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A Mathematical Theory of Primal Sketch & Sketchability

A Mathematical Theory of Primal Sketch & Sketchability. C. Guo, S. C. Zhu, Y. N.Wu UCLA. Sketchability scale-distance-complexity. UCLA Bruin Walk. V1 cells: filters or bases?. Two mathematical models. 1. Sparse coding (Olshausen, Field). Coefficients sparse

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A Mathematical Theory of Primal Sketch & Sketchability

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  1. A Mathematical Theory of Primal Sketch & Sketchability C. Guo, S. C. Zhu, Y. N.Wu UCLA

  2. Sketchability scale-distance-complexity UCLA Bruin Walk

  3. V1 cells: filters or bases?

  4. Two mathematical models 1. Sparse coding (Olshausen, Field) Coefficients sparse Constructive, inhibition, low complex regime 2. Markov random field (Zhu, Wu, Mumford) Unif{I: subband histograms = p_k} Restrictive, no inhibition, high complex regime Complete basis: 1 and 2 are equivalent  ICA, restructive

  5. Complexity scaling global sketchability: entropy rate

  6. Markov random field complexity Sparse coding complexity Connection

  7. Strategy of V1 • Line-up large filter responses for sketchable • Pool weak filter responses for non-sketchable Local sketchability: for a local patch I • Two interpretations • Likelihood ratio test • Coding after lateral inhibition

  8. Gestalt field • Model refinements • Bases  extendable ridge functions (Kim’s thesis) • MRF added  MRF interpolating sketchable

  9. fast sketching pursuit result fast sketching refinement result input image synthesized image sketch image fast sketching pursuit and refinement procedure (gif movie, show slide to view it)

  10. fast sketching pursuit result fast sketching refinement result input image synthesized image sketch image fast sketching pursuit and refinement procedure

  11. fast sketching pursuit result fast sketching refinement result input image synthesized image sketch image fast sketching pursuit and refinement procedure

  12. fast sketching pursuit result fast sketching refinement result input image synthesized image sketch image fast sketching pursuit and refinement procedure

  13. fast sketching pursuit result fast sketching refinement result input image synthesized image sketch image fast sketching pursuit and refinement procedure

  14. fast sketching pursuit result fast sketching refinement result input image synthesized image sketch image fast sketching pursuit and refinement procedure

  15. fast sketching pursuit result fast sketching refinement result input image synthesized image sketch image fast sketching pursuit and refinement procedure

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