Polyhedral subdivision methods for free-form surfaces
ACM Transactions on Graphics (TOG)
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Efficient, fair interpolation using Catmull-Clark surfaces
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
Piecewise smooth surface reconstruction
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Surface simplification using quadric error metrics
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
Subdivision surfaces in character animation
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Exact evaluation of Catmull-Clark subdivision surfaces at arbitrary parameter values
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Proceedings of the conference on Visualization '01
Catmull-Clark Surface Fitting for Reverse Engineering Applications
GMP '00 Proceedings of the Geometric Modeling and Processing 2000
Subdivision Surface Fitting to a Range of Points
PG '99 Proceedings of the 7th Pacific Conference on Computer Graphics and Applications
PG '00 Proceedings of the 8th Pacific Conference on Computer Graphics and Applications
Hi-index | 0.00 |
This chapter presents a new and direct approach for Loop subdivision surface fitting from a dense triangular mesh with arbitrary topology. The initial mesh model is first simplified with a topology-and feature-preserving mesh decimation algorithm. The simplified mesh is further used as the topological model of a Loop subdivision surface. The control vertices of the subdivision surface are finally fitted from a subset of vertices of the original dense mesh. During the fitting process, both the subdivision rules and position masks are used for setting up the observation equations. The emphasis of this chapter is on fitting issues. While only the Loop subdivision scheme is discussed in this chapter, the approach is applicable to any stationery subdivision scheme.