Abstract—Bezier curves have useful properties for path generation problem, for instance, it can generate the reference trajectory for vehicles to satisfy the path constraints. Both algorithms join cubic Bezier curve segment smoothly to generate the path. Some of the useful properties of Bezier are curvature. In mathematics, curvature is the amount by which a geometric object deviates from being...

A closed-form solution for multilayer structures with initial strains under generalized plane strain conditions is presented. Such solutions can be useful for estimating the curvature radius and strains or stresses for self-positioning microand nano-structures with lattice mismatched layers. Comparison with finite element results shows that the developed solution predicts reasonable values of t...

baradaran rafii ar, md; motevasseli t, md*; yazdizadeh f, md; ansari sh, md; karimian f, md; sadoughi mm, md; kiani h ocular tissue engineering research center, shahid beheshti university of medical sciences, tehran, iran * corresponding author: [email protected] purpose: to compare anterior segment indices measured by two scheimpflug camera; galilei and pentacam. methods: in this observa...

In this investigation we develop a mathematical model to simulate the actuation of a multilayer metallic strip. In the first step of the model development, we employ the theory of Judy [4] and Timoshenko [5] to quantify the radius of curvature in the unimorph due to differing thermal coefficients in the constituent materials. The resulting radius of curvature is subsequently used to compute the...

We investigated the possibility of controlling thin film buckling patterns by varying the substrate curvature and the stress induced therein upon cooling. The numerical and experimental studies are based on a spherical Ag core/SiO(2) shell system. For Ag substrates with a relatively larger curvature, the dentlike triangular buckling pattern comes out when the film nominal stress exceeds a criti...

A Gaussian model of the radius measurement of micro-optics has been developed and tested using simulations. The model is based on the propagation distances in the interferometer, a heretofore uninvestigated effect. The goal of the model is to determine the bias error in the radius due to the Gaussian Beam propagation model. After testing the model with varying conditions, we have concluded the ...

Estimation of the geometric parameters of blood vessels is an important stage in the diagnosis of many cardiovascular diseases. In this work, we describe a method for estimating the diameter of blood vessels based on a modified local fan transform. We present experimental results that show in which way the accuracy of blood vessel estimation is affected by the noise-to-signal ratio in the image...

In this paper we develop a mathematical model to simulate the actuation of a multilayer metallic strip. In the first step of the model development, we employ the theory of Judy [4] and Timoshenko [5] to quantify the radius of curvature in the unimorph due to differing thermal coefficients in the constituent materials. The resulting radius of curvature is subsequently used to compute the voltage...

We quantify the posterior surface distortions in optical coherence tomography (OCT) images of isolated crystalline lenses. The posterior radius of curvature and asphericity obtained from OCT images acquired with the beam incident first on the anterior, and then the posterior, surface were compared. The results were compared with predictions of a ray-tracing model which includes the index gradie...