Smooth Geometry Images

Losasso, F.; Hoppe, H.; Schaefer, S.; Warren, J.

Smooth Geometry Images

Files

138-145.pdf (13.55 MB)

Date

2003

Authors

Losasso, F.
Hoppe, H.
Schaefer, S.
Warren, J.

Publisher

The Eurographics Association

Abstract

Previous parametric representations of smooth genus-zero surfaces require a collection of abutting patches (e.g. splines, NURBS, recursively subdivided polygons). We introduce a simple construction for these surfaces using a single uniform bi-cubic B-spline. Due to its tensor-product structure, the spline control points are conveniently stored as a geometry image with simple boundary symmetries. The bicubic surface is evaluated using subdivision, and the regular structure of the geometry image makes this computation ideally suited for graphics hardware. Specifically, we let the fragment shader pipeline perform subdivision by applying a sequence of masks (splitting, averaging, limit, and tangent) uniformly to the geometry image. We then extend this scheme to provide smooth level-of-detail transitions from a subsampled base octahedron all the way to a finely subdivided, smooth model. Finally, we show how the framework easily supports scalar displacement mapping.

        @inproceedings{:10.2312/SGP/SGP03/138-145
,
booktitle = {Eurographics Symposium on Geometry Processing
},
editor = {Leif Kobbelt and Peter Schroeder and Hugues Hoppe
},
title = {{Smooth Geometry Images
}},
author = {Losasso, F. and 
Hoppe, H. and 
Schaefer, S. and 
Warren, J.
},
year = {2003
},
publisher = {The Eurographics Association
},
ISSN = {1727-8384
},
ISBN = {3-905673-06-1
},
DOI = {/10.2312/SGP/SGP03/138-145
}
}