SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
A survey of moment-based techniques for unoccluded object representation and recognition
CVGIP: Graphical Models and Image Processing
Mesh reduction with error control
Proceedings of the 7th conference on Visualization '96
Fast and memory efficient polygonal simplification
Proceedings of the conference on Visualization '98
Topology-reducing surface simplification using a discrete solid representation
ACM Transactions on Graphics (TOG)
Mesh Approximation Using a Volume-Based Metric
PG '99 Proceedings of the 7th Pacific Conference on Computer Graphics and Applications
QEM-based mesh simplification with global geometry features preserved
Proceedings of the 2nd international conference on Computer graphics and interactive techniques in Australasia and South East Asia
Fast Decimation of Polygonal Models
ISVC '08 Proceedings of the 4th International Symposium on Advances in Visual Computing
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Mesh simplification is an important research topic in scientific visualization and virtual reality. The simplification metric is a key issue of a simplification algorithm. In this study, two new simplification metrics based on surface moments and volume moments are proposed, and they take the difference between the moments defined by the original mesh and those of the simplified mesh as the objective function. These metrics were used in an edge collapse scheme in order to prove their usability in the mesh simplification procedure. For a given maximum order and the number of triangles required, the optimal mesh with a minimum moment difference from the original mesh can be determined. The procedures are applied to some models and better results are obtained in comparison with some known algorithms.