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SMA
2008
ACM
120views Solid Modeling» more  SMA 2008»
13 years 4 months ago
A generic and flexible framework for the geometrical and topological analysis of (algebraic) surfaces
We present a generic framework on a set of surfaces S in
Eric Berberich, Michael Sagraloff
COMGEO
2010
ACM
13 years 4 months ago
An efficient algorithm for the stratification and triangulation of an algebraic surface
: We present a method to compute the exact topology of a real algebraic surface S, implicitly given by a polynomial f Q[x,y,z] of arbitrary total degree N. Additionally, our analy...
Eric Berberich, Michael Kerber, Michael Sagraloff
SMA
2008
ACM
149views Solid Modeling» more  SMA 2008»
13 years 4 months ago
Exact arrangements on tori and Dupin cyclides
An algorithm and implementation is presented to compute the exact arrangement induced by arbitrary algebraic surfaces on a parametrized ring Dupin cyclide. The family of Dupin cyc...
Eric Berberich, Michael Kerber
IPMI
2009
Springer
14 years 5 months ago
Persistence Diagrams of Cortical Surface Data
We present a novel framework for characterizing signals in images using techniques from computational algebraic topology. This technique is general enough for dealing with noisy mu...
Moo K. Chung, Peter Bubenik, Peter T. Kim
CAD
2002
Springer
13 years 4 months ago
Integrated modeling, finite-element analysis, and engineering design for thin-shell structures using subdivision
Many engineering design applications require geometric modeling and mechanical simulation of thin flexible structures, such as those found in the automotive and aerospace industri...
Fehmi Cirak, Michael J. Scott, Erik K. Antonsson, ...