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multiresolution editing

Multiresolution editing is a geometric modeling technique in computer graphics that allows users to modify digital surfaces, such as polygonal meshes, across different levels of geometric detail. In this approach, a complex shape is decomposed into a hierarchical representation consisting of a simplified base structure and multi-level detail displacements. This allows broad, global deformations to be performed efficiently on a coarse version of the model while automatically preserving and reconstructing high-frequency surface features, such as fine textures, creases, or local bumps. Conversely, it also allows targeted adjustments to be made to fine-scale details without unintentionally distorting the overarching global shape of the object.

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Multiresolution analysis of arbitrary meshes

Multiresolution analysis of arbitrary meshes

Matthias Eck, Tony DeRose, Tom Duchamp, Hugues Hoppe, Michael Lounsbery, Werner Stuetzle

OrganizationsAlias|WavefrontMicrosoftUniversity of Washington

Why you should read this

Presents a remeshing algorithm using harmonic maps to convert arbitrary triangular meshes into subdivision connectivity surfaces with bounded error, enabling wavelet-based multiresolution compression, level-of-detail rendering, and multiscale editing.

In computer graphics and geometric modeling, shapes are often represented by triangular meshes. With the advent of laser scanning systems, meshes of extreme complexity are rapidly becoming commonplace. Such meshes are notoriously expensive to store, transmit, render, and are awkward to edit. Multiresolution analysis offers a simple, unified, and theoretically sound approach to dealing with these problems. Lounsbery et al. have recently developed a technique for creating multiresolution representations for a restricted class of meshes with subdivision connectivity. Unfortunately, meshes encountered in practice typically do not meet this requirement. In this paper we present a method for overcoming the subdivision connectivity restriction, meaning that completely arbitrary meshes can now be converted to multiresolution form. The method is based on the approximation of an arbitrary initial mesh M by a mesh M^j that has subdivision connectivity and is guaranteed to be within a specified tolerance. The key ingredient of our algorithm is the construction of a parametrization of M over a simple domain. We expect this parametrization to be of use in other contexts, such as texture mapping or the approximation of complex meshes by NURBS patches.

Added

2026-09-25