Formulations of composite parametric cubic curves and circle approximations
نویسنده
چکیده
The parametric cubic curve is a well-developed subject in the field of computer-aided design. Yet there are still some aspects of its nature that need to be more fully investigated. In this paper, formulations of composite PC curves are presented in an order of increasing rigorousness and order of accuracy. A unique PC curve formulation is developed for the practical use in circle approximation. This PC curve has a 3rd-order accuracy and merits of simplicity and ease of use. Copyright
منابع مشابه
An Optimal G^2-Hermite Interpolation by Rational Cubic Bézier Curves
In this paper, we study a geometric G^2 Hermite interpolation by planar rational cubic Bézier curves. Two data points, two tangent vectors and two signed curvatures interpolated per each rational segment. We give the necessary and the sufficient intrinsic geometric conditions for two C^2 parametric curves to be connected with G2 continuity. Locally, the free parameters w...
متن کاملWind Turbine Power Curve Modeling Using Parametric Approach
Abstract: In recent years, due to the limitation of fossil fuels and the environmental Impact of using these fuels, focusing on renewable energy sources has increased significantly. In developed countries, using clean energy such as wind power has been considered as an alternative source. Monitoring the performance of wind turbines and controlling their output power quality is one of the import...
متن کاملHigh order approximation of rational curves by polynomial curves
We show that many rational parametric curves can be interpolated, in a Hermite sense, by polynomial curves whose degree, relative to the number of data being interpolated, is lower than usual. The construction unifies and generalizes the families of circle and conic approximations of Lyche and Mørken and the author in which the approximation order is twice the degree of the polynomial.
متن کاملComputational Techniques for Parametric Curves and Surfaces
Parametric curves and surfaces have b e en with us for a long time, and their use for object mode ling in Computer Graphics (as opposed to designing in CAD a pplica tions ) is still growing. There is sometimes. however, a r elucta nce t o use them because i t seems that the added power they give is more than otIse t by the complexity of their formulations and their computat.ions. The purpose of...
متن کاملA tracing method for parametric Bezier triangular surface/plane intersection
Surface/plane intersection problem is a special case of surface/surface intersection, and is an active area of research across many disciplines in computer-aided geometric design. This paper presents, in general the setting of derivational continuities, (i.e. C, C, and C), a surface/plane intersection algorithm for parametric Bézier triangular surface over triangular domain. The present algorit...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Computer-Aided Design
دوره 28 شماره
صفحات -
تاریخ انتشار 1996