… The approach taken in this paper builds on the construction of guided surface rings (… of
nested surface rings xm is constructed that fills an n-sided hole in a C2 spline complex (…

… –111], we analyze surfaces arising as an infinite sequence of guided C2 surface rings. However,
… Joining an infinite sequence of spline rings yields a surface x with subdivision structure. …

… Thus this paper focuses on fitting a spline surface to a triangular mesh that is topologically …
existing surface fitting algorithms for enhancement to produce visually smooth spline surfaces …

… We present a class of surface constructions (T-splines with halfedge knots… guiding eld
structure, a compatible parametrization of this kind exists and a smooth piecewise rational surface …

… splines of moderate degree and (iii) the hole filling closely follows the shape of and replaces
a guide surface … To preserve the shape, the guided rings sample position and higher-order …

… Among the many approaches, implicit surface reconstruction … phase-field guided implicit
surface reconstruction method to … by a hierarchical B-spline whose zero level set approximates …

… of parametric surfaces. The major breakthroughs in CAGD were the theory of Bézier
curves and surfaces, later combined with B-spline methods. Bézier curves and surfaces were …

… guided T-spline (CGTS) skinning method for surface and solid generation of high quality,
which interpolates the given cross-sections. Guiding … Specifically, the guiding curves provide a …

… We recently derived an algorithm for generating C2 surfaces with sprocket layout consisting
of n splines of degree bi-5 and a finite polar C2 construction of degree (6,5) [61] (see Figure …

… and an irregular subdivision region following a (b) guide surface. The guide surface does
not match the bi-3 spline but defines the shape by joining polynomial pieces with curvature …