A concept for parametric surface fitting which avoids the parametrization problem
Computer Aided Geometric Design
A new and direct approach for loop subdivision surface fitting
Geometric modeling
Optimization methods for scattered data approximation with subdivision surfaces
Graphical Models - Solid modeling theory and applications
Modeling with multiresolution subdivision surfaces
ACM SIGGRAPH 2006 Courses
Optimization techniques for approximation with subdivision surfaces
SM '04 Proceedings of the ninth ACM symposium on Solid modeling and applications
Subdivision surfaces for CAD-an overview
Computer-Aided Design
Automatic reconstruction of B-spline surfaces with constrained boundaries
Computers and Industrial Engineering
Subdivision surfaces integrated in a CAD system
Computer-Aided Design
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Reverse engineering is an approach for reconstructing a computer model from physical object through dimensional measurement and surface modeling. Various mathematical models have be discussed for the representation of freeform surfaces in the context of reverse engineering applications. Most of the existing algorithms are, however, mainly developed for fitting isolated surfaces and one must smoothly connect these surfaces afterwards. This paper presents a procedure for simultaneously fitting smoothly connected multiple surfaces from point clouds with arbitrary topology. The final fitted surfaces are represented as Catmull-Clark surfaces, a network of smoothly connected bicubic B-spline surfaces with a finite number of B-spline subdivision surface patches next to extraordinary corner points. The final fitted surfaces are perfect G2 continuous across all surface boundaries except at a finite number of extraordinary points where G1 continuity is obtained. The algorithm is purely a linear least squares fitting procedure without any constraints.