Results 121 to 130 of about 1,726,318 (276)

Some Applications of the Spectral Theory for the Integral Transform Involving the Spectral Representation

open access: yesJournal of Function Spaces and Applications, 2012
In many previous papers, an integral transform ℱγ,β was just considered as a transform on appropriate function spaces. In this paper we deal with the integral transform as an operator on a function space.
Hyun Soo Chung, Seung Jun Chang
doaj   +1 more source

Phong‐Rodrigues Extrinsic Vector‐Field Processing

open access: yesComputer Graphics Forum, EarlyView.
Abstract We introduce a new extrinsic discretization of tangent vector fields on triangle meshes that is continuous, with bounded derivatives that are continuous almost everywhere, supporting pointwise evaluation and integration of differential operators.
Hongyi Liu   +4 more
wiley   +1 more source

On Adjoint Dynamical Systems

open access: yes, 1973
Transformations of dynamical systems and organismic structures are discussed in terms of adjoint, simple adjoint and weak adjoint functors of organismic supercategories during development and evolution of organisms on markedly different timescales.
Scripcariu, Prof.Dr. Dragos   +1 more
core  

On Bending in the As‐Rigid‐As‐Possible Deformation Energy

open access: yesComputer Graphics Forum, EarlyView.
Abstract The well‐established As‐Rigid‐As‐Possible (ARAP) energy has various forms. For surface deformation, commonly used energies contain an implicit bending penalty. We present a natural, continuous generalization that incorporates multiple ARAP versions with an implicit, user‐controllable bending penalty.
Ugo Finnendahl, Marc Alexa
wiley   +1 more source

Attention Based Optimization for 3D Shape Registration

open access: yesComputer Graphics Forum, EarlyView.
Abstract Transformers are sequence‐to‐sequence architectures originally designed to handle structurally rigid and order‐sensitive data, such as text and images. At their core, they exploit the attention mechanism, which is permutation‐equivariant and relies on computing token‐to‐token relationships.
A. Riva, L. Olearo, S. Melzi
wiley   +1 more source

Fluid Control with Localized Spacetime Windows

open access: yesComputer Graphics Forum, EarlyView.
Abstract We present a physics‐based fluid control method utilizing localized spacetime windows, extending force‐based fluid control to substantially larger simulation scales. In many practical editing scenarios, user‐specified objectives affect only a small region of an otherwise satisfactory simulation, resulting in optimal control force distributions
Y. Chen, D. I. W. Levin, T. R. Langlois
wiley   +1 more source

The Adjoint Representation of a Higher Lie Groupoid [PDF]

open access: yes
We extend the standard construction of the adjoint representation of a Lie groupoid to the case of an arbitrary higher Lie groupoid. As for a Lie groupoid, the adjoint representation of a higher Lie groupoid turns out to be a representation up to ...
Trentinaglia, Giorgio
core   +1 more source

Some Vector Inequalities for Continuous Functions of Self-Adjoint Operators in Hilbert Spaces

open access: yesJournal of Inequalities and Applications, 2011
On utilizing the spectral representation of self-adjoint operators in Hilbert spaces, some inequalities for the composite operator , where and for various classes of continuous functions are given.
Dragomir SS
doaj  

The Evolution of Interest‐Rate Models: From the Yield Curve to the Swaption Cube

open access: yesJournal of Economic Surveys, EarlyView.
ABSTRACT Interest‐rate modelling is often taught as a catalogue of competing stochastic equations, obscuring why models were created and why modern sell‐side desks use several simultaneously. This survey reorganises the field around five layers of a pricing architecture: curve construction; arbitrage‐free dynamics; volatility‐smile representation ...
Xuan Feng   +2 more
wiley   +1 more source

Efficient polar optimization of transport aircraft in transonic RANS flow using adjoint gradient based approach [PDF]

open access: yes, 2012
A major design requirement for transport aircraft is efficient cruise flight in the transonic region. From the aerodynamic viewpoint, this is achieved by favorable lift-to-drag ratio of the aircraft, both at the main design point and at off-design ...
Brezillon, Joel   +2 more
core  

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