Image Inpainting Marcelo Bertalmío, Minnesota

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Presentation transcript:

Image Inpainting Marcelo Bertalmío, Minnesota Guillermo Sapiro, Minnesota Vicent Caselles, Barcelona Coloma Ballester, Barcelona SIGGRAPH ‘00

Overview What is image inpainting Related work Digital inpainting Examples Concluding remarks

What is inpainting? Modifying an image in a non-detectable form Detail of "Cornelia, Mother of the Gracchi" by J. Suvee (Louvre). Taken from Emile-Male “The Restorer’s Handbook of easel painting”.

Photo restoration Restoration courtesy of D. Henry, Precious Photos Inc.

Object removal From D. King, “The Commissar vanishes”.

Related work: Films n-1 n n+1 e.g. Kokaram et al. Doesn’t work for stills or static objects n-1 n n+1

Related work: Texture synthesis Hirani, Efros, Heeger, DeBonet, Simoncelli, etc. Not practical for rich regions Not designed for structured regions “Copy” information instead of “learn and interpolate”

Related work: Disocclusion Masnou-Morel, Nitzberg-Mumford, etc. Limitations: Topology, angles See also Chan-Shen ‘00

Our Contribution User only selects region to inpaint Rich background and topology not an issue Less than 5 minutes on a PC + =

How conservators inpaint Minneapolis Institute of Art

Automatic digital inpainting Propagate information Evolutionary form

Digital inpainting (cont’d) L = smoothness estimator (Laplacian) N = isophote direction (time variant)

The equation Plus numerical schemes (Osher) Boundary conditions Gray values (in a band) Directions (in a band)

Example

Example: Text removal

Example: Photo restoration

Example: Special effects

Example: Scratch removal

Example: The evolution

Example: Structure but not texture is reproduced.

Extension: A variational formulation Solved via E-L: Coupled 2nd order PDE’s Full theory given Similar practical results than 3rd order equation See also Chan-Shen ‘00

Concluding remarks Technique imitates professionals Key concepts Information propagation Both gray values and directions are needed Use a band surrounding the region Sharp results Low complexity Texture is not reproduced

Concluding remarks (cont.) Connected to thin film and fluid dynamics (A. Betozzi) Opens then door to high order PDE’s Extended to a variational formulation

Acknowledgments Institute Henri Poincare in Paris, France. Tom Robbins, Elizabeth Buschor, Santiago Betelú, Stan Osher, Eero Simoncelli, Andrea Bertozzi. Supported by ONR-Math, ONR Young Investigator Award, Presidential Early Career Awards for Scientists and Engineers, NSF CAREER Award, NSF-LIS, and IIE-Uruguay.

The end Thank you