High-Pass Quantization for Mesh Encoding

dc.contributor.authorSorkine, Olgaen_US
dc.contributor.authorCohen-Or, Danielen_US
dc.contributor.authorToledo, Sivanen_US
dc.contributor.editorLeif Kobbelt and Peter Schroeder and Hugues Hoppeen_US
dc.date.accessioned2014-01-29T08:19:39Z
dc.date.available2014-01-29T08:19:39Z
dc.date.issued2003en_US
dc.description.abstractAny 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 "d-coordinates". We show that the high-frequency quantization errors in the d-coordinates are transformed into low-frequency errors when the quantized d-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 d-coordinates.en_US
dc.description.seriesinformationEurographics Symposium on Geometry Processingen_US
dc.identifier.isbn3-905673-06-1en_US
dc.identifier.issn1727-8384en_US
dc.identifier.urihttps://doi.org/10.2312/SGP/SGP03/042-051en_US
dc.publisherThe Eurographics Associationen_US
dc.subjectCategories and Subject Descriptors (according to ACM CCS): I.3.5 [Computer Graphics]: Computational Geometry and Object Modeling-curve, surface, solid and object representationsen_US
dc.titleHigh-Pass Quantization for Mesh Encodingen_US
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