The Geometry of Ships

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Index Terms Links pole 18 polygon 14 27 31 41 polygon meshes 27 27f polygonal holes 41 polyhedral models 31 31f polyline 2 4 14 26 30 41 porcupine displays 12 13f pressure 38 39 primitive solids 32 32f 33f principal curvatures 18 principal directions 19 principal curves, of hull surface definition 34 prism 42 prismatic coefficient 4 46 48 procedural surfaces, in relational geometry 23 projected curve (ProjCurve) 16 projected magnet 26 Projected Point (ProjPoint) 10 projections 15 16 17 20 23 26 29 31 34 42 Pythagoras’ theorem 7 Q quadrilateral 32 R radar cross-section 28 37 53 radar reflectivity 53 54f radius, metacentric 45 49 50 56 rational polynomial 12 19 ray tracing 19 reflection lines 19 registered tonnage 55 regulation 2 relational curves 16 relational frames 9
Index Terms Links relational geometry (RG) 5 25 31 50 beads in 6 16 entities in 5 magnets in 26 snakes in 29 surfaces in 23 relational points 9 10f relational surfaces 23 relative bead 16 relative magnet 26 Relative Point (RelPoint) 10 rendering 1 repair 3 reparameterization of parametric curves 15 representation 1 resident snake 29 resistance 2 31 37 45 46 49 50 right-hand rule 7 7f right-handed coordinate system 7 7f rigid body of B-spline surface 21 of subdivision surfaces 28 rings 6 roll stability 50 rotations 9 44 rudders 54 ruled solid 31 ruled surface 21 22f 23 rulings 22 S sailing vessels 50 55 salinity 38 scale drawings 1 scaling 8 9 10 36 46 48 See also affine stretching
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
Page 20 and 21:
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 80 and 81: Index Terms Links coordinates, homo
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 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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