The Homogeneous Representation of Quadratic Rational Bezier Curve and NURBS.
نویسندگان
چکیده
منابع مشابه
Hausdorff Distance between the Offset Curve of Quadratic Bezier Curve and Its Quadratic Approximation
In this paper, we present the exact Hausdorff distance between the offset curve of quadratic Bézier curve and its quadratic GC1 approximation. To illustrate the formula for the Hausdorff distance, we give an example of the quadratic GC1 approximation of the offset curve of a quadratic Bézier curve. 1. Preliminaries Quadratic Bézier curves and their offset curves are widely used in CAD/CAM or Co...
متن کاملAn Improved Algorithm for the Approximation of a Cubic Bezier Curve and its Application for Approximating Quadratic Bezier Curve
In this paper an improved version of an earlier proposed algorithm for approximating cubic Bezier curve by a set of circular arcs is presented. It is investigated how the improved algorithm fits for approximation of quadratic Bezier curves. These issues occur in CAD/CAM systems during data exchange into data formats which do not support Bezier curves. Experimental results on examples, widely us...
متن کاملheterogeneity within the orientalist discourse: representation of the orient in womens travelogues and mens paintings
from 1950s onward, new theories and critical approaches burgeoned across humanities. these theories were context-oriented; as a result, the analysis of discursive practices gained significance. thus, social, political, historical and cultural discourses that have been hitherto marginalized and considered inferior to literary texts, were introduced as important texts to be analyzed by critics. o...
Rational Bezier Simplices
A gr'oup-theor'etic analysis is applied to find th e transf01'11wtion of the homogeneous control points of kdim ensional B ezier simplices {such as two dim ensional triangles and three dim ensional tetrah edra} under' a kdim ensional projec tive reparam eterization, This transf ormation has applications in the perspec tive projec ti on of textur'es represented as triangular spline intensity sur...
متن کاملThe Rational Quadratic Trigonometric Bézier Curve with Two Shape Parameters
A rational quadratic trigonometric Bézier curve with two shape parameters, which is analogous to cubic Bézier curve, is presented in this paper. The shape of the curve can be adjusted as desired, by simply altering the value of shape parameters, without changing the control polygon. The rational quadratic trigonometric Bézier curve can be made close to the rational cubic Bézier curve or closer ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of the Japan Society for Precision Engineering
سال: 1997
ISSN: 1882-675X,0912-0289
DOI: 10.2493/jjspe.63.504