Based on B-spline wavelets, the present work proposes the concept of fairness degree for the first time, via which a quantitative criterion is established to evaluate the fairness of curves and surfaces. Further, a ne...
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Based on B-spline wavelets, the present work proposes the concept of fairness degree for the first time, via which a quantitative criterion is established to evaluate the fairness of curves and surfaces. Further, a new fairing algorithm is presented for B-spline curves. Finally, the effectiveness and efficiency of our approach are demonstrated by several examples. (C) 2014 Elsevier Inc. All rights reserved.
Triangular B-splines are powerful and flexible in modeling a broader class of geometric objects defined over arbitrary, non-rectangular domains. Despite their great potential and advantages in theory, practical techni...
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Triangular B-splines are powerful and flexible in modeling a broader class of geometric objects defined over arbitrary, non-rectangular domains. Despite their great potential and advantages in theory, practical techniques and computational tools with triangular B-splines are less-developed. This is mainly because users have to handle a large number of irregularly distributed control points over arbitrary triangulation. In this paper, an automatic and efficient method is proposed to generate visually pleasing, high-quality triangular B-splines of arbitrary topology. The experimental results on several real datasets show that triangular B-splines are powerful and effective in both theory and practice.
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