6533b7d6fe1ef96bd1266462
RESEARCH PRODUCT
Total Variation Based Image Restoration
Fuensanta Andreu-vailloVicent CasellesJosé M. Mazónsubject
Point spread functionImage formationPhysicsDiscrete mathematicssymbols.namesakeMatrix (mathematics)Sampling (signal processing)Operator (physics)symbolsInterval (mathematics)Dirac combImage restorationdescription
For the purpose of image restoration the process of image formation can be modeled in a first approximation by the formula [207] $$ {u_d} = Q\{ II(k*u) + n\} , $$ (1.1) where u represents the photonic flux k is the point spread function of the optical-captor joint apparatus П is a sampling operator, i.e., a Dirac comb supported by the centers of the matrix of digital sensors, n represents a random perturbation due to photonic or electronic noise, and Qis a uniform quantization operator mapping ℝ to a discrete interval of values, typically [0, 255].
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2004-01-01 |