SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
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SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Geometric compression through topological surgery
ACM Transactions on Graphics (TOG)
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Spectral compression of mesh geometry
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
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Vertex Data Compression through Vector Quantization
IEEE Transactions on Visualization and Computer Graphics
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SMI '03 Proceedings of the Shape Modeling International 2003
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SMI '01 Proceedings of the International Conference on Shape Modeling & Applications
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ACM SIGGRAPH 2004 Papers
Variational shape approximation
ACM SIGGRAPH 2004 Papers
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IEEE Transactions on Visualization and Computer Graphics
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ABF++: fast and robust angle based flattening
ACM Transactions on Graphics (TOG)
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Algebraic analysis of high-pass quantization
ACM Transactions on Graphics (TOG)
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ACM SIGGRAPH 2006 Courses
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Discrete quadratic curvature energies
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IEEE Transactions on Visualization and Computer Graphics
ACM SIGGRAPH 2008 papers
Robust and scalable transmission of arbitrary 3D models over wireless networks
Journal on Image and Video Processing - 3D Image and Video Processing
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BPM '09 Proceedings of the 7th International Conference on Business Process Management
An efficient bit allocation for compressing normal meshes with an error-driven quantization
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ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
Mesh-based morphing method for rapid hull form generation
Computer-Aided Design
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ISVC'10 Proceedings of the 6th international conference on Advances in visual computing - Volume Part I
Modeling smooth shape using subdivision on differential coordinates
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Partial differential equations for interpolation and compression of surfaces
MMCS'08 Proceedings of the 7th international conference on Mathematical Methods for Curves and Surfaces
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MMCS'08 Proceedings of the 7th international conference on Mathematical Methods for Curves and Surfaces
Design of self-supporting surfaces
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
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Surface- and volume-based techniques for shape modeling and analysis
SIGGRAPH Asia 2013 Courses
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Any quantization introduces errors. An important question is how to suppress their visual effect. In this paper we present a new quantization method for the geometry of 3D meshes, which enables aggressive quantization without significant loss of visual quality. Conventionally, quantization is applied directly to the 3-space coordinates. This form of quantization introduces high-frequency errors into the model. Since high-frequency errors modify the appearance of the surface, they are highly noticeable, and commonly, this form of quantization must be done conservatively to preserve the precision of the coordinates. Our method first multiplies the coordinates by the Laplacian matrix of the mesh and quantizes the transformed coordinates which we call "δ-coordinates". We show that the high-frequency quantization errors in the δ-coordinates are transformed into low-frequency errors when the quantized δ-coordinates are transformed back into standard Cartesian coordinates. These low-frequency errors in the model are much less noticeable than the high-frequency errors. We call our strategy high-pass quantization, to emphasize the fact that it tends to concentrate the quantization error at the low-frequency end of the spectrum. To allow some control over the shape and magnitude of the low-frequency quantization errors, we extend the Laplacian matrix by adding a number of spatial constraints. This enables us to tailor the quantization process to specific visual requirements, and to strongly quantize the δ-coordinates.