A knowledge of rainfall distribution over a finite area is needed for small bydraulic structures design. Hydrologists have always been concerned about Depth- Area- Duration (DAD) for a specific storm in a watershed. An intense storm occurred on June 6, 1992 which claimed some lives in parts of Mashhad, Khorasan Province, Iran. Data of rainfall depth at 29 raingauge stations around the city and ...

The aim of this paper is to demonstrate that the techniques of Computer Aided Geometric Design such as spatial rational curves and surfaces could be applied to Kinematics, Computer Animation and Robotics. For this purpose we represent a method which utilizes a special class of rational curves called Rational Frenet–Serret (RF) curves for robot trajectory planning. RF curves distinguished by the...

In this work we propose a novel approach to curve morphing. We represent curves by strings, i.e. sequences of symbols. The curve morphing problem is formulated as that of computing a weighted mean of two strings, which is then solved by a corresponding algorithm recently reported in the literature. Although only 2D curves are used in our experiments, the approach is applicable to curves in any ...

In this paper we will present a novel design element creator tool for the digital artist. The purpose of our tool is to support the creation of vines, swirls, swooshes and floral components. To create visually pleasing and gentle curves we employ Pythagorean Hodograph quintic curves to join a hierarchy of control circles defined by the user. The control circles are joined by spiral segments wit...

We propose a novel intelligent approach into 2D to 3D of on-line sketching in conceptual design. A Multilayer Perceptron (MLP) neural network is employed to construct 3D freeform surfaces from 2D freehand curves. Planar curves were used to represent the boundary strokes of a freeform surface patch and varied iteratively to produce a training set. Sampled curves were used to train and test the n...

Soft storey building is popular due to the functional and aesthetic purpose, despite its weakness in resisting seismic excitation. Nonlinear Static (Pushover) Analysis (POA) is a time saving and simple assessment procedure prosposed in Eurocode 8 (EC8). However, its reliability in designing structure still remains a question. At the first stage, seismic performance of several building models us...

Many papers have proposed elliptic curves which are faster and easier to implement than the NIST prime-order curves. Most of these curves have had fields of size around 2, and thus security estimates of around 128 bits. Recently there has been interest in a stronger curve, prompting designs such as Curve41417 and Microsoft’s pseudo-Mersenne-prime curves. Here I report on the design of another s...

We design signatures for curves defined on genus zero surfaces. The signature classifies curves according to the conformal geometry of the given curves and their embedded surface. Based on Teichmüller theory, our signature describes not only the curve shape but also the intrinsic relationship between the curve and its embedded surface. Furthermore, the signature metric is stable, it is close to...

This paper describes a method for learning statistical models of 2D curves, and shows how these models can be used to design line art rendering styles by example. A user can create a new style by providing an example of the style, e.g. by sketching a curve in a drawing program. Our method can then synthesize random new curves in this style, and modify existing curves to have the same style as t...

Lindenmayer Grammars have been applied frequently to represent fractal curves. In this work, the ideas behind Grammar Evolution are used to automatically generate and evolve Lindenmayer Grammars that represent fractal curves with a fractal dimension that approximates a pre-defined required value. For many dimensions, this is a non trivial task to be performed manually. The procedure we are prop...