Reducing the number of wavelet coefficients by geometric partitioning

Authors
Citation
P. Gioia, Reducing the number of wavelet coefficients by geometric partitioning, COMP GEOM, 14(1-3), 1999, pp. 25-48
Citations number
20
Categorie Soggetti
Engineering Mathematics
Journal title
COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS
ISSN journal
09257721 → ACNP
Volume
14
Issue
1-3
Year of publication
1999
Pages
25 - 48
Database
ISI
SICI code
0925-7721(199911)14:1-3<25:RTNOWC>2.0.ZU;2-G
Abstract
With the growing interest toward Internet-based graphic applications, the d esign of a scalable mesh compression scheme has become a key issue. Using t he multi-scale transformation theory introduced by Lounsbery et al. (1997) along with the parameterization techniques of Eck et al. (1995) provides an elegant theoretical framework for producing-compact multi-scale representa tions of surfaces. However, this approach fails to provide good compression , and: geometric faithfulness in all cases. To solve this problem, we propo se a three-step method enabling efficient scalable compression of arbitrary mesh with faithful representations at any level of detail: a partitioning stage along with a triangulation enable the production of:a base mesh which preserves the geometry of the model. Then an adaptive parameterization is constructed over this base mesh. (C) 1999 Elsevier Science B.V. AU rights r eserved.