502 citations · 1.8k across the 42 of their papers we have counts for
6 papers · 1 filter
Algorithms to automatically quantify the geometric similarity of anatomical surfaces
D. Boyer, Y. Lipman, E. St. Clair +5
We describe new approaches for distances between pairs of 2-dimensional surfaces (embedded in 3-dimensional space) that use local structures and global information contained in int…
Wavelets and wavelet-like transforms on the sphere and their application to geophysical data inversion
Frederik J. Simons, Ignace Loris, Eugene Brevdo +1
Many flexible parameterizations exist to represent data on the sphere. In addition to the venerable spherical harmonics, we have the Slepian basis, harmonic splines, wavelets and w…
The continuous Procrustes distance between two surfaces
Yaron Lipman Reema Al-Aifari Ingrid Daubechies
The Procrustes distance is used to quantify the similarity or dissimilarity of (3-dimensional) shapes, and extensively used in biological morphometrics. Typically each (normalized)…
Solving or resolving global tomographic models with spherical wavelets, and the scale and sparsity of seismic heterogeneity
Frederik J. Simons, Ignace Loris, Guust Nolet +6
We propose a class of spherical wavelet bases for the analysis of geophysical models and forthe tomographic inversion of global seismic data. Its multiresolution character allows f…
Conformal Wasserstein distances: comparing surfaces in polynomial time
Yaron Lipman, Ingrid Daubechies
We present a constructive approach to surface comparison realizable by a polynomial-time algorithm. We determine the "similarity" of two given surfaces by solving a mass-transporta…
Conformal Wasserstein Distance: II. Computational Aspects and Extensions
Yaron Lipman, Jesus Puente, Ingrid Daubechies
This paper is a companion paper to [Lipman and Daubechies 2011]. We provide numerical procedures and algorithms for computing the alignment of and distance between two disk type su…