A constrained optimization approach to finite element mesh smoothing
Finite Elements in Analysis and Design
Surface reconstruction from unorganized points
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Optismoothing: an optimization-driven approach to mesh smoothing
Finite Elements in Analysis and Design - Special issue—Robert J. Melosh medal competition
Structured mesh adaption: space accuracy and interpolation methods
Computer Methods in Applied Mechanics and Engineering - Special issue on reliability in computational mechanics
Bubble mesh: automated triangular meshing of non-manifold geometry by sphere packing
SMA '95 Proceedings of the third ACM symposium on Solid modeling and applications
Construction of three-dimensional improved-quality triangulations using local transformations
SIAM Journal on Scientific Computing
Optimal point placement for mesh smoothing
Journal of Algorithms
Proceedings of the sixth ACM symposium on Solid modeling and applications
Reconstruction and representation of 3D objects with radial basis functions
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
SMA '97 Proceedings of the 1997 International Conference on Shape Modeling and Applications (SMA '97)
Radial Basis Functions
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In this paper, we present a novel simple method, based on an implementation of space mapping technique, for improvement of the quality of tetrahedral and hexahedral meshes. The same approach is used for surface meshes where geometry of the initial surface mesh is preserved by a local mesh improvement such that new positions of the interior nodes of the mesh remain on the original discrete surface. The proposed method can be used in the pre-processing stage for subsequent studies (finite element analysis, computer graphics, etc.) by providing better input parameters for these processes. Experimental results are included to demonstrate the functionality of our method.