This paper describes the design and implementation of a ROM-Less Direct Digital Frequency Synthesizer (DDS) using Bezier curve approximation. With Bezier curve approximation, phase values between 0 to π are mapped to sine amplitudes. Then, half wave symmetry of sine wave is exploited to construct full sine wave. The proposed approximation introduces maximum error of 7.9×10, which is equivalent ...

Presented paper describes the method for finding the intersection of class space rational Bezier curves. The problem curve/curve intersection belongs among basic geometric problems and the aim of this article is to describe the new technique to solve the problem using relief perspective and Bezier clipping.

In this paper, the smooth path planning problem is considered for a mobile robot based on the genetic algorithm and the Bezier curve. The workspace of a mobile robot is described by a new grid-based representation (2 × 2n grids) that facilitates the operations of the adopted genetic algorithm. The chromosome of the genetic algorithm is composed of a sequence of binary numbered grids (i.e., cont...

In this paper, we develop a new hybrid curve fitting model using fuzzy set and rough set theory. The developed method differs from classical curve fitting techniques and algorithms. For produced rule sets of model to create by using fuzzy logic technique and the membership functions of input and output functions, the range of membership functions and the relations between membership functions i...

Bezier curves (BC) have become fundamental tools in many challenging and varied applications, ranging from computer aided geometric design to generic object shape descriptors. A major limitation of the classical Bezier curve however, is that only global information about its control points (CP) is considered, so there can often be a large gap between the curve and its control polygon, leading t...