SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Mesh reduction with error control
Proceedings of the 7th conference on Visualization '96
Simplifying surfaces with color and texture using quadric error metrics
Proceedings of the conference on Visualization '98
Symmetry Identification of a 3-D Object Represented by Octree
IEEE Transactions on Pattern Analysis and Machine Intelligence
Symmetry as a Continuous Feature
IEEE Transactions on Pattern Analysis and Machine Intelligence
Hierarchical mesh decomposition using fuzzy clustering and cuts
ACM SIGGRAPH 2003 Papers
Variational shape approximation
ACM SIGGRAPH 2004 Papers
Symmetry descriptors and 3D shape matching
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
ICCV '05 Proceedings of the Tenth IEEE International Conference on Computer Vision - Volume 2
A planar-reflective symmetry transform for 3D shapes
ACM SIGGRAPH 2006 Papers
Partial and approximate symmetry detection for 3D geometry
ACM SIGGRAPH 2006 Papers
IEEE Transactions on Computers
Quadric surface extraction by variational shape approximation
GMP'06 Proceedings of the 4th international conference on Geometric Modeling and Processing
Partial intrinsic reflectional symmetry of 3D shapes
ACM SIGGRAPH Asia 2009 papers
Global intrinsic symmetries of shapes
SGP '08 Proceedings of the Symposium on Geometry Processing
Water reflection recognition via minimizing reflection cost based on motion blur invariant moments
Proceedings of the 1st ACM International Conference on Multimedia Retrieval
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Variational mesh segmentation via quadric surface fitting
Computer-Aided Design
| Hi-index | 0.00 |
While existing methods for 3D surface approximation use local geometric properties, we propose that more intuitive results can be obtained by considering global shape properties such as symmetry. We modify the Variational Shape Approximation technique to consider the symmetries, near-symmetries, and partial symmetries of the input mesh. This has the effect of preserving and even enhancing symmetries in the output model, if doing so does not increase the error substantially. We demonstrate that using symmetry produces results that are more aesthetically appealing and correspond more closely to human expectations, especially when simplifying to very few polygons.