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Figure 4.5: Blending and CSG operators can be performed interactively after variational warping. This model is the one shown in Figure 4.3a to which Blending and CSG operators were applied. This model shows that Blending and CSG operators work after variational warping is applied because this model has smooth transitions and sharp edges. Figure 4.6: Stretched model (a). Original model (b). Squashed model (c). The user can stretch or squash the model just by pulling or pushing the deformation curve the user drew. Although the volumetric peeling interface presented is similar to the interface of FiberMesh [32], deformation behaviors in the FiberMesh system are different from the volumetric peeling interface. This is because the interior of the deformed model of FiberMesh is not taken into account. In the FiberMesh system, the user first edits the shapes of the deformation curves with peeling effects and then the model is deformed according to the deformation curves. Therefore, peeling effects are restricted in deformation curves, so it is difficult to achieve the deformation results shown in Figure 4.6. Nevertheless, this is also the strength of FiberMesh and the limitation of the volumetric peeling interface. FiberMesh can localize deformation along deformation curves by restricting peeling effects even if the user peels a deformation curve far away. On the other hand, the volumetric peeling interface shifts from local deformation to 33
global deformation according to the amount of peeling. This methodology limits the effects of achievable local deformation. A possible approach to have local effects in the volumetric peeling interface is to add a curve editing function like FiberMesh. In the current Taco system, the user can pull a entire deformation curve but cannot change the shape of the curve. By enabling deformation curves to be edited, the volumetric peeling interface would be able to have both of local and global peeling effects. 34
Page 1 and 2: Free-Form Deformation for Implicit
Page 3 and 4: Supervisory Committee Dr. Brian Wyv
Page 5 and 6: 3.1.1 Lattice-Based FFD . . . . . .
Page 7 and 8: List of Figures Figure 1.1 Deformat
Page 9 and 10: Figure 4.2 The rigidity of the surf
Page 11 and 12: Figure 5.11An example deformation p
Page 13 and 14: ACKNOWLEDGEMENTS First I would like
Page 15 and 16: of lattice manipulation is that man
Page 17 and 18: 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: Figure 4.4: Grid and curve visualiz
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 and 76: Bibliography [1] Adzhiev, V., Cartw
Page 77 and 78: [19] Gascuel, M.-P. An implicit for
Page 79 and 80: [40] Pasko, A., Adzhiev, V., Sourin
Page 81: [60] Wyvill, B., Guy, A., and Galin

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