Abstract: Joining two or more curve segments together forms a continuous composite curve. We start the discussion of composite curves and their continuity by investigating how to blend a new curve between two or more existing curves, forming a composite curve consisting of two or more curve segments together. In geometric modeling, curves are joined with smooth transitions at the junction. When joining two or more curves, the end points must coincide. In order to maintain smoothness, their first n parametric derivatives must be equal at that point and this will create a condition of continuity called n^th-order parametric continuity. In this paper conditions for smooth connection of interval Bezier curve segments are presented. The conditions for joining two or more interval Bezier curve segments at a common point are converted into the conditions for smooth connections of the four fixed Kharitonov's polynomials (four fixed Bezier curves) associated with the first interval Bezier curve with the corresponding four fixed Kharitonov's polynomials (four fixed Bezier curves) associated with the second interval Bezier curve at common points a_(n,n)^j=ß_(0,n)^j for j=1,2,3,4. Finally, the interval control points of the second interval Bezier curve are obtained from conditions for smooth connections of the four fixed Kharitonov's polynomials (four fixed Bezier curves) associated with the first interval Bezier curve with the corresponding four fixed Kharitonov's polynomials (four fixed Bezier curves) associated with the second interval Bezier curve. A numerical example is included in order to demonstrate the effectiveness of the proposed method.

Abstract: In the era of Information Technology, openness of the information is a major concern. As the confidentiality and integrity of the information is critically important, it has to be secured from unauthorized access. Traditional security and identification are not sufficient enough; people need to find a new authentic system based on behavioral & physiological characteristics of person which is called as Biometric. Palm print recognition gives several advantages over the other biometrics such as low resolution, low cost, non-intrusiveness and stable structure features. Now a days Palm print based personal verification system is used in many security application due to its ease of acquisition, high user acceptance and reliability. Various approaches which deal with palm recognition are texture approach, line approach and appearance approach. By using texture approach it is possible to obtain texture sample with low resolution and texture is much more stable as compare to line and appearance. This paper is aimed to analyze the performance of palm print recognition systems using Contourlet features and for dimension reduction PCA is used.