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SCAF: Simplicial Complex Augmentation Framework for Bijective Maps Zhongshi Jiang, New York University Scott Schaefer, Texas A&M University Daniele Panozzo, New York University Maps Simplicial Complex Augmentation Zhongshi Jiang 2


  1. SCAF: Simplicial Complex Augmentation Framework for Bijective Maps • Scaffold Optimization • Global Knowledge • Collision Resolution Simplicial Complex Augmentation Zhongshi Jiang 32 Framework for Bijective Maps

  2. SCAF: Simplicial Complex Augmentation Framework for Bijective Maps • Scaffold Optimization • Global Knowledge • Collision Resolution Simplicial Complex Augmentation Zhongshi Jiang 33 Framework for Bijective Maps

  3. SCAF: Simplicial Complex Augmentation Framework for Bijective Maps • Scaffold Optimization • Global Knowledge • Collision Resolution Simplicial Complex Augmentation Zhongshi Jiang 33 Framework for Bijective Maps

  4. SCAF: Simplicial Complex Augmentation Framework for Bijective Maps • Scaffold Optimization • Global Knowledge • Collision Resolution Simplicial Complex Augmentation Zhongshi Jiang 33 Framework for Bijective Maps

  5. SCAF: Simplicial Complex Augmentation Framework for Bijective Maps • Scaffold Optimization • Global Knowledge • Collision Resolution Simplicial Complex Augmentation Zhongshi Jiang 33 Framework for Bijective Maps

  6. SCAF: Simplicial Complex Augmentation Framework for Bijective Maps • Scaffold Optimization • Global Knowledge • Collision Resolution Simplicial Complex Augmentation Zhongshi Jiang 33 Framework for Bijective Maps

  7. SCAF: Simplicial Complex Augmentation Framework for Bijective Maps • Scaffold Optimization • Global Knowledge • Collision Resolution Simplicial Complex Augmentation Zhongshi Jiang 33 Framework for Bijective Maps

  8. SCAF: Simplicial Complex Augmentation Framework for Bijective Maps • Scaffold Optimization • Global Knowledge • Collision Resolution Simplicial Complex Augmentation Zhongshi Jiang 34 Framework for Bijective Maps

  9. SCAF: Simplicial Complex Augmentation Framework for Bijective Maps • Scaffold Optimization • Global Knowledge • Collision Resolution Simplicial Complex Augmentation Zhongshi Jiang 34 Framework for Bijective Maps

  10. Formulation coordinates Simplicial Complex Augmentation Zhongshi Jiang 35 Framework for Bijective Maps

  11. Formulation coordinates Simplicial Complex Augmentation Zhongshi Jiang 35 Framework for Bijective Maps

  12. Formulation coordinates Simplicial Complex Augmentation Zhongshi Jiang 35 Framework for Bijective Maps

  13. Formulation coordinates Simplicial Complex Augmentation Zhongshi Jiang 35 Framework for Bijective Maps

  14. Formulation Simplicial Complex Augmentation Zhongshi Jiang 36 Framework for Bijective Maps

  15. Formulation [Rabinovich et al 2017] Simplicial Complex Augmentation Zhongshi Jiang 36 Framework for Bijective Maps

  16. Formulation [Rabinovich et al 2017] Simplicial Complex Augmentation Zhongshi Jiang 37 Framework for Bijective Maps

  17. Formulation [Rabinovich et al 2017] Simplicial Complex Augmentation Zhongshi Jiang 37 Framework for Bijective Maps

  18. Formulation [Rabinovich et al 2017] Simplicial Complex Augmentation Zhongshi Jiang 37 Framework for Bijective Maps

  19. Triangulation • Local Update • Edge Flip [Zhang et al [M ü ller et al 2005] 2015] Simplicial Complex Augmentation Zhongshi Jiang 38 Framework for Bijective Maps

  20. Triangulation • Local Update • Edge Flip [Zhang et al [M ü ller et al 2005] 2015] Simplicial Complex Augmentation Zhongshi Jiang 38 Framework for Bijective Maps

  21. Triangulation • Local Update • Edge Flip Simplicial Complex Augmentation Zhongshi Jiang 39 Framework for Bijective Maps

  22. Triangulation • Direct reconstruct • Coarse Simplicial Complex Augmentation Zhongshi Jiang 40 Framework for Bijective Maps

  23. Triangulation • Direct reconstruct • Coarse Simplicial Complex Augmentation Zhongshi Jiang 40 Framework for Bijective Maps

  24. Triangulation • Direct reconstruct • Coarse Simplicial Complex Augmentation Zhongshi Jiang 40 Framework for Bijective Maps

  25. Triangulation • Direct reconstruct • Coarse Simplicial Complex Augmentation Zhongshi Jiang 40 Framework for Bijective Maps

  26. Triangulation • Direct reconstruct • Coarse Simplicial Complex Augmentation Zhongshi Jiang 41 Framework for Bijective Maps

  27. Triangulation • Direct reconstruct • Coarse Simplicial Complex Augmentation Zhongshi Jiang 41 Framework for Bijective Maps

  28. Triangulation • Direct reconstruct • Coarse Simplicial Complex Augmentation Zhongshi Jiang 42 Framework for Bijective Maps

  29. Triangulation • Direct reconstruct • Coarse Simplicial Complex Augmentation Zhongshi Jiang 43 Framework for Bijective Maps

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