Computing the fundamental matrix is the first step of many computer vision applications including camera calibration, image rectification and structure from motion. A new method for the estimation of the fundamental m...
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ISBN:
(纸本)9783642238956
Computing the fundamental matrix is the first step of many computer vision applications including camera calibration, image rectification and structure from motion. A new method for the estimation of the fundamental matrix from point correspondences is presented. The minimization of the geometric error is performed based L-infinity norm minimization framework. A single global minimum exists and it may be found by SOCP (Second-Order Cone Programming), which is a standard technique in convex optimization. In a SOCP a linear function is minimized over the intersection of an affine set and the product of second-order (quadratic) cones. Several efficient primal-dual interior-point methods for SOCP have been developed. Experiments on real images show that this method provides a more accurate estimate of the fundamental matrix and superior to previous approaches, and the method is no need for normalization of the image coordinates.
Scheduling dependent tasks is one of the most challenging problems in parallel and distributed systems. It is known to be computationally intractable in its general form as well as several restricted cases. An interes...
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ISBN:
(纸本)9780889866379
Scheduling dependent tasks is one of the most challenging problems in parallel and distributed systems. It is known to be computationally intractable in its general form as well as several restricted cases. An interesting application of scheduling is in the area of energy awareness for mobile battery operated devices where minimizing the energy utilized is the most important scheduling policy consideration. A number of heuristics have been developed for this consideration. In this paper, we study the scheduling problem for a particular battery model. In the proposed work, we show how to enhance a well know approach of accounting for the slack generated at runtime due to the difference between WCET (Worst Case Execution Time) and AET (Actual Execution Time). Our solution exploits the fact that even though some tasks become available based on the actual periodicity of a task they are not executed because the run queue is determined by the schedule generated in the offline phase I of the algorithm using the conservative EDF (Earliest Deadline First) algorithm. We peek at the task run-queue to find such tasks to eliminate wastage of the slack generated. Based on the outcome of the conducted experiments, the proposed algorithm outperformed or matched the performance of the 2-Phase dynamic task scheduling algorithm all the time.
Technology is an indication of energy use, and specifically, the use of electricity plays a significant role in impacting the environment. As technology continues to advance, the importance of sustainability grows, en...
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Bentley and Ottmann1 present an algorithm for reporting all K intersections among TV planar line segments in 0((N + K) log N) time and 0(N + K) storage. With a small modification that storage requirement can be reduce...
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The kernel K(P) of a simple polygon P wah n verUces is the locus of the points internal to P from which all verUces of P are wslble Equwalently, K(P) is the mtersectmn of appropriate half-planes determined by the poly...
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A recursive stochastic optimization procedure under dependent disturbances is studied. It is based on the Polyak-Ruppert algorithm with trajectory averaging. Almost sure convergence of the algorithm is proved as well ...
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A recursive stochastic optimization procedure under dependent disturbances is studied. It is based on the Polyak-Ruppert algorithm with trajectory averaging. Almost sure convergence of the algorithm is proved as well as asymptotic normality of the delivered estimates. It is shown that the presented algorithm attains the highest possible asymptotic convergence rate for stochastic approximation algorithms
The norm optimal approach, both in its basic form and the extension to predictive action, where the predicted errors on a number of future trials are explicitly included in the cost function for controller design, is ...
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The norm optimal approach, both in its basic form and the extension to predictive action, where the predicted errors on a number of future trials are explicitly included in the cost function for controller design, is now a well established area in iterative learning control in terms of the underlying theory. By the fact that it includes the predicted errors on future trials in the cost function, predictive iterative learning control is clearly a higher order law. Hence it is now appropriate to ask if, in practical situations, predictive norm optimal iterative learning control can deliver significantly improved performance over its norm optimal alternative to merit the extra computational and hardware costs associated with its application. This is the area addressed in this paper using a somewhat new application area in the form of chain conveyor systems.
One of the classics in the field of Location Science is the book on the theory of industrial location by Weber (1909). Weber used a simple construct comprised of a 3-point triangle to describe important issues, includ...
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One of the classics in the field of Location Science is the book on the theory of industrial location by Weber (1909). Weber used a simple construct comprised of a 3-point triangle to describe important issues, including where raw materials for manufacturing are sourced. Virtually all of the research conducted in the last 50 years related to Weber's construct has overlooked major elements of his work. This includes the issue of sourcing needed raw materials, which can be limited, as an integral part the location problem. This paper explores one form of raw material sourcing first described by Weber in which each raw material source is limited by a fixed capacity. We show that most instances of this location problem are non-convex as well as propose a solution procedure. We also explore a related problem where the facility itself can be of limited capacity and not all demands can be served. These two models can serve as building blocks for a greater exploration of many of the important problem facets proposed by Weber in his seminal work.
An adaptive tracking problem is considered for a linear stochastic SISO control plant. Several information bounds are obtained under a variety of conditions imposed on the disturbances and control strategies.
An adaptive tracking problem is considered for a linear stochastic SISO control plant. Several information bounds are obtained under a variety of conditions imposed on the disturbances and control strategies.
We prove that prefix sums of n integers of at most b bits can be found on a COMMON CRCW PRAM in time with a linear time-processor product. The algorithm is optimally fast, for any polynomial number of processors. In p...
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We prove that prefix sums of n integers of at most b bits can be found on a COMMON CRCW PRAM in time with a linear time-processor product. The algorithm is optimally fast, for any polynomial number of processors. In particular, if the time taken is . This is a generalisation of previous result. The previous time algorithm was valid only for O(log n)-bit numbers. Application of this algorithm to r-way parallel merge sort algorithm is also considered. We also consider a more realistic PRAM variant, in which the word size, m, may be smaller than b (m≥log n). On this model, prefix sums can be found in optimal time.
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