The Geometry of Ships

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Index Terms Links coordinates, homogenous 8 9 CopyPoint 10 corners, of B-spline surface 21 cubic spline 12 curvature compound 19 of a curve 12 double 19 Gaussian 19 19f 22 24 geodesic 29 mean 19 normal 18 18f 29 principal 18 of surfaces 18 18f 19f curvature profiles 12 13f curves analytic properties of 11 B-spline 14 14f Bezier 15 Bonjean 51 51f 52f conic section 15 21 continuity of 15 control 20 definition of 10 explicit 11 12 fairness of 12 flat-of-bottom 34 flat-of-side 34 flexible 36 geometry of 10 implicit 10 from intersections 15 30 master 20 mathematical definitions of 10 NURBS curves 15 parametric 11 11f 12 15 planar 12 points embedded in 16
Index Terms Links curves (Cont.) principal 34 projection onto surfaces 29 29f from projections 15 relational 16 snakes 29 29f spline 12 subcurves 6 on surfaces 29 29f trimming 25 25f curves of form 48 48f cylinder 22 cylindrical polar coordinates 8 D deadweight 55 deck camber 53 decks 3 53 56 definition, levels of 3 degrees of freedom 44 dependents, in directed graphs 5 descendents, in directed graphs 5 design waterline (DWL) 4 developable surfaces 19 22 22f 23 46 development 23 diagonals 26 36 37 differential geometry 11 17 digraph 5 dilatation 46 dimension-driven solid modeling 33 dimensionality 7 dimensionless parameters 16 31 directed graph (digraph) 5 discretization 2 17 24f 31 37 42 42f discretized domains 32
Page 2 and 3:
The Principles of Naval Architectur
Page 4 and 5:
Nomenclature m A A
Page 6 and 7:
x PREFACE computations are presente
Page 8 and 9:
Section 1 Geometric Modeling for Ma
Page 10 and 11:
THE GEOMETRY OF SHIPS 3 Although fi
Page 12 and 13:
THE GEOMETRY OF SHIPS 5 and their f
Page 14 and 15:
THE GEOMETRY OF SHIPS 7 The concept
Page 16 and 17:
THE GEOMETRY OF SHIPS 9 while an un
Page 18 and 19:
10 THE PRINCIPLES OF NAVAL ARCHITEC
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Page 22 and 23:
Page 24 and 25:
Page 26 and 27:
THE GEOMETRY OF SHIPS 17 plicit sur
Page 28 and 29:
THE GEOMETRY OF SHIPS 19 Fig. 13 Pa
Page 30 and 31: THE GEOMETRY OF SHIPS 21 4.9 B-spli
Page 32 and 33: THE GEOMETRY OF SHIPS 23 Fig. 19 A
Page 34 and 35: THE GEOMETRY OF SHIPS 25 A typical
Page 36 and 37: THE GEOMETRY OF SHIPS 27 Section 5
Page 38 and 39: THE GEOMETRY OF SHIPS 29 A curve ly
Page 40 and 41: 30 THE PRINCIPLES OF NAVAL ARCHITEC
Page 46: Fig. 32 The lines plan of a cargo s
Page 49 and 50: THE GEOMETRY OF SHIPS 37 curves, ty
Page 51 and 52: THE GEOMETRY OF SHIPS 39 tration of
Page 53 and 54: THE GEOMETRY OF SHIPS 41 Alternativ
Page 55 and 56: THE GEOMETRY OF SHIPS 43 The genera
Page 57 and 58: THE GEOMETRY OF SHIPS 45 where: L a
Page 61 and 62: THE GEOMETRY OF SHIPS 47 Define the
Page 63 and 64: THE GEOMETRY OF SHIPS 49 Molded dis
Page 65 and 66: THE GEOMETRY OF SHIPS 51 11.2 Bonje
Page 68 and 69: THE GEOMETRY OF SHIPS 53 Section 12
Page 70 and 71: THE GEOMETRY OF SHIPS 55 Fig. 41 A
Page 74 and 75: THE GEOMETRY OF SHIPS 57 surface ab
Page 76 and 77: INDEX Note: Page numbers followed b
Page 78 and 79: Index Terms Links center of buoyanc
Page 82 and 83: Index Terms Links displacement 3 4
Page 84 and 85: Index Terms Links geometry definiti
Page 86 and 87: Index Terms Links isoparms 17 K kee
Page 88 and 89: Index Terms Links model (Cont.) sca
Page 90 and 91: Index Terms Links pole 18 polygon 1
Page 92 and 93: Index Terms Links seakeeping 2 31 3
Page 94 and 95: Index Terms Links surfaces (Cont.)
Page 96 and 97: Index Terms Links triangle mesh 27f
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The Geometry of Ships

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