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

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Presentation on theme: "A Mathematical Theory of Primal Sketch & Sketchability C. Guo, S. C. Zhu, Y. N.Wu UCLA."— Presentation transcript:

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

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4 V1 cells: filters or bases?

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

6 Complexity scaling global sketchability: entropy rate

7 Markov random field complexity Sparse coding complexity Connection

8 Strategy of V1 1.Line-up large filter responses for sketchable 2.Pool weak filter responses for non-sketchable Local sketchability: for a local patch I Two interpretations 1.Likelihood ratio test 2.Coding after lateral inhibition

9 Gestalt field Model refinements 1.Bases  extendable ridge functions (Kim’s thesis) 2.MRF added  MRF interpolating sketchable

10 input image fast sketching pursuit result fast sketching refinement result synthesized imagesketch imagefast sketching pursuit and refinement procedure ( gif movie, show slide to view it )

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13 input image fast sketching pursuit result fast sketching refinement result synthesized imagesketch imagefast sketching pursuit and refinement procedure

14 synthesized imagesketch imagefast sketching pursuit and refinement procedure input image fast sketching pursuit result fast sketching refinement result

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17 input image fast sketching pursuit result fast sketching refinement result synthesized imagesketch imagefast sketching pursuit and refinement procedure

18 input image fast sketching pursuit result fast sketching refinement result synthesized imagesketch imagefast sketching pursuit and refinement procedure

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20 synthesized imagesketch imagefast sketching pursuit and refinement procedure input image fast sketching pursuit result fast sketching refinement result

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22 input image fast sketching pursuit result fast sketching refinement result synthesized imagesketch imagefast sketching pursuit and refinement procedure

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