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CGI
1998
IEEE
15 years 2 months ago
Improved Triangular Subdivision Schemes
In this article we improve the butterfly and Loop's algorithm. As a result we obtain subdivision algorithms for triangular nets which can be used to generate G1- and G2surfac...
Hartmut Prautzsch, Georg Umlauf
PG
2000
IEEE
15 years 2 months ago
A New Paradigm for Changing Topology during Subdivision Modeling
In this paper, we present a new paradigm that allows dynamically changing the topology of 2-manifold polygonal meshes. Our new paradigm always guarantees topological consistency o...
Ergun Akleman, Vinod Srinivasan, Jianer Chen
COMPUTING
2007
127views more  COMPUTING 2007»
14 years 9 months ago
Analyzing a generalized Loop subdivision scheme
In this paper a class of subdivision schemes generalizing the algorithm of Loop is presented. The stencils have the same support as those from the algorithm of Loop, but allow a v...
Ingo Ginkel, Georg Umlauf
GMP
2006
IEEE
107views Solid Modeling» more  GMP 2006»
15 years 3 months ago
A New Class of Non-stationary Interpolatory Subdivision Schemes Based on Exponential Polynomials
We present a new class of non-stationary, interpolatory subdivision schemes that can exactly reconstruct parametric surfaces including exponential polynomials. The subdivision rule...
Yoo-Joo Choi, Yeon Ju Lee, Jungho Yoon, Byung-Gook...
TOG
2012
215views Communications» more  TOG 2012»
13 years 5 days ago
Dual loops meshing: quality quad layouts on manifolds
We present a theoretical framework and practical method for the automatic construction of simple, all-quadrilateral patch layouts on manifold surfaces. The resulting layouts are c...
Marcel Campen, David Bommes, Leif Kobbelt