Optimal approximations by piecewise smooth functions and associated variational problems
Introduces and studies three variational problems for optimally approximating images by piecewise smooth functions, motivated by computer vision.
This paper introduces and studies three new variational problems motivated by applications to computer vision. A fundamental problem is to appropriately decompose the domain of an image function g(x,y)—the light intensity striking a plane domain when a three-dimensional world is viewed from a point. Because light reflected from distinct objects strikes different regions, the image is generally discontinuous along the boundaries, or edges, between them. The variational problems formalize optimal approximation of such images by piecewise smooth functions over these regions.
Based on: Optimal approximations by piecewise smooth functions and associated variational problems · Semantic Scholar
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