Feature-Preserving Triangular Geometry Images for Level-of-Detail Representation of Static and Skinned Meshes

ACM Transactions on Graphics 29(2), Article 11, Presented at SIGGRAPH 2010.

Geometry images resample meshes to represent them as texture for efficien GPU processing by forcing a regular parameterization that often incurs a large amount of distortion. Previous approaches broke the geometry image into multiple rectangular or irregular charts to reduce distortion, but complicated the automatic level of detail one gets from MIP-maps of the geometry image.

We introduce triangular-chart geometry images and show this new approach better supports the GPU-side representation and display of skinned dynamic meshes, with support for feature preservation, bounding volumes and view-dependent level of detail. Triangular charts pack efficiently, simplify the elimination of T-junctions, arise naturally from an edge-collapse simplification base mesh, and layout more flexibly to allow their edges to follow curvilinear mesh features. To support the construction and application of triangular-chart geometry images, this paper introduces a new spectral clustering method for feature detection, and new methods for incorporating skinning weights and skinned bounding boxes into the representation. This results in a ten-fold improvement in fidelity when compared to quadchart geometry images.

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