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» Discrete Harmonic Functions from Local Coordinates
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IMAMS
2007
151views Mathematics» more  IMAMS 2007»
13 years 6 months ago
Discrete Harmonic Functions from Local Coordinates
Abstract. In this work we focus on approximations of continuous harmonic functions by discrete harmonic functions based on the discrete Laplacian in a triangulation of a point set....
Tom Bobach, Gerald E. Farin, Dianne Hansford, Geor...
CRV
2011
IEEE
309views Robotics» more  CRV 2011»
12 years 4 months ago
Optimal Alignment of 3D Data for Spatial Discretization
—We present an algorithm that finds the rotation which best aligns a given configuration of directions on an unsorted set of directions. Using a cost function that we derive in...
Benjamin Huhle, Timo Schairer, Andreas Schilling, ...
PR
2007
125views more  PR 2007»
13 years 4 months ago
Calculating geometric properties of three-dimensional objects from the spherical harmonic representation
The volume, location of the centroid, and second order moments of a threedimensional star-shaped object are determined in terms of the spherical harmonic coefficients of its bound...
Artemy Baxansky, Nahum Kiryati
MIAR
2008
IEEE
13 years 11 months ago
Amygdala Surface Modeling with Weighted Spherical Harmonics
Abstract. Although there are numerous publications on amygdala volumetry, so far there has not been many studies on modeling local amygdala surface shape variations in a rigorous f...
Moo K. Chung, Brendon M. Nacewicz, Shubing Wang, K...
CGF
2006
183views more  CGF 2006»
13 years 4 months ago
Data-driven Local Coordinate Systems for Image-Based Rendering
Image-based representations of an object profit from known geometry. The more accurate this geometry is known, the better corresponding pixels in the different images can be align...
Gero Müller, Ralf Sarlette, Reinhard Klein