The total variation seminorm of the indicator function within an open set counts only its interior interface. The perimeter of a zero extension may add a boundary contribution.

Ancestors (10)

  1. Set of finite perimeter
  2. Function of bounded variation on a domain
  3. Total variation seminorm on a domain
  4. Variational regularization
  5. Regularization of an inverse problem
  6. Inverse problem
  7. Analysis
  8. Area of mathematics
  9. Mathematics
  10. Home

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