Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Extended free-form deformation: a sculpturing tool for 3D geometric modeling
SIGGRAPH '90 Proceedings of the 17th annual conference on Computer graphics and interactive techniques
A variational approach to subdivision
Computer Aided Geometric Design
A survey of free-form object representation and recognition techniques
Computer Vision and Image Understanding
Dynamic real-time deformations using space & time adaptive sampling
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Shape Interrogation for Computer Aided Design and Manufacturing
Shape Interrogation for Computer Aided Design and Manufacturing
Dynamic Free-Form Deformations for Animation Synthesis
IEEE Transactions on Visualization and Computer Graphics
Scattered Data Interpolation with Multilevel B-Splines
IEEE Transactions on Visualization and Computer Graphics
Direct reconstruction of a displaced subdivision surface from unorganized points
Graphical Models - Pacific graphics 2001
Design of solids with free-form surfaces
SIGGRAPH '83 Proceedings of the 10th annual conference on Computer graphics and interactive techniques
Subdivision Surface Fitting to a Range of Points
PG '99 Proceedings of the 7th Pacific Conference on Computer Graphics and Applications
Efficient updates of bounding sphere hierarchies for geometrically deformable models
Journal of Visual Communication and Image Representation
2D Shape Matching by Contour Flexibility
IEEE Transactions on Pattern Analysis and Machine Intelligence
Conditional matching preclusion sets
Information Sciences: an International Journal
Chaos & Graphics: A recursive subdivision scheme for isosurface construction
Computers and Graphics
Distortion-free predictive streaming time-series matching
Information Sciences: an International Journal
From theoretical graphic objects to real free-form solids
Information Sciences: an International Journal
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A deformation technique is a method to deform any part of, or an entire object, into a desired shape. Existing deformation methods take a lot of computational cost to represent smoothness correctly due to the constraints caused by differential coefficients of high degree. Thus, it is very difficult to find a general solution. In this paper we propose a LSM (layered subdivision method) that integrates a controlling mechanism, surface deformation, and mesh refinement processing 3D modeling and free-form deformable object matching. The proposed method is considerably more efficient and robust when compared to the existing method of free-form surface, because of the computation of the reference points of deformation edge using geometry of free-form surface. This approach can be applied to automatic inspection of NURBS models and object recognition.