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Chapter 5: Analysis and Results 71(a)X-ray image SCM = 1.227 SCM = 2.3458 SCM=3.4050 SCM = 0.891(b)Range ImageSCM = 0.5(c)SCM = 1.7Figure 5.8: Shape complexity measure– using Shannon’s definition of information.(a) Results on simple curves. (b) Results on segmented objects from the X-ray imageof a baggage. (c) Results on segmented contours from a range image.
Chapter 5: Analysis and Results 72SCM =0.6 SCM = 1.276 SCM =2.2(a) (b) (c)Figure 5.9: Shape information and surface ruggedness. (a) Shape informationmeasured on a DEM of a plain terrain. (c) Shape information on a plateau terrain. (d)Shape information on a mountainous terrain.In Figure 5.9 we show three surfaces. Figure 5.9(a) can be considered to represent aplain while Figure 5.9(b) and 5.9(c) represent a plateau and a mountainous region,respectively. We have color coded each of these surfaces by the scale that we show inthe picture. In agreement to our perceptual thinking we observe that the informationthat the total curvature conveys about each of these surfaces is well quantified bySCM.5.3.3 3D Mesh ModelsWe see that the CVM algorithm behaves as expected in Figure 5.9 (a) – (c) but still notrobust because of the assumption on resolution and sampling. We counter the problemof resolution as lack of information. We compensate with the information that for acontour its circumscribing circle of the same resolution, a plane of the same resolutionfor a surface and a circumscribing sphere for 3D models would have the least shapeinformation. We use the circumscribing reference because it is easy to determine fromthe characteristics of the model and we might lose an important length dimension if wemake use of an inscribed reference. The inscribed sphere, for instance, on a cylindercould turn out to be too small compared to the size of the cylinder and might not be agood reference. We measured shape complexity as the shape information distancebetween the two datasets and used the KL divergence measure (Equation 4.24) on superquadrics of varying shape factors. We present those results in Figure 5.10.
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To the Graduate Council:I am submit
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Acknowledgementsii“Experience is
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Contents1 INTRODUCTION.............
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List of TablesviTable 2.1:Qualitati
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viiiFigure 5.2: Curvature analysis
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Chapter 1: Introduction 21.1 Motiva
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Chapter 1: Introduction 41.2 Propos
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Chapter 1: Introduction 6We then pe
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Chapter 2: Literature Review 8Shape
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Chapter 2: Literature Review 102.2.
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Page 91 and 92: Chapter 6: Conclusions 82complexity
Page 93 and 94: Bibliography 84BIBLIOGRAPHY
Page 95 and 96: Bibliography 86[Biermann, 2001][Bel
Page 97 and 98: Bibliography 88[Cyr and Kimia, 2001
Page 99 and 100: Bibliography 90[Gourley, 1998][Gosh
Page 101 and 102: Bibliography 92[Joshi and Chang, 19
Page 103 and 104: Bibliography 94[Meyer, 2002][Morse,
Page 105 and 106: Bibliography 96[Safar et al., 2000]
Page 107 and 108: Bibliography 98parts,” IEEE Trans
Page 109: Vita 100VITASreenivas Rangan Sukuma
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