A Novel Loop Subdivision for Continuity Surface

This paper introduces a novel Loop subdivision method, which produces a C1 continuity surface including boundaries and creases. The new rules develop Loop subdivision surface by adding a parameter known as a knot interval. Sederberg et al. used knot intervals for sharp features in subdivision surface modeling for the first time. This paper extends the subdivision rule to triangular subdivision meshes. It can generate a pleasant result in Loop subdivision surfaces.

[1]  Fuyuan Hu,et al.  Vibration Analysis of Bilayered Graphene Sheets for Building Materials in Thermal Environments Based on the Element-Free Method , 2018 .

[2]  Malcolm A. Sabin,et al.  Non-uniform recursive subdivision surfaces , 1998, SIGGRAPH.

[3]  Ming Xu,et al.  Strathprints Institutional Repository (2008) Real-time Modeling of 3-d Soccer Ball Trajectories from Multiple Fixed Cameras. Ieee Transactions on Circuits and Systems for Video Technology, 18 (3). Pp. 350-362. Issn 1051-8215 , 2022 .

[4]  Charles T. Loop,et al.  Smooth Subdivision Surfaces Based on Triangles , 1987 .

[5]  E. Catmull,et al.  Recursively generated B-spline surfaces on arbitrary topological meshes , 1978 .

[6]  Tony DeRose,et al.  Piecewise smooth surface reconstruction , 1994, SIGGRAPH.

[7]  Tony DeRose,et al.  Subdivision surfaces in character animation , 1998, SIGGRAPH.

[8]  Bobby Bodenheimer,et al.  Synthesis and evaluation of linear motion transitions , 2008, TOGS.

[9]  Carol O'Sullivan,et al.  Automatic linearization of nonlinear skinning , 2009, I3D '09.

[10]  Charles T. Loop,et al.  Approximating Catmull-Clark subdivision surfaces with bicubic patches , 2008, TOGS.

[11]  Zhengtian Wu,et al.  Solving Multiple Fleet Airline Disruption Problems Using a Distributed-Computation Approach to Integer Programming , 2017, IEEE Access.

[12]  Henning Biermann,et al.  Piecewise smooth subdivision surfaces with normal control , 2000, SIGGRAPH.

[13]  Nira Dyn,et al.  Using parameters to increase smoothness of curves and surfaces generated by subdivision , 1990, Comput. Aided Geom. Des..

[14]  Jiangbin Zheng,et al.  Effective Removal of Artifacts from Views Synthesized using Depth Image Based Rendering , 2015, DMS.

[15]  Jinchang Ren,et al.  Object-Based 2D-to-3D Video Conversion for Effective Stereoscopic Content Generation in 3D-TV Applications , 2011, IEEE Transactions on Broadcasting.

[16]  Sen Wang,et al.  Multiple Depth Maps Integration for 3D Reconstruction Using Geodesic Graph Cuts , 2015, Int. J. Softw. Eng. Knowl. Eng..

[17]  Zhengtian Wu,et al.  Solving long haul airline disruption problem caused by groundings using a distributed fixed-point computational approach to integer programming , 2017, Neurocomputing.

[18]  M. Sabin,et al.  Behaviour of recursive division surfaces near extraordinary points , 1978 .

[19]  George Merrill Chaikin,et al.  An algorithm for high-speed curve generation , 1974, Comput. Graph. Image Process..

[20]  Peter Schröder,et al.  Interactive multiresolution mesh editing , 1997, SIGGRAPH.

[21]  Mechanical analysis of double-layered circular graphene sheets as building material embedded in an elastic medium , 2017 .

[22]  Jean Schweitzer,et al.  Analysis and application of subdivision surfaces , 1996 .

[23]  Joe D. Warren,et al.  Subdivision Schemes for Thin Plate Splines , 1998, Comput. Graph. Forum.

[24]  F. Cirak,et al.  A subdivision-based implementation of the hierarchical b-spline finite element method , 2013 .

[25]  D. Zorin.  Stationary Subdivision and Multiresolution Surface Representations , 1997 .

[26]  Ming Xu,et al.  Multi-camera video surveillance for real-time analysis and reconstruction of soccer games , 2010, Machine Vision and Applications.

[27]  N. Dyn,et al.  A butterfly subdivision scheme for surface interpolation with tension control , 1990, TOGS.