Kaandorp J.A. — Fractal Modelling: Growth and Form in Biology :: Электронная библиотека попечительского совета мехмата МГУ

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Kaandorp J.A. — Fractal Modelling: Growth and Form in Biology

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Название: Fractal Modelling: Growth and Form in Biology

Автор: Kaandorp J.A.

Аннотация:

Fractal Modelling presents a fascinating world of growth and form, artificial life, computer graphics fractals, marine organisms, and biomonitoring. Using sponges and coral as a case study, the fractal geometry, methods discussed can be applied to various model growth forms and will be useful in studying a variety of forms, as well as environmental influences on the growth process.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1994

Количество страниц: 208

Добавлена в каталог: 30.11.2005

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Предметный указатель

$f(\alpha)$ function      74
$f(\alpha, \beta)$ function      155
$L(\theta)$ function      91
$L(\theta)$ function in 3D      172
$L2(\theta)$ function      173
representation      137
representation, child      138
representation, parent      138
$\mathcal{T}$ list of triangle lists      141
$\mathcal{T}$ the list of triangles      134
$\mathcal{V}$ list of vertex index lists      140
$\mathcal{V}$ the vertex index list      134
Acropora palmata      60 178 182
Alcyonium glomeratum      12
Anastomosis      52 99 182
Anisotropic growth      155 164
Anti-collision rule in 3D      171 178
Apical dominance      51 56
Association rule      79
Association rule in 3D      160
Association rule in 3D, algorithm      160
Association rule, algorithm      80
Aulonia hexagona      12 149
Autotrophic organisms      51 57 91 100
Avoidance rule      84
base element      27 36
Basic building elements      3
Bio-monitoring      112 126 192
Bleaching of corals      5
Bresenham algorithm      94
Bresenham algorithm in 3D      144 180
Cellular automata      21
Coat patterns      8
Coherence conserving rules in 3D      164
Collision detection      84 97
Collision detection in 3D      166 181
Collision detection in 3D, algorithm      166
Continuity rule      74 150
Contour photographs      104 110
Cup form      165 193
Curv-index term      158
Deletion rule      83
Deletion rule 1 in 3D      165
Deletion rule 2 in 3D      164
Dichotomous branching      15
Diffusion equation      19
Diffusion Limited Aggregation      18
DLA      18
dodecahedron      12
Dragon sweep, Iterated Function Systems      24
Dragon sweep, iterative geometric constructions      40
Dragon sweep, L-systems      14
Erosion value, gypsum blocks      105 116
Face      130
Flattened growth forms      156
Flood-fill algorithm      144 147
Fractal dimension      10
Fractal dimension, Haliclona oculata      110
Generator      27
Generator processing function      32
Generator selection function      43
Growth axes in 3D      159
Growth axis      57
Growth in a moving fluid      182
Growth process, abrasion      182
Growth process, equilibrium      21
Growth process, non-equilibrium      21
h(rad-curv) function      86
h(rad-curv) function, 3D      158
Halichondria panicea      66
Halidona oculata      58 66 191
Halidona oculata, aquiferous system      67
Halidona oculata, growth form, toxic agents      193
Halidona oculata, growth velocity      124
Halidona oculata, longitudinal section      66
Halidona oculata, oscillations in width      172
Halidona oculata, palmate growth forms      122
Halidona oculata, tangential view      67
Halidona simulans      67 87 129 133 148 191
Heterotrophic organisms      52 57 100
Homogeneous transformations      15
Icosahedral geodesic domes      148
IFS      23
Initiator      27
Insertion rule      75
Insertion rule 1 in 3D      150
Insertion rule 2 in 3D      156
Isotropic growth      154 165
Iterated Function Systems      23
Iteration processes      9
Iterative geometric constructions      27 53
Iterative geometric constructions in 3D      130
Iterative geometric constructions, algorithm      41
Iterative geometric constructions, connection attribute      39
Iterative geometric constructions, fertilization attribute      30
Iterative geometric constructions, geometrical restrictions      48
Iterative geometric constructions, growth process, influence environment      44
Iterative geometric constructions, growth process, internal properties      44
Iterative geometric constructions, local information      46
Iterative geometric constructions, modelling system      43
Iterative geometric constructions, production rule      27
Iterative geometric constructions, types attribute      38
k(c) function      95
k(c) function in 3D      180

Koch curve      10 27
L-Systems      13
Laplace equation      19 92 142
Laplace equation, approximation algorithm      22
Leaf, Iterated Function Systems      25
Light model, algorithm in 3D      173
Lindenmayer grammar      13
Linear fractals      30
Lithistids      13
local_light-intensity term      173
Longitudinal element      57
Longitudinal element in 3D      149
Marine organisms      4
Marking experiments, Halidona oculata      116
Maximum disc      105
Menger sponge      131
Millepora alcicornis      62
Modular growth      55
Modular growth, parallel      56
Monkeys tree      38
Monopodial branching      15
Montastrea annularis      60 64
Montastrea annularis, longitudinal section      64
Montastrea annularis, tangential view      64
Morphological skeleton      105
Non-intersection rule      48 84
Non-linear mappings      9
Objects      33
Oscillating max_curv      167
Phototropism, positive      178
Post-processing functions      48
Pythagoras tree      30
Radiate accretive growth      56
Radiate accretive growth in 3D      148
Radiate accretive growth, basic construction      69
Radiate accretive growth, basic construction in 3D      149
Radiate accretive growth, conservation of coherence      76
Radiate accretive growth, detection of local maxima in 3D      160
Radiate accretive growth, external rules      189
Radiate accretive growth, external secretion      92
Radiate accretive growth, fertilization      77
Radiate accretive growth, generator      69
Radiate accretive growth, generator processing function      69
Radiate accretive growth, generator processing function in 3D      149
Radiate accretive growth, growth axes      79
Radiate accretive growth, initiator      69
Radiate accretive growth, initiator in 3D      148
Radiate accretive growth, internal rules      189
Radiate accretive growth, internal secretion      74
Radiate accretive growth, light model      90
Radiate accretive growth, model of      69
Radiate accretive growth, nutrient distribution      92
Radiate accretive growth, nutrient distribution in 3D      180
Radiate accretive growth, nutrient distribution, algorithm      92
Radiate accretive growth, plate formation      83
Radiate accretive growth, radius of curvature      85
Radiate accretive growth, replacement system      83
Radiate accretive growth, replacement system in 3D      167
Radiate accretive growth, widening factor      79
Radiate accretive growth, widening factor in 3D      155
Radius of curvature in 3D      157 182
Ramifying object      30 45
Ramifying object, 3D equivalent      132
Ramifying object, irregular      32 46
Ramifying object, Iterated Function Systems      26
Ramifying object, self-avoiding      50
Ramifying object, vegetation of      35
Reaction diffusion mechanism      7
Relation D and max_curv      112
Relation da and erosion value      110
Relation da and max_curv      109
Relation db and erosion value      110
Relation db and max .curv      109
Relation rb and erosion value      110
Replacement system, base element      37
Replacement system, edge      29
Replacement system, face      131
Roots, seedplants      52
Scan-line filling algorithm in 3D      144
Secondary growth      118
Secretion of spicula      73
Sedimentation load      116
Self-seeding square      39
Self-seeding square, 3D equivalent      131
Self-similarity      10 103
Self-similarity, statistical      11
set_triangles(, ) the set of triangles      136 139
set_vertices(, ) the set of vertices      136
Shell patterns      8
Shielding by branches      95
Sierpinski arrowhead      39
Sierpinski arrowhead, 3D equivalent      130
Spicula      66
Spiny ball      37
Substrate-tropism, negative      95 114 126
Tangential element      57
Tangential element in 3D      150
Transplantation experiments      112
Triangular mesh, hierarchical description      140
Triangular tessellation, multi layered      140
Triangular tessellation, multi layered, lattice representation      142
Triangular tessellation, multi layered, virtual lattice representat      146
Triangular tessellation, single layered      134
Triangulated sphere      148

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