Recently, there have been improvements on reconstruction of smooth B-spline surfaces of arbitrary topological type, but the most important problem of smoothly stitching B-spline surface patches (the continuity problem of B-spline surface patches) in surface reconstruction has not been solved in an effective way. Therefore, the motivation of this paper is to study how to better improve and control the continuity between adjacent B-spline surfaces.
In this paper, we present a local scheme of constructing convergent G1 smooth bicubic B-spline surface patches with single interior knots over a given arbitrary quad partition of a polygonal model. Unlike previous work which only produces (non-controllable) toleranced G1 smooth B-spline surfaces, our algorithm generates convergent G1 smooth B-spline surfaces, which means the continuity of the B-spline surfaces tends to G1 smoothness as the number of control points increases. The most important feature of our algorithm is, in the meaning of convergent approximation order, the ability to control the continuity of B-spline surfaces within the given tolerance and capture the geometric details presented by the given data points. 相似文献
This study analyzed the etiology of rank-order stability and change in personality over a time period of 13 years in order to explain cumulative continuity with age. NEO five-factor inventory self- and peer report data from 696 monozygotic and 387 dizygotic twin pairs reared together were analyzed using a combination of multiple-rater twin, latent state-trait, and autoregressive simplex models. Correcting for measurement error, this model disentangled genetic and environmental effects on long- and short-term convergent valid stability, on occasional influences, and on self- and peer report-specific stability. Genetic factors represented the main sources that contributed to phenotypic long-term stability of personality in young and middle adulthood, whereas change was predominantly attributable to environmental factors. Phenotypic continuity increased as a function of cumulative environmental effects, which became manifest in stable trait variance and decreasing occasion-specific effects with age. This study's findings suggest a complex interplay between genetic and environmental factors resulting in the typical patterns of continuity in personality across young and middle adulthood. (PsycINFO Database Record (c) 2010 APA, all rights reserved) 相似文献
We consider a linear control system containing a small positive parameter η in a part of the derivatives. It is shown that for every ε (0,1) the map: η → attainable set, is Lipschitz continuous with exponent . 相似文献
This paper presents a new method for generating a tangent-plane continuous (GC1) multisided surface with an arbitrary number of sides. The method generates piecewise biquintic tensor product Bézier patches which join each other with G1-continuity and which interpolate the given vector-valued first order cross-derivative functions along the boundary curves. The problem of the twist-compatibility of the surface patches at the center points is solved through the construction of normal-curvature continuous starlines and by the way the twists of surface patches are generated. This avoids the inter-relationship among the starlines and the twists of surface patches at the center points. The generation of the center points and the starlines has many degrees of freedom which can be used to modify and improve the quality of the resulting surface patches. The method can be used in various geometric modeling applications such as filling n-sided holes, smoothing vertices of polyhedral solids, blending multiple surfaces, and modeling surface over irregular polyhedral line and curve meshes. 相似文献
There are a number of ways of describing free-form surfaces within geometric modelling systems. For product styling and related activities, there is a need to ensure that surface quality is good and that patches join together smoothly. Additional parameters can be introduced to allow surfaces to be modified. This raises the question of whether these can be chosen automatically, and this in turn requires measures of what is a ‘fair’ surface. Measures based on surface curvature are discussed and applied to adjust surface patches presented in terms of point meshes. 相似文献