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Supervisory Committee Dr. Brian Wyvill, Supervisor (Department of Computer Science) Free-Form Deformation for Implicit Surfaces Dr. Amy Gooch, Departmental Member (Department of Computer Science) Dr. Bruce Gooch, Departmental Member (Department of Computer Science) by Masamichi Sugihara B.Sc., Hosei University, 2006 ii
Supervisory Committee Dr. Brian Wyvill, Supervisor (Department of Computer Science) Dr. Amy Gooch, Departmental Member (Department of Computer Science) Dr. Bruce Gooch, Departmental Member (Department of Computer Science) ABSTRACT Implicit surfaces offer many advantages for sketch-based modeling systems, such as blending, CSG, and a procedural object hierarchy. Free-form deformation (FFD) is also extremely useful in this context, however existing FFD approaches do not sup- port implicit surface representations, and FFD lattice manipulation is time-consuming compared to sketch-based techniques. In this thesis, an FFD technique suitable for implicit surface representations is described. To enhance real-time feedback, the problem is split into an approximate formulation used during interactive deformation, and a more robust variational technique which preserves desirable scalar field properties. As an interface to manipulate the deformation, a sketch-based volumetric peeling interface is introduced. The user’s task is to draw a curve on the surface, and pull or push the surface to the desirable position via the curve. Subsequently, the deformation is automatically defined. This technique has been implemented in a prototype implicit FFD system called Taco. Results created in Taco show that a desirable deformation can be easily achieved while preserving implicit properties. iii
Page 1: Free-Form Deformation for Implicit
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 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
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Figure 5.4: An example of distance
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Figure 5.7: When the handle vertex
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y the field value and then summed.
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5.4 Scalar Field Re-construction Wh
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5.4.2 Variational Warping Variation
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outside the deformation field is ev
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Chapter 6 Results and Conclusion Th
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Figure 6.1: The dragon was deformed
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Figure 6.3: The horse model was tra
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6.2 Limitations There are a few lim
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twisted scalar field cannot be re-c
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Bibliography [1] Adzhiev, V., Cartw
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[19] Gascuel, M.-P. An implicit for
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[40] Pasko, A., Adzhiev, V., Sourin
Page 81:
[60] Wyvill, B., Guy, A., and Galin
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