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» A Geometric Functional for Derivatives Approximation
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TCS
2008
13 years 7 months ago
Curves and surfaces represented by polynomial support functions
This paper studies shapes (curves and surfaces) which can be described by (piecewise) polynomial support functions. The class of these shapes is closed under convolutions, offsett...
Zbynek Sír, Jens Gravesen, Bert Jüttle...
BMCBI
2007
128views more  BMCBI 2007»
13 years 7 months ago
A robust and efficient algorithm for the shape description of protein structures and its application in predicting ligand bindin
Background: An accurate description of protein shape derived from protein structure is necessary to establish an understanding of protein-ligand interactions, which in turn will l...
Lei Xie, Philip E. Bourne
ADCM
2007
88views more  ADCM 2007»
13 years 7 months ago
Discrete variational integrators and optimal control theory
A geometric derivation of numerical integrators for optimal control problems is proposed. It is based in the classical technique of generating functions adapted to the special fea...
Manuel de León, David Martín de Dieg...
MP
2008
126views more  MP 2008»
13 years 7 months ago
Geometry of interpolation sets in derivative free optimization
We consider derivative free methods based on sampling approaches for nonlinear optimization problems where derivatives of the objective function are not available and cannot be dir...
Andrew R. Conn, Katya Scheinberg, Luís N. V...
IJRR
2011
99views more  IJRR 2011»
13 years 2 months ago
Unifying geometric, probabilistic, and potential field approaches to multi-robot deployment
This paper unifies and extends several different existing strategies for deploying groups of robots in an environment. A cost function is proposed that can be specialized to rep...
Mac Schwager, Daniela Rus, Jean-Jacques E. Slotine