Energy Minimization

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Computer Vision
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Synonyms

Convex optimization; Convex minimization; Discrete optimization

Related Concepts

Definition

Energy minimization is a subtopic of optimization, where we minimize some energy/cost function by suitable algorithms. The type of energy is twofold: continuous and discrete.

Background

In computer vision problems, we often encounter situations of minimizing energy functions (or cost functions) that are designed to estimate, reconstruct, or process something. There are two major categories of energy minimization. One is that the target can be represented as a vector in the N-dimensional Euclidean space, i.e., the case of continuous energy. For example, if the target is a gray scale image and if each pixel value is handled as a real value, then the image can be treated as an N-dimensional vector, where Nis the number of the pixels. The other is that the target takes a discrete value, i.e., the case of discrete energy. A typical example is image segmentation...

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Correspondence to Shunsuke Ono .

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Ono, S., Saito, M. (2021). Energy Minimization. In: Ikeuchi, K. (eds) Computer Vision. Springer, Cham. https://doi.org/10.1007/978-3-030-63416-2_833

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