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Capturing the elevation dependence of ITD using an extension of the spherical-head model Rahulram Sridhar 3D3A Laboratory, Princeton University This talk is based on the work by Sridhar and Choueiri, published under the same title as paper


  1. Capturing the elevation dependence of ITD using an extension of the spherical-head model Rahulram Sridhar 3D3A Laboratory, Princeton University This talk is based on the work by Sridhar and Choueiri, published under the same title as paper number 9447 in the proceedings of the AES 139 th convention

  2. Outline • Introduction & motivation • Background & previous work • Spherical-head model for ITD estimation • Proposed extension to spherical-head model • Evaluation of models • Conclusions

  3. Outline • Introduction & motivation • Background & previous work • Spherical-head model for ITD estimation • Proposed extension to spherical-head model • Evaluation of models • Conclusions

  4. Introduction & motivation What is ITD? sound source Top view of human head

  5. Introduction & motivation Why must it be individualized? Top view of two different human heads showing variations in head shape and size Images taken from Ball et al. “A comparison between Chinese and Caucasian head shapes,” Applied Ergonomics 41 (2010) 832-839

  6. Introduction & motivation How should we individualize it?

  7. Outline • Introduction & motivation • Background & previous work • Spherical-head model for ITD estimation • Proposed extension to spherical-head model • Evaluation of models • Conclusions

  8. Background & Previous Work Techniques for estimating individualized ITDs From measured HRIRs 3,5 3D scan + acoustic ray tracing 6 Anthropometry-based model based on simple geometric shape of head 4,12 Anthropometry-based model based on spatial variation of ITD 7-10 References correspond to those in paper 9447 on which this talk is based

  9. Background & Previous Work Techniques for estimating individualized ITDs From measured HRIRs 3,5 Sound localization facility at Wright Patterson Air Force Base in Dayton, Ohio Image taken from Hartmann, W. M., “How We Localize Sound,” Physics Today, pp. 24-29, 1999 Numbered references correspond to those in paper 9447 on which this talk is based

  10. Background & Previous Work Techniques for estimating individualized ITDs 3D scan + acoustic ray tracing 6 Propagation delay visualization. Sound source is 39 deg. to the right of the dummy head Image take from Gamper, H. et al., “Estimation of multi path propagation delays and interaural time differences from 3-D head scans,” ICASSP 2015 Numbered references correspond to those in paper 9447 on which this talk is based

  11. Background & Previous Work Techniques for estimating individualized ITDs Anthropometry-based model based on simple geometric shape of head 4,12 References correspond to those in paper 9447 on which this talk is based

  12. Background & Previous Work Techniques for estimating individualized ITDs Anthropometry-based model based on simple geometric shape of head 4,12 Ellipsoidal-head model 4 fairly simple and accurate References correspond to those in paper 9447 on which this talk is based

  13. Background & Previous Work Techniques for estimating individualized ITDs Anthropometry-based model based on simple geometric shape of head 4,12 Ellipsoidal-head model 4 fairly simple and accurate tricky mapping to anthropometric features References correspond to those in paper 9447 on which this talk is based

  14. Background & Previous Work Techniques for estimating individualized ITDs Anthropometry-based model based on simple geometric shape of head 4,12 Ellipsoidal-head model 4 Spherical-head model 12 fairly simple and accurate tricky mapping to anthropometric features References correspond to those in paper 9447 on which this talk is based

  15. Background & Previous Work Techniques for estimating individualized ITDs Anthropometry-based model based on simple geometric shape of head 4,12 Ellipsoidal-head model 4 Spherical-head model 12 fairly simple and accurate easy mapping to anthropometric features tricky mapping to anthropometric features References correspond to those in paper 9447 on which this talk is based

  16. Background & Previous Work Techniques for estimating individualized ITDs Anthropometry-based model based on simple geometric shape of head 4,12 Ellipsoidal-head model 4 Spherical-head model 12 fairly simple and accurate easy mapping to anthropometric features tricky mapping to anthropometric features not so accurate References correspond to those in paper 9447 on which this talk is based

  17. Background & Previous Work Techniques for estimating individualized ITDs Anthropometry-based model based on spatial variation of ITD 7-10 References correspond to those in paper 9447 on which this talk is based

  18. Background & Previous Work Summary References correspond to those in paper 9447 on which this talk is based

  19. Outline • Introduction & motivation • Background & previous work • Spherical-head model for ITD estimation • Proposed extension to spherical-head model • Evaluation of models • Conclusions

  20. Spherical-head model for ITD estimation Introduction sound source Woodworth & Schlosberg formula 11 is speed of sound Spherical-head (Top View) References correspond to those in paper 9447 on which this talk is based

  21. Spherical-head model for ITD estimation Model formulation

  22. Spherical-head model for ITD estimation Model formulation single optimized head Fit radius per listener for many listeners

  23. Spherical-head model for ITD estimation Model formulation single optimized head Fit radius per listener for many listeners measured anthropometric data width height depth

  24. Spherical-head model for ITD estimation Model formulation single optimized head Fit radius per listener for many listeners measured anthropometric data Fit width height depth

  25. Spherical-head model for ITD estimation Model formulation single optimized head Fit radius per listener for many listeners measured anthropometric data Fit width substitute for height depth individualized

  26. Spherical-head model for ITD estimation Limitations 450 Azimuth = 45 ° 425 ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ Mean ITD ( μ s ) ▲ ▲ 400 ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ 375 ▲ ▲ ▲ ▲ ▲ Measured ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ 350 325 0 45 90 135 180 Elevation ( deg. )

  27. Spherical-head model for ITD estimation Limitations 450 Azimuth = 45 ° 425 ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ Mean ITD ( μ s ) ▲ ▲ 400 ▲ ▲ ▲ ▲ ▲ ▲ ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ▲ ▲ ▲ Spherical - head model 375 ▲ ▲ ▲ ▲ ▲ Measured ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ 350 325 0 45 90 135 180 Elevation ( deg. )

  28. Spherical-head model for ITD estimation Limitations

  29. Outline • Introduction & motivation • Background & previous work • Spherical-head model for ITD estimation • Proposed extension to spherical-head model • Evaluation of models • Conclusions

  30. Proposed extension to spherical-head model Introduction sound source Woodworth & Schlosberg formula 11 Spherical-head (Top View) References correspond to those in paper 9447 on which this talk is based

  31. Proposed extension to spherical-head model Introduction sound source Woodworth & Schlosberg formula 11 Formula for estimating low-frequency ITD 1 Spherical-head (Top View) References correspond to those in paper 9447 on which this talk is based

  32. Proposed extension to spherical-head model Introduction interaural axis elevation half-plane frontal axis azimuth Interaural coordinate system

  33. Proposed extension to spherical-head model Model formulation

  34. Proposed extension to spherical-head model Model formulation performed per half-plane single optimized head Fit radius per listener per half-plane for many listeners

  35. Proposed extension to spherical-head model Model formulation performed per half-plane single optimized head Fit radius per listener per half-plane for many listeners measured anthropometric data arc length (approx.) width depth height

  36. Proposed extension to spherical-head model Model formulation performed per half-plane single optimized head Fit radius per listener per half-plane for many listeners measured anthropometric data arc length (approx.) width Fit performed per depth height half-plane

  37. Proposed extension to spherical-head model Model formulation performed per half-plane single optimized head Fit radius per listener per half-plane for many listeners measured anthropometric data arc length (approx.) width Fit performed per depth height substitute for half-plane individualized

  38. Proposed extension to spherical-head model Model formulation (low-frequency ITD) performed per half-plane single optimized head Fit radius per listener per half-plane for many listeners measured anthropometric data arc length (approx.) width Fit performed per depth height substitute for half-plane individualized

  39. Outline • Introduction & motivation • Background & previous work • Spherical-head model for ITD estimation • Proposed extension to spherical-head model • Evaluation of models • Conclusions

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