메뉴 건너뛰기




Volumn 5, Issue 4, 2004, Pages 732-767

Interval constraint solving for camera control and motion planning

Author keywords

Camera control; Inner approximation; Interval constraint; Universal quantifier

Indexed keywords

CAMERA CONTROL; INNER APPROXIMATION; INTERVAL CONSTRAINTS; UNIVERSAL QUANTIFIERS;

EID: 8344271961     PISSN: 15293785     EISSN: None     Source Type: Journal    
DOI: 10.1145/1024922.1024927     Document Type: Article
Times cited : (27)

References (62)
  • 2
    • 8344234602 scopus 로고    scopus 로고
    • Computing camera viewpoints in an active robot work-cell
    • IBM Research Division, Yorktown Heights, NT
    • ABRAMS, S. AND ALLEN, P. K. 1997. Computing camera viewpoints in an active robot work-cell. IBM Res. rep. RC 20987. IBM Research Division, Yorktown Heights, NT.
    • (1997) IBM Res. Rep. , vol.RC 20987
    • Abrams, S.1    Allen, P.K.2
  • 10
    • 0031185563 scopus 로고    scopus 로고
    • Applying interval arithmetic to real, integer and Boolean constraints
    • BENHAMOU, F. AND OLDER, W. J. 1997. Applying interval arithmetic to real, integer and Boolean constraints. J. Logic Programm. 32, 1, 1-24.
    • (1997) J. Logic Programm , vol.32 , Issue.1 , pp. 1-24
    • Benhamou, F.1    Older, W.J.2
  • 11
    • 0024037373 scopus 로고
    • Where am I? What am I looking at?
    • BLINN, J. 1988. Where am I? What am I looking at? IEEE Comput. Graph. Appl. 8, 4 (July), 76-81.
    • (1988) IEEE Comput. Graph. Appl. , vol.8 , Issue.4 JULY , pp. 76-81
    • Blinn, J.1
  • 13
    • 84880696540 scopus 로고    scopus 로고
    • Extending consistent domains of numeric CSP
    • (Stockholm, Sweden)
    • COLLAVIZZA, H., DELOBEL, F., AND RUEHER, M. 1999. Extending consistent domains of numeric CSP. In Proceedings of the 16th IJCAI. (Stockholm, Sweden). Vol. 1. 406-411.
    • (1999) Proceedings of the 16th IJCAI , vol.1 , pp. 406-411
    • Collavizza, H.1    Delobel, F.2    Rueher, M.3
  • 14
    • 85029837057 scopus 로고
    • Quantifier elimination for real closed fields by cylindrical algebraic decomposition
    • Lecture Notes in Computer Science, Springer, Kaiserslauten, Germany
    • COLLINS, G. E. 1975. Quantifier elimination for real closed fields by cylindrical algebraic decomposition. In Proceedings of the 2nd GI Conference on Automata Theory and Formal Languages. Lecture Notes in Computer Science, vol. 33. Springer, Kaiserslauten, Germany, 134-183.
    • (1975) Proceedings of the 2nd GI Conference on Automata Theory and Formal Languages , vol.33 , pp. 134-183
    • Collins, G.E.1
  • 16
    • 0003319968 scopus 로고
    • Ph.D. dessertation. Program in Media Arts and Sciences, School of Architecture and Planning, MIT, Cambridge, MA
    • DRUCKER, S. M. 1994. Intelligent camera control for graphical environments. Ph.D. dessertation. Program in Media Arts and Sciences, School of Architecture and Planning, MIT, Cambridge, MA.
    • (1994) Intelligent Camera Control for Graphical Environments
    • Drucker, S.M.1
  • 18
    • 0028679924 scopus 로고
    • Intelligent camera control in a virtual environment
    • Canadian Information Processing Society, Banff, Alta., Canada
    • DRUCKER, S. M. AND ZELTZER, D. 1994. Intelligent camera control in a virtual environment. In Proceedings of Graphics Interface '94. Canadian Information Processing Society, Banff, Alta., Canada, 190-199.
    • (1994) Proceedings of Graphics Interface '94 , pp. 190-199
    • Drucker, S.M.1    Zeltzer, D.2
  • 19
    • 84937350085 scopus 로고
    • Large-scale behaviour of junction transistors
    • EBERS, J. J. AND MOLL, J. L. 1954. Large-scale behaviour of junction transistors. IRE Procs. 42, 1761-1772.
    • (1954) IRE Procs. , vol.42 , pp. 1761-1772
    • Ebers, J.J.1    Moll, J.L.2
  • 20
    • 3042551103 scopus 로고    scopus 로고
    • Computer algebra methods for studying and computing molecular conformations
    • EMIRIS, I. Z. AND MOURRAIN, B. 1999. Computer algebra methods for studying and computing molecular conformations. Algorithmica 25, 2/3, 372-402.
    • (1999) Algorithmica , vol.25 , Issue.2-3 , pp. 372-402
    • Emiris, I.Z.1    Mourrain, B.2
  • 21
    • 0023455805 scopus 로고
    • On the numerical condition of polynomials in Bernstein form
    • FAROUKI, R. T. AND RAJAN, V. T. 1987. On the numerical condition of polynomials in Bernstein form. Comput. Aided Geom. Des. 4, 191-216.
    • (1987) Comput. Aided Geom. Des. , vol.4 , pp. 191-216
    • Farouki, R.T.1    Rajan, V.T.2
  • 22
    • 0019210521 scopus 로고
    • Fundamentals of SIGLA, an interval computing system over the completed set of intervals
    • GARDEÑES, E. AND TREPAT, A. 1980. Fundamentals of SIGLA, an interval computing system over the completed set of intervals. Comput. 24, 2-3, 161-179.
    • (1980) Comput. , vol.24 , Issue.2-3 , pp. 161-179
    • Gardeñes, E.1    Trepat, A.2
  • 23
    • 85035076105 scopus 로고
    • Modal intervals: Reasons and ground semantics
    • Lecture Notes in Computer Science, Springer-Verlag, Berlin, Germany
    • GARDENES, E. H. AND MIELGO, H. 1986. Modal intervals: Reasons and ground semantics. Inlnterval Mathematics. Lecture Notes in Computer Science, vol. 212. Springer-Verlag, Berlin, Germany.
    • (1986) Inlnterval Mathematics , vol.212
    • Gardenes, E.H.1    Mielgo, H.2
  • 24
    • 0002941151 scopus 로고    scopus 로고
    • Solving strict polynomial inequalities by Bernstein expansion
    • N. Munro, Ed. The Institution of Electrical Engineers, London, England
    • GARLOFF, J. AND GRAF, B. 1999. Solving strict polynomial inequalities by Bernstein expansion. In The Use of Symbolic Methods in Control System Analysis and Design, N. Munro, Ed. The Institution of Electrical Engineers, London, England, 339-352.
    • (1999) The Use of Symbolic Methods in Control System Analysis and Design , pp. 339-352
    • Garloff, J.1    Graf, B.2
  • 26
    • 0035362205 scopus 로고    scopus 로고
    • Progress in the solving of a circuit design problem
    • GRANVILLIERS, L. AND BENHAMOU, F. 2001. Progress in the solving of a circuit design problem. J. Global Opt. 20, 2, 155-168.
    • (2001) J. Global Opt. , vol.20 , Issue.2 , pp. 155-168
    • Granvilliers, L.1    Benhamou, F.2
  • 28
    • 84957906804 scopus 로고
    • Global consistency for continuous constraints
    • Springer-Verlag, Berlin, Germany
    • HAROUD, D. AND FALTINGS, B. 1994. Global consistency for continuous constraints. Lecture Notes in Computer Science, vol. 874. Springer-Verlag, Berlin, Germany, 40-50.
    • (1994) Lecture Notes in Computer Science , vol.874 , pp. 40-50
    • Haroud, D.1    Faltings, B.2
  • 29
    • 84862460178 scopus 로고
    • Speeding-up quantifier elimination by Gröbner bases
    • RISC-Linz, Johannes Kepler University, Linz, Austria
    • HONG, H. AND BUCHBERGER, B. 1991. Speeding-up quantifier elimination by Gröbner bases. Tech. Rep. 91-06. RISC-Linz, Johannes Kepler University, Linz, Austria.
    • (1991) Tech. Rep. , vol.91 , Issue.6
    • Hong, H.1    Buchberger, B.2
  • 30
    • 0003589319 scopus 로고
    • IEEE standard for binary floating-point arithmetic
    • IEEE
    • IEEE. 1985. IEEE standard for binary floating-point arithmetic. Tech. rep. IEEE Std 754-1985.
    • (1985) Tech. Rep. IEEE Std , pp. 754-1985
  • 31
    • 8344235380 scopus 로고    scopus 로고
    • Institute of Electrical and Electronics Engineers, Piscataway, NJ. Reaffirmed 1990
    • Institute of Electrical and Electronics Engineers, Piscataway, NJ. Reaffirmed 1990.
  • 32
    • 0003319401 scopus 로고    scopus 로고
    • Screen-space constraints for camera movements: The virtual cameraman
    • N. Ferreira and M. Göbel, Eds. Blackwell Publishers, Oxford, UK
    • JARDILLIER, F. AND LANGUÉNOU, É. 1998. Screen-space constraints for camera movements: the virtual cameraman. In Eurographics'98 proceedings, N. Ferreira and M. Göbel, Eds. Vol. 17. Blackwell Publishers, Oxford, UK, 175-186.
    • (1998) Eurographics'98 Proceedings , vol.17 , pp. 175-186
    • Jardillier, F.1    Languénou, É.2
  • 33
    • 0027627483 scopus 로고
    • Set inversion via interval analysis for nonlinear bounded-error estimation
    • JAULIN, L. AND WALTER, E. 1993. Set inversion via interval analysis for nonlinear bounded-error estimation. Automatica 29, 4, 1053-1064.
    • (1993) Automatica , vol.29 , Issue.4 , pp. 1053-1064
    • Jaulin, L.1    Walter, E.2
  • 34
    • 0030218755 scopus 로고    scopus 로고
    • Guaranteed tuning with application to robust control and motion planning
    • JAULIN, L. AND WALTER, E. 1996. Guaranteed tuning with application to robust control and motion planning. Automatica 32. 8, 1217-1221.
    • (1996) Automatica , vol.32 , Issue.8 , pp. 1217-1221
    • Jaulin, L.1    Walter, E.2
  • 35
    • 0344495749 scopus 로고
    • Cylindrical algebraic decomposition - An introduction
    • Department of Electrical Engineering, Linköping University, Linkoping, Sweden
    • JIRSTRAND, M. 1995. Cylindrical algebraic decomposition - an introduction. Tech. Rep. 1995-10-18, Department of Electrical Engineering, Linköping University, Linkoping, Sweden.
    • (1995) Tech. Rep. 1995-10-18
    • Jirstrand, M.1
  • 36
    • 0002411910 scopus 로고
    • Interval analysis in the extended interval space IR
    • KAUCHEH. E. W. 1980. Interval analysis in the extended interval space IR. Comput. (Supplementum) 2, 33-49.
    • (1980) Comput. (Supplementum) , vol.2 , pp. 33-49
    • Kaucheh, E.W.1
  • 37
    • 8344278429 scopus 로고    scopus 로고
    • Numerical solving of constraints of multivariate polynomial strict inequalities
    • RISC Institute, Johannes Kepler University, Linz, Austria
    • KUTSIA, T. AND SCHICHO, J. 1999. Numerical solving of constraints of multivariate polynomial strict inequalities. Tech. rep. 99-31. RISC Institute, Johannes Kepler University, Linz, Austria.
    • (1999) Tech. Rep. 99-31
    • Kutsia, T.1    Schicho, J.2
  • 38
    • 0032205291 scopus 로고    scopus 로고
    • Towards correctly rounded transcendeatals
    • LEFÈVRE, V., MULLER, J.-M., AND TISSERAND, A. 1998. Towards correctly rounded transcendeatals. IEEE Trans. Comput. 47, 11 (Nov.), 1235-1243.
    • (1998) IEEE Trans. Comput. , vol.47 , Issue.11 NOV. , pp. 1235-1243
    • Lefèvre, V.1    Muller, J.-M.2    Tisserand, A.3
  • 39
    • 49449120803 scopus 로고
    • Consistency in networks of relations
    • MACKWORTH, A. K. 1977. Consistency in networks of relations. Art. Intell. 1, 8, 99-118.
    • (1977) Art. Intell. , vol.1 , Issue.8 , pp. 99-118
    • Mackworth, A.K.1
  • 40
    • 0000417799 scopus 로고
    • On directed interval arithmetic and its applications
    • MAEKOV, S. 1995. On directed interval arithmetic and its applications. J. Univers. Comput. Sci. 1, 7, 514-526.
    • (1995) J. Univers. Comput. Sci. , vol.1 , Issue.7 , pp. 514-526
    • Maekov, S.1
  • 41
    • 0025448634 scopus 로고
    • Chemical equilibrium systems as numerical test problems
    • METNTJES, K. AND MORGAN, A. P. 1990. Chemical equilibrium systems as numerical test problems. ACM Trans. Math. Softw. 16, 2 (June), 143-151.
    • (1990) ACM Trans. Math. Softw. , vol.16 , Issue.2 JUNE , pp. 143-151
    • Metntjes, K.1    Morgan, A.P.2
  • 42
    • 0004293209 scopus 로고
    • Prentice-Hall, Englewood Cliffs, NJ
    • MOORE, R. E. 1966. Interval Analysis. Prentice-Hall, Englewood Cliffs, NJ.
    • (1966) Interval Analysis
    • Moore, R.E.1
  • 43
    • 0003915794 scopus 로고
    • Encyclopedia of Mathematics and its Applications, Cambridge Unversity Press, Cambridge, U.K
    • NEUMAIER, A. 1990. Interval Methods for Systems of Equations. Encyclopedia of Mathematics and its Applications, vol. 37. Cambridge Unversity Press, Cambridge, U.K.
    • (1990) Interval Methods for Systems of Equations , vol.37
    • Neumaier, A.1
  • 45
    • 0006495373 scopus 로고    scopus 로고
    • Quantifier Elimination for trigonometric polynomials by cylindrical trigonometric decomposition
    • PAU, P. AND SCHICHO, J. 2000. Quantifier Elimination for trigonometric polynomials by cylindrical trigonometric decomposition. J. Symbol. Computat. 29, 6 (June), 971-983.
    • (2000) J. Symbol. Computat. , vol.29 , Issue.6 JUNE , pp. 971-983
    • Pau, P.1    Schicho, J.2
  • 47
    • 0001798153 scopus 로고    scopus 로고
    • A constraint satisfection approach to a circuit design problem
    • PUGET, J.-F. AND VAN HENTENRYCK, P. 1998. A constraint satisfection approach to a circuit design problem. J. Global Opt. 13, 75-93.
    • (1998) J. Global Opt. , vol.13 , pp. 75-93
    • Puget, J.-F.1    Van Hentenryck, P.2
  • 48
    • 8344226522 scopus 로고
    • On the accumulation of errors in processes of integration on high-speed calculating machines
    • Cited in Stoer and Bulirsch [1993]
    • RADEMACHER, H. A. 1948. On the accumulation of errors in processes of integration on high-speed calculating machines. Annals Comput. Laor. Harvard Univ. 16, 176-185. Cited in Stoer and Bulirsch [1993].
    • (1948) Annals Comput. Laor. Harvard Univ. , vol.16 , pp. 176-185
    • Rademacher, H.A.1
  • 49
    • 0042693618 scopus 로고
    • Ph.D. dissertation. École polytechnique fédérale de Lausanne, Lausanne, Switzerland
    • SAM, J. 1995. Constraint consistency techniques for continuous domains. Ph.D). dissertation. École polytechnique fédérale de Lausanne, Lausanne, Switzerland.
    • (1995) Constraint Consistency Techniques for Continuous Domains
    • Sam, J.1
  • 53
    • 0026889111 scopus 로고
    • Interval analysis for computer graphics
    • E. E. Catmull. Ed.
    • SNYDER, J. M. 1992. Interval analysis for computer graphics. In Computer Graphics (SIGGRAPH '92 Proceedings, E. E. Catmull. Ed.). 28, 2, 121-130.
    • (1992) Computer Graphics SIGGRAPH '92 Proceedings , vol.28 , Issue.2 , pp. 121-130
    • Snyder, J.M.1
  • 56
    • 8344284693 scopus 로고
    • Automated sensor planning and modeling for robotic vision tasks
    • Columbia University, New York, NY
    • TARABANIS, K. 1990. Automated sensor planning and modeling for robotic vision tasks Tech. rap. CUCS-045-90. Columbia University, New York, NY.
    • (1990) Tech. Rap. , vol.CUCS-045-90
    • Tarabanis, K.1
  • 57
    • 0000612851 scopus 로고
    • Rounding-off errors in matrix processes
    • Cited in Wilkinson [1963]
    • TURING, A. M. 1948. Rounding-off errors in matrix processes. Quart. J. Mech. 1, 287-308. Cited in Wilkinson [1963].
    • (1948) Quart. J. Mech. , vol.1 , pp. 287-308
    • Turing, A.M.1
  • 58
    • 0000524439 scopus 로고    scopus 로고
    • Solving polynomial systems using a branch and prune approach
    • VAN HENTENRYCK, P., MCALLESTER, D., AND KAPUR, D. 1997a. Solving polynomial systems using a branch and prune approach. SIAM J. Numer. Anal. 34, 2 (April), 797-827.
    • (1997) SIAM J. Numer. Anal. , vol.34 , Issue.2 APRIL , pp. 797-827
    • Van Hentenryck, P.1    Mcallester, D.2    Kapur, D.3
  • 60
    • 0002680001 scopus 로고
    • Understanding line drawings of scenes with shadows
    • P. H. Winston, B. Horn, M. Minsky, and Y. Shirai, Eds. McGraw-Hill, New York, NY, Chap. 2
    • WALTZ, D. L. 1975. Understanding line drawings of scenes with shadows. In The Psychology of Computer Vision, P. H. Winston, B. Horn, M. Minsky, and Y. Shirai, Eds. McGraw-Hill, New York, NY, Chap. 2, 19-91.
    • (1975) The Psychology of Computer Vision , pp. 19-91
    • Waltz, D.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.