🔬 Discovery

Calderón's inverse problem (impedance tomography)

Problema inverso de Calderón (tomografía de impedancia)

Date
1980 · confidence high
Place
Rio de Janeiro, Brazil
Credited to
Alberto P. Calderón
Field
Knowledge & symbols

What was discovered

Calderón asked whether the conductivity inside a body can be determined from voltage and current measurements on its surface. The problem is the mathematical basis of electrical impedance tomography.

Calderón, an Argentine trained in Buenos Aires and based in the United States, presented it at the Rio de Janeiro Seminar on Numerical Analysis (1980); the paper was reprinted in 2006.

What it led to

  • Electrical impedance tomography
  • Modern theory of inverse problems
  • Sylvester–Uhlmann uniqueness results (1987)

Links

Sources✓ verified 2026-11-04