The notion of Kolmogorov program-size complexity (or algorithmic information) is defined here for arbitrary objects. Using a special form of recursive topological spaces, called partition spaces, we define a recursive topology which uses a level of partition for approximation of arbitrary objects in
On the complexity of coordinated display of multimedia objects
β Scribed by Martha L. Escobar-Molano; Shahram Ghandeharizadeh
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 387 KB
- Volume
- 242
- Category
- Article
- ISSN
- 0304-3975
No coin nor oath required. For personal study only.
β¦ Synopsis
A multimedia presentation can be represented as a collection of objects with temporal constraints that deΓΏne when the objects are rendered. The display of a presentation is termed coordinated when the display of its objects respects the pre-speciΓΏed temporal constraints. Otherwise, the display might su er from failures that translate into meaningless scenarios. For example, a chase scene between a dinosaur and a jeep becomes meaningless if the system fails to render the dinosaur when displaying the scene.
A previous study (M.L. Escobar-Molano et al., IEEE Trans. Knowledge Data Eng. 8 (3) (1996) 508 -511) introduced a resource scheduling technique that guarantees a coordinated display of a presentation for single-disk architectures. This technique minimizes both latency and memory requirements and has a worst case time complexity O(n lg n). This paper extends the previous study to multi-disk architectures and demonstrates the following: (1) the computation of a resource schedule that supports a coordinated display and yields the minimum latency is NP-hard, and (2) the computation of the minimum memory requirements to support a coordinated display within a pre-speciΓΏed latency is NP-hard.
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