G2 Continuity Algorithms between Adjacent NURBS Patches along Common Cubic Boundary Curve
نویسندگان
چکیده
منابع مشابه
Curvature continuity between adjacent rational Bézier patches
Zheng, J., G Wang and Y. Liang, Curvature continuity between adjacent rational B&ier patches, Computer Aided Geometric Design 9 (1992) 321-335. This paper discusses the cutvature continuity between two adjacent rational BCzier surfaces which may be rectangular or triangular patches. The necessary and sufficient conditions are derived, and further, a series of simple sufficient conditions are de...
متن کاملResearch on convexity-preserving of the weight factor of cubic NURBS interpolation curve
This paper mainly discusses the weight factor that influence on cubic NURBS interpolation curve shape. Based on the existing curve and surface interpolation, the thought, the criterion and the concrete steps of the convexity-preserving of the weight factor of cubic NURBS interpolation curve are provided, numerical examples are carried out by the computer simulation and the weights are controlle...
متن کاملConstruction of Cubic Triangular Patches with C Continuity around a Corner
This paper presents a novel approach for constructing a piecewise triangular cubic polynomial surface with C continuity around a common corner vertex. A C continuity condition between two cubic triangular patches is first derived using mixed directional derivatives. An approach for constructing a surface with C continuity around a corner is then developed. Our approach is easy and fast with the...
متن کاملCubic polynomial patches through geodesics
We consider patches that contain any given 3D polynomial curve as a pregeodesic (i.e. geodesic up to reparametrization). A curve is a pregeodesic if and only if its rectifying plane coincides with the tangent plane to the surface, we use this fact to construct ruled cubic patches through pregeodesics and bicubic patches through pairs of pregeodesics. We also discuss the G1 connection of (1, k) ...
متن کاملConstruction of Cubic Triangular Patches with 1 Continuity around a Corner
This paper presents a novel approach for constructing a piecewise triangular cubic polynomial surface with 1 continuity around a common corner vertex. A 1 continuity condition between two cubic triangular patches is first derived using mixed directional derivatives. An approach for constructing a surface with 1 continuity around a corner is then developed. Our approach is easy and fast with the...
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: Chinese Journal of Aeronautics
سال: 2003
ISSN: 1000-9361
DOI: 10.1016/s1000-9361(11)60191-x