articleJun 1, 2013GREEN OA

Supervised Descent Method and Its Applications to Face Alignment

Carnegie Mellon University

Indexed incrossrefdatacite

Abstract

Many computer vision problems (e.g., camera calibration, image alignment, structure from motion) are solved through a nonlinear optimization method. It is generally accepted that 2nd order descent methods are the most robust, fast and reliable approaches for nonlinear optimization of a general smooth function. However, in the context of computer vision, 2nd order descent methods have two main drawbacks: (1) The function might not be analytically differentiable and numerical approximations are impractical. (2) The Hessian might be large and not positive definite. To address these issues, this paper proposes a Supervised Descent Method (SDM) for minimizing a Non-linear Least Squares (NLS) function. During…

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1,945
total citations
FWCI
189.17
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100%
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40
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Authors

2

Topics & keywords

Keywords
  • Hessian matrix
  • Computer science
  • Jacobian matrix and determinant
  • Context (archaeology)
  • Gradient descent
  • Coordinate descent
  • Artificial intelligence
  • Differentiable function
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