Results 51 to 60 of about 18,302,605 (160)

Hierarchical Optimization of the As‐Rigid‐As‐Possible Energy

open access: yesComputer Graphics Forum, EarlyView.
Abstract The As‐Rigid‐As‐Possible (ARAP) energy [SA07] has become a versatile ingredient in various geometry processing and machine learning methods. The classic method for its minimization is a block coordinate descent, alternating between local rotation estimation and a global linear solve, which converges slowly for large problem instances.
Hendrik Meyer, Bernd Bickel, Marc Alexa
wiley   +1 more source

Scalable Computation of Topological Abstractions for Scalar Data

open access: yesComputer Graphics Forum, EarlyView.
Abstract Topological data analysis has become an important tool for large scale scalar data analysis and visualization, efficiently extracting the inherent structure and features of interest of the data. However, with growing dataset sizes and complexity, it is increasingly becoming infeasible to compute topological abstractions of interest in serial ...
M. Will   +6 more
wiley   +1 more source

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

Tangent Blow‐Ups for Processing Non‐Manifold Geometry

open access: yesComputer Graphics Forum, EarlyView.
Abstract Many geometry processing pipelines implicitly assume their input data is a manifold, or is sampled from one, with a unique tangent plane at every point. Geometric data, however, routinely contains sharp features like edges, corners, self‐intersections, branching junctions, and other singularities, rendering standard methods ill‐defined at ...
Alice Petrov   +3 more
wiley   +1 more source

Differential algebra and algebraic groups

open access: yes, 1973
Differential Algebra & Algebraic Groups.Includes bibliographical references and index.Print version record.Algebraic preliminaries -- Basic notions of differential algebra -- Differential fields -- The basis theorem and some related topics -- Algebraic ...
Kolchin, E R   +1 more
core  

Discrete Differential Form Subdivision and Vector Field Generation over Volumetric Domain [PDF]

open access: yes, 2012
This thesis presents a new method to construct smooth l- and 2-form subdivision schemes over the 3D volumetric domain. Based on the subdivided 1- and 2-form coefficient field, smooth vector fields can be constructed using Whitney forms.
Huang, Jinghao
core   +1 more source

A spectral analysis extension to DEMATEL for strategic leverage points identification

open access: yesInternational Transactions in Operational Research, EarlyView.
Abstract Efforts to intervene in complex systems often emphasize influential factors, yet system behavior is equally shaped by the relationships among them. Methods such as Decision‐Making Trial and Evaluation Laboratory (DEMATEL) map causal structures but remain descriptive and do not identify which relationships provide the greatest leverage for ...
Pavlos Delias, Kerasia Kalkitsa
wiley   +1 more source

Revising Structuralism in Times of Crisis: Lance Taylor and the Neo‐Structuralist Synthesis in the 1980s

open access: yesMetroeconomica, EarlyView.
ABSTRACT This article places the work of Lance Taylor in the broader context of efforts in the 1980s to renew the structuralist tradition of development economics, into what was then newly coined as neo‐structuralism. These efforts centred around three groups: CEPAL, Lance Taylor and his team at MIT, and a group of economists based at the Institute of ...
Andrew M. Fischer
wiley   +1 more source

The Additive Logic of Epistemic Reasons: An Axiomatic Account

open access: yesTheoria, EarlyView.
ABSTRACT The article argues for a system of axioms that is meant to capture the logic of normative reasons for belief. The system concerns a primitive direct‐reason relation, a defined doxastic‐reason relation, and a primitive function for the revision of rational belief by reasons.
Hannes Leitgeb
wiley   +1 more source

Symbolic Analysis for Boundary Problems: From Rewriting to Parametrized Groebner Bases [PDF]

open access: yes, 2010
We review our algebraic framework for linear boundary problems (concentrating on ordinary differential equations). Its starting point is an appropriate algebraization of the domain of functions, which we have named integro-differential algebras.
Regensburger, Georg   +4 more
core   +1 more source

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