| Parameterization transition for guided c 2 surfaces of low degree (2009) | |||||||||||||||
Abstract | |||||||||||||||
| Abstract. By separating shape design from representation, the guided approach to surface construction [KP07] allows to routinely construct everywhere C 2 surfaces with (infinite) subdivision structure. This paper shows a finite guided C 2 surface construction of degree (6,6), albeit with many pieces, that preserves the good algebraic properties of the construction of kth order smooth surfaces of least degree in [Pet02], while avoiding geometric degeneration. The paper describes the construction of a n-sided piecewise polynomial surface piece suitable for completing a C 2 tensor-product surface where n pairwise-joined primary surfaces join. For example, the piece fills an n-sided hole in a tensor-product spline surface (Fig. 11). The result is | |||||||||||||||
Details der Publikation | |||||||||||||||
| |||||||||||||||