Conditions for tangent plane continuity over recursively generated B-spline surfaces
ACM Transactions on Graphics (TOG)
Computer Aided Geometric Design
Analysis of Algorithms Generalizing B-Spline Subdivision
SIAM Journal on Numerical Analysis
Non-uniform recursive subdivision surfaces
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Curves and surfaces for CAGD: a practical guide
Curves and surfaces for CAGD: a practical guide
Subdivision Methods for Geometric Design: A Constructive Approach
Subdivision Methods for Geometric Design: A Constructive Approach
Eigenanalysis and Continuity of Non-Uniform Doo-Sabin Surfaces
PG '99 Proceedings of the 7th Pacific Conference on Computer Graphics and Applications
Extended subdivision surfaces: Building a bridge between NURBS and Catmull-Clark surfaces
ACM Transactions on Graphics (TOG)
Non-uniform subdivision for B-splines of arbitrary degree
Computer Aided Geometric Design
A symmetric, non-uniform, refine and smooth subdivision algorithm for general degree B-splines
Computer Aided Geometric Design
NURBS with extraordinary points: high-degree, non-uniform, rational subdivision schemes
ACM SIGGRAPH 2009 papers
Dinus: Double insertion, nonuniform, stationary subdivision surfaces
ACM Transactions on Graphics (TOG)
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We investigate univariate and bivariate binary subdivision schemes based on cubic B-splines with double knots. It turns out that double knots change the behaviour of a uniform cubic scheme from primal to dual. We focus on the analysis of new bivariate cubic schemes with double knots at extraordinary points. These cubic schemes produce C^1 surfaces with the original Doo-Sabin weights.