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Surface reconstruction from unorganized points
TLDR
A general method for automatic reconstruction of accurate, concise, piecewise smooth surfaces from unorganized 3D points that is able to automatically infer the topological type of the surface, its geometry, and the presence and location of features such as boundaries, creases, and corners.
Multiresolution analysis of arbitrary meshes
TLDR
A method for overcoming the subdivision connectivity restriction, meaning that completely arbitrary meshes can now be converted to multiresolution form, is presented, based on the approximation of an arbitrary initial mesh M by a mesh MJ that has subdivision connectivity and is guaranteed to be within a specified tolerance.
Wavelets for computer graphics - theory and applications
TLDR
HAAR: The Simplest Wavelet Basis is presented and the theory of Multiresolution Analysis is explained.
Multiresolution analysis for surfaces of arbitrary topological type
TLDR
Whereas previous two-dimensional methods were restricted to functions difined on R2, the subdivision wavelets developed here may be applied to functions defined on compact surfaces of arbitrary topological type.
Toolglass and magic lenses: the see-through interface
TLDR
Toolglass™ widgets are new user interface tools that can appear, as though on a transparent sheet of glass, between an application and a traditional cursor, and form a see-through interface that offers many advantages over traditional controls.
Piecewise smooth surface reconstruction
TLDR
A key ingredient in the method, and a principal contribution of this paper, is the introduction of a new class of piecewise smooth surface representations based on subdivision that can be fit to scattered range data using an unconstrained optimization procedure.
Efficient, fair interpolation using Catmull-Clark surfaces
TLDR
An e‐cient method for constructing a smooth surface that interpolates the vertices of a mesh of arbitrary topological type that improves on existing interpolation techniques in that it is fast, robust and general.
Mesh optimization
TLDR
It is shown that mesh optimization can be effectively used in at least two applications: surface reconstruction from unorganized points, and mesh simplification (the reduction of the number of vertices in an initially dense mesh of triangles).
Harmonic coordinates for character articulation
TLDR
It is shown that harmonic coordinates are the first system of generalized barycentric coordinates that are non-negative even in strongly concave situations, and their magnitude falls off with distance as measured within the cage.
Kernel-predicting convolutional networks for denoising Monte Carlo renderings
TLDR
A novel, supervised learning approach that allows the filtering kernel to be more complex and general by leveraging a deep convolutional neural network (CNN) architecture and introduces a novel, kernel-prediction network which uses the CNN to estimate the local weighting kernels used to compute each denoised pixel from its neighbors.
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