To the Graduate Council: I am submitting herewith a thesis written by ...

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viiList of FiguresFigure 1.1: Engineering and reverse engineering ..........................................................2Figure 1.2: Under vehicle inspection and surveillance ..................................................3Figure 1.3: Proposed approach ... ..................................................................................5Figure 2.1: Classification of shape description and representation adapted from[Zhang, 2004] ........................................................................................................9Figure 2.2: [Reproduced from Belongie, 2003] Shape Contexts ................................11Figure 2.3: Classification of methods on 3D data .......................................................17Figure 3.1: IVP Ranger SC-386 range acquisition system..........................................28Figure 3.2: Triangulation and range image acquisition ..............................................30Figure 3.3: The process of calibration ........................................................................32Figure 3.4: Graphical User Interface ..........................................................................33Figure 3.5: Block diagram of a laser-based reverse engineering system ...................34Figure 3.6: Model creation .........................................................................................35Figure 3.7: Data acquisition for under vehicle inspection ..........................................38Figure 4.1: A circle and an arbitrary object .................................................................40Figure 4.2: Block diagram of our CVM as the informational approach to shapedescription ...........................................................................................................41Figure 4.3: Block diagram of curvature-based vehicle component descriptionalgorithm including path decomposition and CVM computation .......................42Figure 4.4: Illustration to understand curvature of a surface .......................................44Figure 4.5: Illustration that shows the effect of bin width on density estimation using ahistogram .............................................................................................................49Figure 4.6: Different methods used to estimate the density of the same dataset.Reprinted from [Silverman, 1986] .......................................................................51Figure 4.7: Effect of bandwidth parameter on kernel density .....................................53Figure 4.8: Resolution issue with Shannon type measures .........................................58Figure 5.1: Neighborhood of a vertex in a triangle mesh ............................................60
viiiFigure 5.2: Curvature analysis – Multi-resolution error analysis experiment withfour different approaches to curvature estimation on triangle meshes ................62Figure 5.3: Curvature analysis – Error in curvature of a sphere at multiple resolutions..............................................................................................................................64Figure 5.4: Curvature analysis – Variation in curvature for surface description ........65Figure 5.5: Curvature-based descriptors.......................................................................67Figure 5.6: Implementation of Shape Distributions ....................................................68Figure 5.7: Shape Distributions and its uniqueness in description ..............................69Figure 5.8: Shape complexity measure– using Shannon’s definition of information .71Figure 5.9: Shape information and surface ruggedness ...............................................72Figure 5.10: Shape information divergence from the sphere – Experimental results onsuper quadrics .......................................................................................................73Figure 5.11: Surface description results - surface, curvature and density of curvature of(a) Spherical cap (b) Saddle (c) Monkey saddle ..................................................75Figure 5.12: Multi resolution experiment on the monkey saddle – The surface, itscurvature density and the measure of shape information ....................................76Figure 5.13: CVM graph results on simple mesh models: curvedness-based edgedetection, smooth patch decomposition and graph representation.......................78Figure 5.14: CVM graph results on automotive parts: curvedness-based edgedetection, smooth patch decomposition and graph representation ......................79Figure 5.15: CVM graph results on an under vehicle scene ........................................80
Page 1 and 2: To the Graduate Council:I am submit
Page 3 and 4: Acknowledgementsii“Experience is
Page 5 and 6: Contents1 INTRODUCTION.............
Page 7: List of TablesviTable 2.1:Qualitati
Page 11 and 12: Chapter 1: Introduction 21.1 Motiva
Page 13 and 14: Chapter 1: Introduction 41.2 Propos
Page 15 and 16: Chapter 1: Introduction 6We then pe
Page 17 and 18: Chapter 2: Literature Review 8Shape
Page 19 and 20: Chapter 2: Literature Review 102.2.
Page 21 and 22: Chapter 2: Literature Review 12Bimb
Page 23 and 24: Chapter 2: Literature Review 14is f
Page 25 and 26: Chapter 2: Literature Review 16foun
Page 27 and 28: Chapter 2: Literature Review 18Kort
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Page 31 and 32: Chapter 2: Literature Review 22Gots
Page 33 and 34: Chapter 2: Literature Review 24Tabl
Page 35 and 36: Chapter 3: Data Collection and Mode
Page 49 and 50: Chapter 4: Algorithm Overview 404.1
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Chapter 4: Algorithm Overview 50∞
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Chapter 4: Algorithm Overview 52The
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Chapter 4: Algorithm Overview 54smo
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Chapter 4: Algorithm Overview 564.2
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Chapter 4: Algorithm Overview 58Wit
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Chapter 5: Analysis and Results 60W
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Chapter 5: Analysis and Results 62S
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Chapter 5: Analysis and Results 64F
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Chapter 5: Analysis and Results 66t
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Chapter 5: Analysis and Results 68A
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Chapter 5: Analysis and Results 705
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Chapter 5: Analysis and Results 72S
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Chapter 5: Analysis and Results 74W
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Chapter 5: Analysis and Results 76C
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Chapter 5: Analysis and Results 78T
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Chapter 5: Analysis and Results 80(
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Chapter 6: Conclusions 82complexity
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Bibliography 84BIBLIOGRAPHY
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Bibliography 86[Biermann, 2001][Bel
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Bibliography 88[Cyr and Kimia, 2001
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Bibliography 90[Gourley, 1998][Gosh
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Bibliography 92[Joshi and Chang, 19
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Bibliography 94[Meyer, 2002][Morse,
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Bibliography 96[Safar et al., 2000]
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Bibliography 98parts,” IEEE Trans
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Vita 100VITASreenivas Rangan Sukuma
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