. For the wide class of CFT’s with monodromies being the discrete subgroups of SL(2,R I ) the determination of four–point correlation functions are related to construction of topological invariants for random walks on multipunctured Riemann surfaces.

The complete range of various phyllotaxes exemplified in aquatic plants provide an opportunity to characterize the fundamental geometrical relationships operating in leaf patterning. A new polar-coordinate model was used to characterize the correlation between the shapes of shoot meristems and the arrangements of young leaf primordia arising on those meristems. In aquatic plants, the primary ge...

In existing research about 3D city map, geometrical information of buildings’ facade is derived from video image. In order to improve quality of the geometrical information, range image is used in our research. At first range image of existing buildings is acquired using laser scanners mounted on data acquisition vehicle which runs in the street. After removing obstacles from original range ima...

Abstract. The problem of the definition and the estimation of generative models based on deformable templates from raw data is of particular importance for modeling non-aligned data affected by various types of geometrical variability. This is especially true in shape modeling in the computer vision community or in probabilistic atlas building in Computational Anatomy. A first coherent statisti...

We present experimental and theoretical results for geometrical properties of 2D packings of disks. We were mainly interested in the study of mixtures with disk size distribution which are of more practical interest than equal disks. Average geometrical properties, such as packing fraction or coordination number do not depend on the composition of the mixture, contrary to what would be expected...

In the DLR department of optical information technology exists long experience and practical knowledge in geometrical calibration of opto-elctronical systems especially CCD-line scanners. An approved method is the single pixel illumination by collimated light. The accuracy of this method depends of the precision of the used goniometer and is in the order of 2 arcsec. The disadvantage of this me...