Multiresolution analysis of arbitrary meshes
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Multiresolution analysis for surfaces of arbitrary topological type
ACM Transactions on Graphics (TOG)
Surface simplification using quadric error metrics
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
MAPS: multiresolution adaptive parameterization of surfaces
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Wavelets for computer graphics: theory and applications
Wavelets for computer graphics: theory and applications
Combined subdivision schemes for the design of surfaces satisfying boundary conditions
Computer Aided Geometric Design
Displaced subdivision surfaces
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Quadric-based polygonal surface simplification
Quadric-based polygonal surface simplification
Triangular mesh offset for generalized cutter
Computer-Aided Design
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In this paper, we present a remeshing algorithm using the recursive subdivision of irregular meshes with boundaries. A mesh remeshed by subdivision has several advantages. It has a topological regularity, which enables it to be used as a multiresolution model and to represent an original model with less data. Topological regularity is essential for the multiresolutional analysis of the given meshes and makes additional topological information unnecessary. Moreover, we use a normal mesh to reduce the geometric data size requirements at each resolution level of the regularized meshes. The normal mesh uses one scalar value, i.e. normal offset as wavelet, to represent a vertex position, while the other remeshing schemes use one three-dimensional vector at each vertex. The normal offset is a normal distance from a base face, which is the simplified original mesh. Since the normal offset cannot be properly used for the boundaries of a mesh, we use a combined subdivision scheme that resolves the problem of the proposed normal offset method at the boundaries. Finally, we show examples that demonstrate the effectiveness of the proposed scheme in terms of reducing the data requirements of mesh models.