Transition curves with monotone curvature profile are widely applied in fair curve design. Advantage of using transition curve is that it can avoid the undesirable curvature extrema. Demonstration of transition curve in designing surface of revolution, particular of vase design can be often seen in literature. For these demonstrations, authors mainly focused on the curvature control of the vase...

A constrained variational curve is a curve that minimizes some energy functional under certain interpolation constraints. Modeling curves using constrained variational principles is attractive, because the designer is not bothered with the precise representation of the curve (e.g. control points). Until now, the modeling of variational curves is mainly done by means of constraints. If such a cu...

It is very difficult and costly to experimentally observe the motion of the basilar membrane in a fully functional cochlea with the view to obtaining amplitude response at points along the membrane. This paper presents an inexpensive method of generating psychoacoustic tuning curves from the well-known masking curves in critical band rate. We present a method for designing critical band auditor...

15 Parametric Curves And Surfaces 15.1 Parametric Curves Designing Curves • We don’t want only polygons. • Curves are used for design. Users require a simple set of controls to allow them to edit and design curves easily. • Curves should have infinite resolution, so we can zoom in and still see a smooth curve. • We want to have a compact representation. Parametric functions are of the form x(t)...

in this paper it is attempted to predict the off-design performance of a jet engine. after a review of the governing equations, the off-design performance is investigated by two methods. in the first method, the component characteristic curves of the gas turbines are used. in the second method some design point parameters and the reference state conditions are employed. the results obtained by ...

The curve is the most basic design element to determine shapes and silhouettes of industrial products and works for shape designers and it is inevitable for them to make it aesthetic and attractive to improve the total quality of the shape design. If we can find an equation of aesthetic curves, it is expected that the quality of the curve design improves drastically because we can use it as a s...

The use of non-linear optimal curves for an intuitive design with interpolating curves is proposed. The curve design system is based on an optimization algorithm that can minimize a variety of optimality functionals, which are based on the integration of the curve length, curvature and curvature derivatives. Besides the to be interpolated points further constraints on the curve normals can be i...

failure to thrive (ftt) is a perplexing disorder commonly seen by primary care physicians. identification of ftt and an assessment of severity of the undernutrition are important to identify children at risk, and to provide appropriate intervention for preventing malnutrition and developing sequela. one of different anthropometric methods for categorizing undernutrition in childhood is waterlow...

The role of differential geometry in describing a curve can not be denied. The differential forms defined for Bézier curves which are widely used in computer aided geometric design, plays a significant role in classification and image processing of curves. For this reason, the definitions such as Serret-Frenet frame, curvature and torsion which are described for Bézier curves are very important...