G2 Continuity Algorithms between Adjacent NURBS Patches along Common Cubic Boundary Curve

Non-uniform rational B-spline (NURBS) curves and surfaces are becoming increasingly widespread. The author have explored G1 continuity condition between adjacent NURBS surface patches along common cubic boundary curve. On the basis of the research performed, this paper presents a G2 continuity condition between adjacent NURBS patches along common cubic boundary curve and deduces a specific algorithm for control points and weights of NURBS patch. For making another NURBS patch and one given NURBS patch to attain G2, according to algorithm condition, one can adjust another patch control points and weights. It is much more convenient for engineers to apply.