GEOMETRICAL CONSTRAINT SYSTEM DECOMPOSITION: A MULTI-GROUP APPROACH

2006 ◽  
Vol 16 (05n06) ◽  
pp. 431-442 ◽  
Author(s):  
PASCAL SCHRECK ◽  
PASCAL MATHIS
Keyword(s):  
Geometric Constraint ◽  
Transformation Groups ◽  
Geometrical Constraint ◽  
Group Approach ◽  
New Approach ◽  
System Decomposition ◽  
Constraint System ◽  
Constraint Systems ◽  
Real Objects

Since they help to specify the shape of real objects, geometric constraint systems encountered in CAD domain are often invariant by isometries. But other transformation groups can be considered to improve the solving process. More precisely, using different transformation groups leads to a new approach of decomposition which generalizes in some sense the classical approaches. This paper presents a method able to perform such a multi-group decomposition.

GPDOF — A FAST ALGORITHM TO DECOMPOSE UNDER-CONSTRAINED GEOMETRIC CONSTRAINT SYSTEMS: APPLICATION TO 3D MODELING

2006 ◽  
Vol 16 (05n06) ◽  
pp. 479-511 ◽  
Author(s):  
GILLES TROMBETTONI ◽  
MARTA WILCZKOWIAK
Keyword(s):  
Equation System ◽  
3D Models ◽  
General Purpose ◽  
Constrained Systems ◽  
Geometric Constraints ◽  
Geometric Constraint ◽  
Maximum Matching ◽  
Constraint System ◽  
Constraint Systems ◽  
Geometrical Constraints

Our approach exploits a general-purpose decomposition algorithm, called GPDOF, and a dictionary of very efficient solving procedures, called r-methods, based on theorems of geometry. GPDOF decomposes an equation system into a sequence of small subsystems solved by r-methods, and produces a set of input parameters.1. Recursive assembly methods (decomposition-recombination), maximum matching based algorithms, and other famous propagation schema are not well-suited or cannot be easily extended to tackle geometric constraint systems that are under-constrained. In this paper, we show experimentally that, provided that redundant constraints have been removed from the system, GPDOF can quickly decompose large under-constrained systems of geometrical constraints. We have validated our approach by reconstructing, from images, 3D models of buildings using interactively introduced geometrical constraints. Models satisfying the set of linear, bilinear and quadratic geometric constraints are optimized to fit the image information. Our models contain several hundreds of equations. The constraint system is decomposed in a few seconds, and can then be solved in hundredths of seconds.

scholarly journals Re-parameterization reduces irreducible geometric constraint systems

2016 ◽  
Vol 70 ◽  
pp. 182-192 ◽  
Author(s):  
Hichem Barki ◽  
Lincong Fang ◽  
Dominique Michelucci ◽  
Sebti Foufou
Keyword(s):  
Geometric Constraint ◽  
Constraint Systems

scholarly journals New Approach for Quantization of Second Class Constraint Systems

2014 ◽  
Vol 14 (7) ◽  
pp. 617-619 ◽  
Author(s):  
A. Farmany ◽  
M. Hatami ◽  
H. Noorizadeh ◽  
S.S. Mortazavi
Keyword(s):  
Class Constraint ◽  
New Approach ◽  
Constraint Systems

scholarly journals Peer Group: A New Approach of Nursing Intervention

2021 ◽  
Vol 2 (1) ◽  
pp. 12
Author(s):  
Suyanto Suyanto ◽  
Moses Glorino Rumambo Pandin
Keyword(s):  
Peer Group ◽  
Peer Groups ◽  
Nursing Intervention ◽  
Nursing Interventions ◽  
Group Support ◽  
Group Approach ◽  
New Approach ◽  
The World ◽  
Group A ◽  
The Impact

The development of nursing, especially related to the nursing intervention approach, is running so fast. This can be seen from the use of peer group support in nursing interventions in individual humans. The purpose of this literature is to find the impact of implementing nursing interventions using a peer group support approach. This literature review method uses JBI and Prisma on 120 articles taken from journal databases, namely Scopus, PubMed and ScienceDirect. From the articles analyzed, it was found that the application of peer groups can improve individual abilities both in psychological and behavioral aspects. The application of the peer group approach is able to be one of the approaches in the world of nursing in carrying out nursing actions today.

scholarly journals A formalization of geometric constraint systems and their decomposition

2009 ◽  
Vol 22 (2) ◽  
pp. 129-151 ◽  
Author(s):  
Pascal Mathis ◽  
Simon E. B. Thierry
Keyword(s):  
Geometric Constraint ◽  
Constraint Systems

RENORMALIZATION AND ASYMPTOTICS

2000 ◽  
Vol 14 (12n13) ◽  
pp. 1327-1361 ◽  
Author(s):  
Y. OONO
Keyword(s):  
Renormalization Group ◽  
Differential Equations ◽  
Perturbation Methods ◽  
Explicit Calculation ◽  
Group Approach ◽  
New Approach ◽  
Asymptotic Behaviors ◽  
Singular Perturbation Methods ◽  
Renormalization Group Approach ◽  
Long Time

After a gentle introduction to the Stückelberg–Petermann style (i.e. field-theoretical) renormalization group (RG) theory, its application to the study of asymptotic behaviors of differential equations is explained through simple examples. The essence of singular perturbation methods to study asymptotic behaviors of differential equations is to reduce it to equations governing long time scale behaviors (i.e. the so-called reductive perturbation). The RG approach gives the reduced equation as an RG equation (this is called the reductive renormalization group approach). Once the RG equation is written down, the asymptotic behavior can be obtained by solving it. The RG equation also facilitates the error analysis of the asymptotic solutions. A new approach via "proto-RG equation" explained in this article further simplifies the reductive use of RG. For example, to the lowest nontrivial order the approach does not require any explicit calculation of perturbative results.

scholarly journals Extensions of the witness method to characterize under-, over- and well-constrained geometric constraint systems

2011 ◽  
Vol 43 (10) ◽  
pp. 1234-1249 ◽  
Author(s):  
Simon E.B. Thierry ◽  
Pascal Schreck ◽  
Dominique Michelucci ◽  
Christoph Fünfzig ◽  
Jean-David Génevaux
Keyword(s):  
Geometric Constraint ◽  
Constraint Systems

scholarly journals Body-and-cad geometric constraint systems

2012 ◽  
Vol 45 (8) ◽  
pp. 385-405 ◽  
Author(s):  
Kirk Haller ◽  
Audrey Lee-St.John ◽  
Meera Sitharam ◽  
Ileana Streinu ◽  
Neil White
Keyword(s):  
Geometric Constraint ◽  
Constraint Systems
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