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Malthus and Solow − a note on closed−form solutions
"... Recently, Jones (2002} and Barro and Sala−í−Martin (2004) pointed out that the neoclassical growth model with a Cobb−Douglas technology has a closed−form solution. This note makes a similar remark for the Malthusian model: I develop and characterize a closed−form solution. Moreover, I emphasize stru ..."
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Recently, Jones (2002} and Barro and Sala−í−Martin (2004) pointed out that the neoclassical growth model with a Cobb−Douglas technology has a closed−form solution. This note makes a similar remark for the Malthusian model: I develop and characterize a closed−form solution. Moreover, I emphasize
Closed-form solution of absolute orientation using unit quaternions
- J. Opt. Soc. Am. A
, 1987
"... Finding the relationship between two coordinate systems using pairs of measurements of the coordinates of a number of points in both systems is a classic photogrammetric task. It finds applications in stereophotogrammetry and in robotics. I present here a closed-form solution to the least-squares pr ..."
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Cited by 973 (4 self)
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Finding the relationship between two coordinate systems using pairs of measurements of the coordinates of a number of points in both systems is a classic photogrammetric task. It finds applications in stereophotogrammetry and in robotics. I present here a closed-form solution to the least
Error Analysis on Closed-Form Solutions for Kinematic Calibration
, 1996
"... Many closed-form solutions have been developed for calibrating robot kinematic parameters. The existing closed-form solutions for kinematic calibration can be classfied into two categories according to the information they used. Methods estimating kinematic parameters by using pose measurements are ..."
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Cited by 1 (1 self)
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Many closed-form solutions have been developed for calibrating robot kinematic parameters. The existing closed-form solutions for kinematic calibration can be classfied into two categories according to the information they used. Methods estimating kinematic parameters by using pose measurements
Closed Form Solutions of Hybrid Systems
, 1999
"... this paper we present a new symbolic approach to hybrid systems. Hybrid systems are systems containing both, continuous and discrete changing quantities. We model hybrid systems using hybrid automata: Hybrid automata extend the classical notion of finite state machines by combining differential equa ..."
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equations to model the dynamic behavior of systems with a finite control. In contrast to other approaches we consider a hybrid automata as a generalization of differential equations and develop the notion of a symbolic "closed form" solution of a hybrid automata. A closed form solution
A Closed-Form Solution to Natural Image Matting
- IEEE TRANS. PAMI
, 2008
"... Interactive digital matting, the process of extracting a foreground object from an image based on limited user input, is an important task in image and video editing. From a computer vision perspective, this task is extremely challenging because it is massively ill-posed—at each pixel we must estim ..."
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Cited by 136 (2 self)
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, or perform iterative nonlinear estimation by alternating foreground and background color estimation with alpha estimation. In this paper, we present a closed-form solution to natural image matting. We derive a cost function from local smoothness assumptions on foreground and background colors and show
A closed-form solution to the ramification problem (sometimes
- In Proceedings of the Workshop on Nonmonotonic Reasoning, Action and Change, Fifteenth International Joint Conference on Artificial Intelligence
, 1997
"... Our general concern is with how to integrate a representation of action into an existing set of state constraints. As has been observed in the literature, state constraints implicitly define indirect effects of actions as well as indirectly imposing further preconditions on the performance of action ..."
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Cited by 24 (4 self)
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contributions. The first contribution is provision of an axiomatic closed-form solution to the frame, ramification and qualification problems for a common class of ramification constraints. The solution is presented in the form of an automatable procedure that compiles a syntactically restricted set
Head-Eye Coordination: A Closed-Form Solution
, 1996
"... In this paper, we presentanovel solution for implementing Head-Eye coordination whichisanintelligenthuman behavior. Wedevelop the principle of determining a third unknown view from twoknown views and apply it to solve Head-Eye coordination problem. The advantages of our solution are: (a) a closed ..."
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closed-form solution is obtained and (b) "one-step" or "two-step" control algorithm can be implemented in a straightforward way.
Efficient Closed-Form Solution to Generalized Boundary Detection
"... Abstract. Boundary detection is essential for a variety of computer vision tasks such as segmentation and recognition. We propose a unified formulation for boundary detection, with closed-form solution, which is applicable to the localization of different types of boundaries, such as intensity edges ..."
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Cited by 12 (2 self)
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Abstract. Boundary detection is essential for a variety of computer vision tasks such as segmentation and recognition. We propose a unified formulation for boundary detection, with closed-form solution, which is applicable to the localization of different types of boundaries, such as intensity
A closed-form solution for . . . Stochastic Volatility
, 2011
"... We derive a closed-form solution for the price of a European call option in the presence of am-biguity about the stochastic process that determines the variance of the underlying asset's return. The option pricing formula of Heston (1993) is a particular case of ours, corresponding to the case ..."
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We derive a closed-form solution for the price of a European call option in the presence of am-biguity about the stochastic process that determines the variance of the underlying asset's return. The option pricing formula of Heston (1993) is a particular case of ours, corresponding to the case
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