| Publications: Approximation
Order Equivalence Properties of Manifold-Valued Data
Subdivision Schemes
(with Gang Xie)(pdf)(bibtex
entry)
Smoothness
Equivalence Properties of General Manifold-Valued
Data Subdivision Schemes
(with Gang Xie)(pdf)(bibtex
entry)(Maple
spreadsheet suggesting the breakdown of smoothness
equivalence of Donoho's log-exp scheme)
Smoothness Equivalence Properties of
Interpolatory Lie Group Subdivision Schemes
(with Gang Xie)(pdf)(bibtex
entry)
Smoothness
Equivalence Properties of Manifold-Valued Data Subdivision Schemes based
on the Projection Approach
(with Gang Xie)(pdf)(bibtex
entry)
Cutting Corners on the Sphere
(pdf)(ps)(bibtex
entry)
How Data
Dependent is a Nonlinear Subdivision Scheme?
--- A Case Study based on
Convexity Preserving Subdivision
(pdf)(ps)(bibtex
entry)
Jet
Subdivision Schemes on the k-Regular Complex
(with Yonggang Xue and Thomas
Duchamp)(pdf)(bibtex
entry)(Project
Page)
Honeycomb and
k-fold Hermite Subdivision Schemes
(with Yonggang Xue)(pdf)(ps)(bibtex
entry)
Face-based Hermite
Subdivision Schemes
(with Bin Han)(pdf)(ps)(bibtex
entry)
On a
Linearization Principle for Nonlinear p-mean Subdivision Schemes
(with Gang Xie)(pdf)(ps)(bibtex
entry)
Smoothness
Analysis of Nonlinear Subdivision Schemes of
Homogeneous and Affine Invariant Type
(with Gang Xie) (pdf)(ps)(bibtex
entry)
Non-Interpolatory
Hermite Subdivision Schemes
(with Bin Han and Yonggang Xue)(pdf)(ps)(bibtex
entry)
Continuous
M-Estimators and their Interpolation by Polynomials
(with Jong-Shi Pang)(pdf)(ps)(bibtex
entry)(Matlab
Code)
Design
of Hermite Subdivision Schemes aided by Spectral Radius
Optimization
(with Bin Han and Michael Overton)(pdf)(ps)(bibtex
entry)
Multivariate
Refinable Hermite
Interpolants
(with
Bin Han and Bruce
Piper)(pdf)(ps)(bibtex
entry)
A
Greedy, Non-recursive
Algorithm for Minimum-Time Rendering of Triangle Meshes
(with
Gang
Lin) (pdf)(ps)
Parametric
Families of
Hermite
Subdivision Schemes in Dimension 1
(pdf)(ps)(software)(bibtex
entry)
Most of the results in this
unpublished
manuscript are improved and
published in:
Approximation
Order/Smoothness
Tradeoff in Hermite Subdivision Schemes
(pdf)(ps)(bibtex
entry)
On
the Regularity Analysis of Interpolatory Hermite Subdivision Schemes
(pdf)(ps)(bibtex
entry)
Nonlinear "Wavelet
Transform" Based on Median-Interpolation
(with David Donoho)(pdf)(ps)
Final version appeared in SIAM Journal on Math. Analysis:
Nonlinear
Pyramid Transform
Based
on Median-Interpolation
(pdf)(ps)(bibtex
entry)
A condensed version appeared in the
proceedings
of
Asilamor '97
(pdf)(ps)
Interpolation
of Medians
(with Tim Goodman) (pdf)(ps)(bibtex
entry)
Smooth
Multiwavelet
Duals of
Alpert Bases By Moment-Interpolating Refinement
(with David
Donoho, Nira Dyn
& David Levin) (pdf)(ps)(bibtex
entry)
Deslaueriers-Dubuc:
Ten
Years
After
(with David
Donoho) (pdf)(ps)(bibtex
entry)
Denoising
of Electron
Tomographic
Reconstructions from Biological Specimens
(with Arne
Stoschek
&
Reiner Hegerl) (pdf)(ps)(Proc. of ICASSP 97, Pg. 2793-2796)
Translation-
and
Direction-Invariant Denoising of 2-D and 3-D Images
(with Arne
Stoschek
&
David Donoho)(Webpage)
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