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[9] Botsch, M., Pauly, M., Wicke, M., and Gross, M. Adaptive space deformations based on rigid cells. Computer Graphics Forum 26, 3 (2007), 339– 347. [10] Cani, M.-P., and Desbrun, M. Animation of deformable models using implicit surfaces. IEEE Transactions on Visualization and Computer Graphics (TVCG) 3, 1 (1997). [11] Carr, J. C., Beatson, R. K., Cherrie, J. B., Mitchell, T. J., Fright, W. R., McCallum, B. C., and Evans, T. R. Reconstruction and represen- tation of 3d objects with radial basis functions. In SIGGRAPH ’01: Proceedings of the 28th annual conference on Computer graphics and interactive techniques (2001), pp. 67–76. [12] Chen, B.-Y., Ono, Y., Johan, H., Ishii, M., Nishita, T., and Feng, J. 3d model deformation along a parametric surface. In Proceedings of the 2nd IASTED International Conference on Visualization, Imaging and Image Processing (2002), pp. 282–287. [13] Coquillart, S. Extended free-form deformation: a sculpturing tool for 3d geometric modeling. In SIGGRAPH ’90: Proceedings of the 17th annual conference on Computer graphics and interactive techniques (1990), pp. 187–196. [14] Crespin, B. Implicit free-form deformations. In Proceedings of Implicit Surfaces ’99 (1999), pp. 17–23. [15] de Groot, E., and Wyvill, B. Rayskip: faster ray tracing of implicit surface animations. In GRAPHITE ’05: Proceedings of the 3rd international conference on Computer graphics and interactive techniques in Australasia and South East Asia (2005), pp. 31–36. [16] Dijkstra, E. W. A note on two problems in connexion with graphs. Nu- merische Mathematik 1 (1959), 269–271. [17] Gain, J., and Bechmann, D. A survey of spatial deformation from a user- centered perspective. ACM Transactions on Graphics 27, 4 (2008), 1–21. [18] Galbraith, C., Mundermann, L., and Wyvill, B. Implicit Visualization and Inverse Modeling of Growing Trees . Computer Graphics Forum 23, 3 (2004), 337–348. 63
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Page 1 and 2:
Free-Form Deformation for Implicit
Page 3 and 4:
Supervisory Committee Dr. Brian Wyv
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3.1.1 Lattice-Based FFD . . . . . .
Page 7 and 8:
List of Figures Figure 1.1 Deformat
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Figure 4.2 The rigidity of the surf
Page 11 and 12:
Figure 5.11An example deformation p
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ACKNOWLEDGEMENTS First I would like
Page 15 and 16:
of lattice manipulation is that man
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Figure 1.1: Deformation for implici
Page 19 and 20:
Chapter 2 Introduction to Implicit
Page 21 and 22:
Figure 2.1: Skeletons and skeletal
Page 23 and 24:
Figure 2.3: Variational interpolati
Page 25 and 26: fields fA(p) and fB(p) can be simpl
Page 27 and 28: Figure 2.6: Voxelization. A set of
Page 29 and 30: model, even novice users can create
Page 31 and 32: Chapter 3 Background and Previous W
Page 33 and 34: Figure 3.1: Lattice-based FFD. The
Page 35 and 36: Figure 3.2: An implicit model befor
Page 37 and 38: into several systems. Chameleon [22
Page 39 and 40: as follows: • ShapeShop enables t
Page 41 and 42: Chapter 4 Deformation Interface Thi
Page 43 and 44: 4.2 Interface Design This deformati
Page 45 and 46: Figure 4.4: Grid and curve visualiz
Page 47 and 48: global deformation according to the
Page 49 and 50: Chapter 5 Deformation Algorithm Thi
Page 51 and 52: 5.2 Voxelization The user draws a c
Page 53 and 54: Figure 5.4: An example of distance
Page 55 and 56: Figure 5.7: When the handle vertex
Page 57 and 58: y the field value and then summed.
Page 59 and 60: 5.4 Scalar Field Re-construction Wh
Page 61 and 62: 5.4.2 Variational Warping Variation
Page 63 and 64: outside the deformation field is ev
Page 65 and 66: Chapter 6 Results and Conclusion Th
Page 67 and 68: Figure 6.1: The dragon was deformed
Page 69 and 70: Figure 6.3: The horse model was tra
Page 71 and 72: 6.2 Limitations There are a few lim
Page 73 and 74: twisted scalar field cannot be re-c
Page 75: Bibliography [1] Adzhiev, V., Cartw
Page 79 and 80: [40] Pasko, A., Adzhiev, V., Sourin
Page 81: [60] Wyvill, B., Guy, A., and Galin
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