Local 1-shock curve arcs and local reverse 2-shock curve arcs were constructed, in the geometric context of the wave manifold, in a previous paper. In that geometric context, sonic and sonic’ surfaces are the boundaries of admissible shock curve arcs; in order to introduce the concept of non-local 1-shock curve arcs and non-local reverse 2shock curve arcs it is necessary to understand how a hug...

Runoff assessment and estimation is crucial for watershed management as it provides information that is needed to expedite the course of watershed planning and development. The most commonly used model due to its simplicity and versatility in runoff estimation is the soil conservation service curve number developed by the United States Department of Agriculture. The study estimates the surface ...

Residue curve maps are a powerful tool for the preliminary design of Reactive Distillation (RD). In this study, residue curve maps of the n-butyl acetate synthesis reaction were calculated based on the Langmuir–Hinshelwood–Hougen–Watson kinetic and UNIQUAC models to calculate the physical properties of the system. The results showed that the unstable node branch emerged from the n-butyl ace...

Generalized Bernstein-like functions (gB-like functions) with different shape parameters are used in this work. Parametric and geometric conditions generalized form developed. Some numerical examples of the parametric continuity (PC) (GC) constraints Bézier-like curves curves) analyzed graphical representation. symmetric rotation surfaces constructed by gB-like curves. Vase Capsule Taurus model...

Implicit surface blends can be obtained by combining distance surfaces. These are surfaces defined by distance to ‘skeletal’ elements such as points, line segments, polygons, or any free-form curve, surface, or volume. To illustrate, we consider distance to the planar curve shown below. Computing this distance is demanding [Bloomenthal 1989], [Schneider 1990], and often a piecewise linear appro...

This paper presents a new method to extract the 3D shape of objects from 3D gray level images using a bicubic B-spline surface model. Extraction of object shape is achieved through a hierarchical surface fitting by exploiting the multi-scale representation of the model. A strategy for converting the surface estimation into curve estimations is devised. The model surface is estimated by successi...

This paper starts with developing kinematic and dynamic model of a snake shape robot in serpentine locomotion and finishes with actual experimentation. At the beginning the symmetrical and unsymmetrical serpenoid curves are introduced. Kinematics and dynamics of a snake robot on flat and inclined surfaces are obtained for a general n-link robot. SimMechanics toolbox of MATLAB software is employ...