Formal resolution of geometrical constraint systems by assembling

Author(s):  
Jean-François Dufourd ◽  
Pascal Mathis ◽  
Pascal Schreck
1993 ◽  
Vol 6 (3-4) ◽  
pp. 232-234 ◽  
Author(s):  
Roland Berling ◽  
Walter Hower

2006 ◽  
Vol 16 (05n06) ◽  
pp. 431-442 ◽  
Author(s):  
PASCAL SCHRECK ◽  
PASCAL MATHIS

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.


2020 ◽  
Vol 844 ◽  
pp. 142-153
Author(s):  
Piotr Wojciechowski ◽  
R. Chandrasekaran ◽  
K. Subramani
Keyword(s):  

2010 ◽  
Vol 19 (01) ◽  
pp. 65-99 ◽  
Author(s):  
MARC POULY

Computing inference from a given knowledgebase is one of the key competences of computer science. Therefore, numerous formalisms and specialized inference routines have been introduced and implemented for this task. Typical examples are Bayesian networks, constraint systems or different kinds of logic. It is known today that these formalisms can be unified under a common algebraic roof called valuation algebra. Based on this system, generic inference algorithms for the processing of arbitrary valuation algebras can be defined. Researchers benefit from this high level of abstraction to address open problems independently of the underlying formalism. It is therefore all the more astonishing that this theory did not find its way into concrete software projects. Indeed, all modern programming languages for example provide generic sorting procedures, but generic inference algorithms are still mythical creatures. NENOK breaks a new ground and offers an extensive library of generic inference tools based on the valuation algebra framework. All methods are implemented as distributed algorithms that process local and remote knowledgebases in a transparent manner. Besides its main purpose as software library, NENOK also provides a sophisticated graphical user interface to inspect the inference process and the involved graphical structures. This can be used for educational purposes but also as a fast prototyping architecture for inference formalisms.


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

2008 ◽  
Vol 05 (01) ◽  
pp. 41-50 ◽  
Author(s):  
ZHIGANG ZHENG ◽  
ZHENGJUN ZHA ◽  
LONG HAN ◽  
ZENGFU WANG

This paper addresses the problem of highly accurate, highly speedy, more reliable and fully automatic camera calibration. Our objective is to construct a reliable and fully automatic system to supply a more robust and highly accurate calibration scheme. A checkerboard pattern is used as calibration pattern. After the corner points on image are detected, an improved Delaunay triangulation based algorithm is used to make correspondences between corner points on image and corner points on checkerboard in 3D space. In order to determine precise position of the actual corner points, a geometrical constraint based global curve fitting algorithm has been developed. The experimental results show that the geometrical constraint based method can improve remarkably the performance of the feature detection and camera calibration.


Sign in / Sign up

Export Citation Format

Share Document