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Output-Sensitive Methods for Rectilinear Hidden Surface Removal (1993)  (Make Corrections)  (4 citations)
Michael T. Goodrich, Mikhail J. Atallah, Mark H. Overmars
Information and Computation



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Abstract: We present an algorithm for the hidden-surface elimination problem for rectangles, which is also known as window rendering. The time complexity of our algorithm is dependent on both the number of input rectangles, n, and on the size of the output, k. Our algorithm obtains a trade-off between these two components, in that its running time is O(r(n 1 1=r k)), where 1 r log n is a tunable parameter. By using this method while adjusting the parameter r "on the fly" one can achieve a running time... (Update)

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...in the visibility map. Many of these algorithms are designed to work for specific classes of inputs: rectangles and orthogonal objects [17, 50, 86], polyhedral terrains [59, 85, 87] and objects whose unions have small size [59] de Berg et al. 36] present a general algorithm...

.... cation of our algorithm solves this problem in time O(n log 2 n t log n p) which compares favorably with the best analytic solutions [8, 22]. If the pixels form a regular grid, we can improve the running time to O(n log 2 n t log n) using the sweepline approach. Note that...

Cited by:   More
Trends and Developments in Computational Geometry - de Berg (1995)   (Correct)
Finite-Resolution Hidden Surface Removal - Erickson   (Correct)
Efficient Hidden-Surface Removal in Theory and in Practice - Murali (1999)   (Correct)

Active bibliography (related documents):   More   All
1.8:   A Polygonal Approach to Hidden-Line and Hidden-Surface Elimination - Goodrich (1999)   (Correct)
0.7:   Efficient Hidden Surface Removal for Objects with Small.. - Katz, Overmars, Sharir (1992)   (Correct)
0.6:   Randomized Search Trees - Seidel (1996)   (Correct)

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0.3:   Scanline Algorithms on a Grid - Karlsson, Overmars (1986)   (Correct)
0.2:   Translating Polygons with Applications to Hidden Surface Removal - de Berg (1989)   (Correct)

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5:   Ray shooting and parametric search (context) - Agarwal, Matousek - 1993
4:   Worst-case optimal hidden-surface removal (context) - McKenna - 1987
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BibTeX entry:   (Update)

M. T. Goodrich, M. J. Atallah, and M. H. Overmars, Output-sensitive methods for rectilinear hidden surface removal, Inform. Comput., 107 (1993), 1--24. http://citeseer.ist.psu.edu/goodrich93outputsensitive.html   More

@article{ goodrich93outputsensitive,
    author = "Michael T. Goodrich and Mikhail J. Atallah and Mark H. Overmars",
    title = "Output-Sensitive Methods for Rectilinear Hidden Surface Removal",
    journal = "Information and Computation",
    volume = "107",
    number = "1",
    pages = "1-24",
    year = "1993",
    url = "citeseer.ist.psu.edu/goodrich93outputsensitive.html" }
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69   Filtering Search: A New Approach to Query-Answering (context) - Chazelle - 1986
62   Introduction to Algorithms: A Creative Approach (context) - Manber - 1989
57   A Polyhedron Representation for Computer Vision (context) - Baumgart - 1975
40   Finding the Intersection of Two Convex Polyhedra (context) - Muller, Preparata - 1978
32   Design and Implementation of an Efficient Priority Queue (context) - Boas, Kaas et al. - 1977
31   Worst-case Optimal Hidden-Surface Removal (context) - McKenna - 1987
25   An Optimal Worst Case Algorithm for Reporting Intersections .. (context) - Bentley, Wood - 1980
22   Hidden Surface Removal for Rectangles (context) - Bern - 1988
22   Hidden Surface Removal for Rectangles (context) - Bern
14   Time and Space Bounds for Hidden Line and Hidden Surface Alg.. (context) - Schmitt
14   New Algorithms For Special Cases of the Hidden Line Eliminat.. (context) - Guting, Ottmann - 1987
14   A Fast Line-Sweep Algorithm For Hidden Line Elimination (context) - Nurmi - 1985
14   Output-Sensitive Hidden Surface Removal (context) - Overmars, Sharir - 1989
11   Computation of the Axial View of a Set of Isothetic Parallel.. (context) - Preparata, Vitter et al. - 1988
10   Quadratic Bounds for Hidden-Line Elimination (context) - D'evai - 1986
9   A Polygonal Approach to Hidden-Line Elimination (context) - Goodrich - 1987
4   private communication (context) - Paterson - 1989
3   Intersecting is Easier Than Sorting (context) - Chazelle - 1984
3   the Time and Space Complexity of Certain Exact Hidden Line A.. (context) - Schmitt - 1981
3   private communication (context) - Mehlhorn - 1989
3   Solving Visibility Problems by Using Skeleton Structures (context) - Ottmann, Widmayer - 1984
2   A Visibility Polygon Reconstruction Algorithm (context) - Sechrest, Greenberg - 1982
1   Visibility Problems for Orthogonal Objects in Two- or Three-.. (context) - Doh
1   An Optimal Query-Update Structure for the Interval Valuation.. (context) - Larmore - 1989
1   Presevering Order in a Forest in Less than Logarithmic Time .. (context) - Boas - 1977

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