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Hierarchical nonlinear constraint satisfaction

Published: 14 March 2004 Publication History

Abstract

Constraint programming is a method of problem solving that allows declarative specification of relations among objects. It is important to allow preferences of constraints since it is often difficult for programmers to specify all constraints without conflicts. In this paper, we propose a numerical method for solving nonlinear constraints with hierarcical preferences (i.e., constraint hierarchies) in a least-squares manner. This method finds sufficiently precise local optimal solutions by appropriately processing hierarchical preferences of constraints. To evaluate the effectiveness of our method, we present experimental results obtained with a prototype constraint solver.

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Cited By

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  • (2015)A Hierarchical Method for Solving Soft Nonlinear ConstraintsProcedia Computer Science10.1016/j.procs.2015.08.42262(378-384)Online publication date: 2015
  • (2012)Solving non-linear arithmetic constraints in soft realtime environmentsProceedings of the 27th Annual ACM Symposium on Applied Computing10.1145/2245276.2245293(67-73)Online publication date: 26-Mar-2012
  • (2008)Camera Control in Computer GraphicsComputer Graphics Forum10.1111/j.1467-8659.2008.01181.x27:8(2197-2218)Online publication date: 21-Nov-2008

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Published In

cover image ACM Conferences
SAC '04: Proceedings of the 2004 ACM symposium on Applied computing
March 2004
1733 pages
ISBN:1581138121
DOI:10.1145/967900
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 14 March 2004

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Author Tags

  1. constraint hierarchies
  2. constraint satisfaction
  3. least squares
  4. nonlinear constraints

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SAC04
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SAC04: The 2004 ACM Symposium on Applied Computing
March 14 - 17, 2004
Nicosia, Cyprus

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Overall Acceptance Rate 1,650 of 6,669 submissions, 25%

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Cited By

View all
  • (2015)A Hierarchical Method for Solving Soft Nonlinear ConstraintsProcedia Computer Science10.1016/j.procs.2015.08.42262(378-384)Online publication date: 2015
  • (2012)Solving non-linear arithmetic constraints in soft realtime environmentsProceedings of the 27th Annual ACM Symposium on Applied Computing10.1145/2245276.2245293(67-73)Online publication date: 26-Mar-2012
  • (2008)Camera Control in Computer GraphicsComputer Graphics Forum10.1111/j.1467-8659.2008.01181.x27:8(2197-2218)Online publication date: 21-Nov-2008

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