A Scalable Linear Constraint Solver for User Interface Construction

  • Hiroshi Hosobe
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1894)


This paper proposes an algorithm for satisfying systems of linear equality and inequality constraints with hierarchical strengths or preferences. Basically, it is a numerical method that incrementally obtains the LU decompositions of linear constraint systems. To realize this, it introduces a novel technique for analyzing hierarchical systems of linear constraints. In addition, it improves performance by adopting techniques that utilize the sparsity and disjointness of constraint systems. Based on this algorithm, the HiRise constraint solver has been designed and implemented for the use of constructing interactive graphical user interfaces. This paper shows that HiRise is scalable up to thousands of simultaneous constraints in real-time execution.


Inequality Constraint Basic Algorithm Constraint System Active Constraint Lower Triangular Matrix 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Hiroshi Hosobe
    • 1
  1. 1.National Institute of InformaticsTokyoJapan

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