Jean-Laurent Mallet. Geomodeling
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588
BIBLIOGRAPHY
[126]
Lebart,
L.,
Morineau,
A.,
and
Warwick
K.M., (1984). Multivariate Descriptive
Statistical Analysis.
John
Wiley
and
Sons,
New
York,
231 p.
[127]
Lecour,
M.,
Cognot,
R.,
Dulac,
J.C.,
Thore,
P.,
(1999). From
A-Priori
to
Stochastic Structural
Models.
Int. Assoc. Math.
Geol.
5th
Conference.
Ed. by
S.
J.
Lippard S.J., Naess,
A. and
Sinding-Larsen
R.,
Trondheim,
Norway,
V.
2,
pp.
609-614.
[128]
Leger,
M.,
Morvan, J.M., Thibaut,
M.,
(1993). Least square Optimization
of
Fault
Surfaces
Using
the
Rigid Block Approximation. Expanded Abstract,
Annual
SEG
Conference, Washington,
pp.
154-157.
[129]
Legras,
J.,
(1971).
Methodes
et
techniques
de
I'analyse
numerique.
Paris,
Dunod,
240 p.
[130]
LeMelinaire,
P.,
(1992). Modelisation
de
Relations
Geometriques
par la
Methode
DSL
Ph.D. thesis,
Institut
National Polytechnique
de
Lorraine,
Nancy,
France.
[131]
Levy,
B. and
Mallet, J.L., (1998). Non-distorted texture
mapping
for
sheared
triangulated
meshes.
ACM-SIGGRAPH
1998 Conference Proceedings,
Or-
lando, Florida,
pp.
343-352.
[132]
Levy,
B.,
(1999).
Modelisation
a
base
topologique:
Combinatoire
et
Plonge-
ment.
Ph.D. thesis,
Institut
National Polytechnique
de
Lorraine, Nancy,
France.
[133] Libing,
W.,
(1993).
Probability
field
simulation. Proceedings
of the
1993 meet-
ing,
Stanford Center
for
Reservoir Forecasting, Journel,
A.
(ed.), Stanford
University,
20 p.
[134]
Lienhardt,
P.,
(1989). Subdivisions
of
N-Dimensional
Spaces
and N-
Dimensional
Generalized
Maps.
Proc.
Annual
A.C.M.
Symposium
on
Com-
putational
Geometry, Saarbrucken,
R.F.A.,
June 1989,
pp.
228-236.
[135]
Lienhardt,
P.,
(1989). Subdivisions
of
surfaces
and
generalized maps.
Proc.
Eurographics 1989, Hamburg, Germany, September 1989,
pp.
439-452.
[136]
Lienhardt,
P.,
(1991). Subdivision
de
surfaces
et
cartes
generalisees.
Rairo
info,
theorique
et
applications,
V. 25, No. 2, pp.
171-202.
[137]
Lienhardt,
P.,
(1991).
Topological
models
for
boundary
representation:
a
com-
parison with
n-dimensional
generalized maps.
C.A.D.,
V. 23, No. 1, pp.
59-82.
[138]
Lienhardt,
P.,
(1994). N-Dimensional Generalized Combinatorial
Maps
and
Cellular
Quasi-Manifolds.
International
Journal
of
Computational Geometry
and
Applications,
V. 4, No. 3
(1994),
pp.
275-324.
[139]
M.
Loeve, (1955). Probability theory.
Van
Nostrand, Princeton,
New
Jersey.
[140]
Loop,
C.,
(1994).
A
G
1
triangular
surface
of
arbitrary
topological
type.
Computer-Aided
Geometric Design,
V.
11,
pp.
303-330.
[141]
Luenberger, D.G., (1969). Optimization
by
vector
space
methods.
John
Wiley,
New
York,
326 p.
[142]
Lundell, A.T.
and
Weingram,
S.,
(1969).
The
topology
of CW
Complexes.
Van
Nostrand Reinhold,
New
York.
[143]
Magara,
K.,
(1976). Water expulsion from elastic sediments during com-
paction:
direction
and
volumes.
Am.
Assoc. Pet. Geol. Bull.
V. 60, pp.
543-
553.
BIBLIOGRAPHY
589
[144]
Mallet,
J.L.,
(1974). Presentation
d'une
methode
d'interpolation
et
d'une
methode
de filtrage.
Ph.D.
thesis,
Institut
National Polytechnique
de
Lorraine,
Nancy,
Prance.
[145]
Mallet,
J.L.,
(1974).
Methodes
et
techniques
de la
cartographie
automatique
numerique.
Sciences
de la
terre, Nancy,
Serie
Informatique
Geologique,
V. 4,
280
p.
[146]
Mallet,
J.L.,
(1984). Automatic contouring
in
presence
of
discontinuities.
Geo-
statistics
for
Natural Resource Characterization, NATO
AST
Series
C:
Math.
and
Phys.
Sciences,
V.
122,
Reidel,
pp.
669-677.
[147]
Mallet,
J.L.,
(1989). Discrete Smooth Interpolation.
ACM-Transactions
on
Graphics,
V. 8, No. 2, pp.
121-144
[148]
Mallet,
J.L.,
(1992).
gOcad:
A
Computer-Aided
Design Program
for
Geological
Applications
in
Turner,
K.
(ed.), Three-Dimensional Modeling with Geoscien-
tific
Information Systems, Kluwer Academic Publishers, Dordrecht, Holland,
Nato
ASI
Series
C, V.
354,
pp.
123-141.
[149]
Mallet,
J.L.,
(1992). Discrete Smooth Interpolation
in
Geometric Modeling.
Computer-Aided Design,
V. 24, No. 4, pp.
177-191
[150]
Mallet,
J.L.,
(1997). Discrete
Modeling
for
Natural
Objects.
Journal
of
Math-
ematical Geology,
V. 29, No. 2, pp.
199-219
[151]
Mallet,
J.L.,
and
Shtuka,
A.,
(2000). Blending Based Stochastic Simulators.
Journal
of
Mathematical Geology,
V. 32, No. 3, pp.
367-379.
[152] Mantyla,
M.,
(1988).
An
Introduction
to
Solid Modeling. Computer Science
Press,
Rockville, Maryland,
401 p.
[153]
Mao,
S., and
Journel,
A.,
(1997). Stochastic
mapping
of
layer
surfaces
con-
strained
by
seismic
data
and
deviated
wells. Proceedings
of the
1997
meeting,
Stanford
Center
for
Reservoir Forecasting, Journel
A.
(ed.),
Stanford Univer-
sity,
26 p.
[154]
Marechal,
A.,
(1984).
Kriging
seismic data
in
presence
of
faults. Geostatistics
for
Natural Resource Characterization, NATO
ASI
Series
C:
Math,
and
Phys.
Sciences,
V.
122,
Reidel,
pp.
271-294.
[155]
Mariez,
O.,
(1997).
Modelisation
de
Solides
par
synthese
de
I'analyse
d'images
3D et de
modeles
d
base
de
surfaces
non
differentiates.
Ph.D.
thesis,
Institut
National Polytechnique
de
Lorraine, Nancy, France.
[156]
Matheron,
G.,
(1968).
Les
Variables
Regionalisees
et
leur
Estimation.
Masson,
Paris.
[157]
Matheron,
G.,
(1973).
The
intrinsic random functions
and
their applications.
Advances
in
Applied Probability,
V. 5, pp.
439-468.
[158]
Maunder, C.R.F., (1996). Algebraic
Topology.
Dover Publications
inc.,
Mine-
ola,
New
York,
375 p.
[159]
M.
Metivier, (1968). Notions
Fondamentales
de la
Theorie
des
Probabilites.
Dunod,
Paris,
304 p.
[160]
Medwedeff,
D.A.,
and
Suppe,
J.,
(1986).
Kinematics,
timing
and
rates
of
fold-
ing
and
faulting from synthetonic sediments geometry (abs.)
EOS,
V. 67, p.
1223.
590
BIBLIOGRAPHY
[161]
Meyers,
D., and
Sloan
K.,
(1992).
Surfaces
from contours.
ACM
Trans.
Graph.,
V.
11 No. 3, pp.
228-258.
[162]
Millman,
D.,
and
Parker,
K.,
(1977). Elements
of
Differential
Geometry.
Prentice-Hall, Englewood
Cliffs,
New
Jersey.
[163]
Minoux,
M.,
(1983). Programmation
mathematique.
Dunod, Paris,
294 p.
[164]
Moretti,
I.,
and
Larrere,
M.,
(1989).
LOCACE:
Computer-Aided
Construction
of
Balanced
Geological
Cross Sections. Geobyte (October),
pp.
16-24.
[165]
Morgan,
F.,
(1993).
Riemannian
Geometry. Jones
and
Bartlett, Boston,
119
P-
[166]
Mortenson, M.E., (1985). Geometric
Modeling.
John Wiley,
New
York,
763 p.
[167]
Nielson, G.M., (1987).
A
Transfinite,
Visually
Continuous, Triangular
Inter-
polant.
In
Geometric Modeling: Algorithms
and New
Trends, Farin G.E.
(ed.),
SIAM
publ.
co.,
pp.
235-246.
[168]
Omre,
H.,
(1984).
The
variogram
and its
estimation.
Geostatistics
for
natural
resources characterization,
Verly,
G., et
al.
(ed.),
Reidel, Dordrecht, Holland,
pp.
107-125.
[169]
O'Rourke,
J.,
(1994). Computational Geometry
in C.
Dover Publications,
New
York,
286 p.
[170]
Overveld, C.W., (1995). Pondering
on
discrete smoothing
and
interpolation.
Computer-Aided Design,
V. 27, No. 5, pp.
377-384.
[171]
Pardo-Iguzquisa,
E. and
Chica-Olmo,
M.,
(1993).
The
Fourier Integral
Method:
an
efficient
spectral
method
for
simulation
of
random
fields.
Jour-
nal of
Mathematical Geology,
V. 25, No.
2.,
pp.
350-365.
[172]
Pegna,
J.,
and
Wolter, F.E., (1992). Geometrical Criteria
to
Guarantee Cur-
vature
Continuity
of
Blend
Surfaces.
Transactions
of
ASME, Journal
of Me-
chanical Design 114,
pp.
201-210.
[173]
Piper,
B.,
(1987).
Visually
smooth interpolation with triangular Bezier
patches. Society
of
Industrial
Applied
Mathematics
(SIAM): Geometric Mod-
eling,
Algorithms
and New
Trends, Farin, G.E.
(ed.),
pp.
221-233.
[174]
Poincare,
H.,
(1895). Analysis
situ.
Journal
de
1'Ecole
Poly
technique,
V. 2,
No.
1, pp.
1-121.
[175]
Poincare,
H.,
(1900). Second complement
a
I'analysis
situ.
Proc. London Mat.
Soc.,
No. 32, pp.
277-308.
[176]
Poincare,
H.,
(1904).
Cinquieme
complement
a
I'analysis
situ.
Re.
Circ. Mat.
Palermo,
No. 18, pp.
45-110.
[177]
Press,
H.,
Teukolsky, S.A., Vetterling, W.T.,
and
Flannery, B.P., (1992).
Nu-
merical
Recipies. Cambridge University Press, Cambridge,
994 p.
[178]
Rajan, V.T., (1991).
Optimality
of
the
Delaunay triangulation
in
R
d
.
Proc.
7th
Annual
ACM
Sympos. Comput. Geom.,
pp.
357-363.
[179]
Rossignac,
J.,
and
O'Connor,
M.,
(1989). SGC:
a
Dimension-Independent
Model
for
Pointsets with Internal Structures
and
Incomplete Boundaries.
Ge-
ometric Modeling
for
Product Engineering, Wosny,
M.,
et al.
(ed.),
North-
Holland,
Proceedings
of the
IFIP/INSF
Workshop
on on
Geometric Modeling.
Rensselaeville, USA, September 1988,
pp.
145-180.
BIBLIOGRAPHY
591
[180]
Rossignac,
J., and
Requicha,
A.,
(1991). Constructive Non-Regularized Geom-
etry.
Computer-Aided Design,
V. 23, No. 1, pp.
21-32.
[181] Rossignac,
J.,
(1996).
Specification,
representation,
and
construction
of
non-
manifold
geometric structures.
ACM
Siggraph
96
course: Computational Rep-
resentations
of
Geometry, 1996.
[182]
Rossignac,
J.,
and
Cardoz,
D.,
(1997). Structured
Topological
Complexes:
A
feature-based
API for
non-manifold
topologies.
Proceedings
of the ACM
Sym-
posium
on
Solid Modeling 1997,
pp.
1-9.
[183]
Rossignac,
J.,
and
Cardoz,
D.,
(1999). Matchmaker:
Manifold
BReps
for
non-
manifold
r-sets. Proceedings
of the ACM
symposium
on
Solid Modeling,
pp.
31-41.
[184]
Rossignac,
J.,
(1999).
Edgebreaker:
Connectivity compression
for
triangle
meshes.
IEEE
Transactions
on
Visualization
and
Computer Graphics,
V. 5,
No.
1, pp.
1-17.
[185]
Rossignac,
J.,
and
Szymczak,
A.,
(1999).
Wrap
and Zip
decompression
of the
connectivity
of
triangle meshes
compressed
with Edgebreaker. Computational
Geometry (Elsevier),
V. 14, pp.
119-135.
[186]
Le
Roux,
J.P.,
(1992). Determining
the
channel sinuosity
of
ancient
fluvial
systems from
paleo-current
data. Journal
of
Sedimentary Petrology,
V. 62,
No.
2, pp.
283-291.
[187]
Rouby,
D.,
Cobbold, P.R.,
et
al.,
(1993). Least square palinspastic restoration
of
regions
of
normal faulting
—
application
to the
Campos basin
(Brazil).
Tectono-physics,
V.
221,
pp.
439-452.
[188]
Royer, J.J.,
and
Shtuka,
A.,
(1997). Stochastic imaging
of
environmental data
Geosciences
and
Water Resources, Bardinet
P., and
Royer J.J. (ed.), Springer
Verlag,
Berlin
, pp.
101-114.
[189]
Ruspini,
E.,
(1970). Numerical
Methods
for
Fuzzy
Clustering. Inf. Sci.,
V. 2,
pp.
319-350.
[190]
Rutherford,
A.,
(1962).
Vectors,
Tensors
and the
Basic Equations
of
Fluid
Mechanics.
Cambridge University Press,
New
York,
346 p.
[191]
Sage,
L.,
Mosconi,
A.,
Moretti,
I.,
Riva,
E.,
and
Roure,
F.,
1991,
Cross
section
balancing
in the
central Apennines:
An
application
o/LOCACE.
The
American
Association
of
Petroleum Geologists,
pp.
832-844.
[192]
Samson,
P.,
(1996).
Equilibrage
de
structures
geologiques
3D
dans
le
cadre
du
projet
gOcad. Ph.D. thesis,
Institut
National Polytechnique
de
Lorraine,
Nancy,
France.
[193]
Samson,
P., and
Mallet, J.L., (1997). Curvature analysis
of
triangulated sur-
faces.
Journal
of
Mathematical Geology,
V. 29, No. 3, pp.
391-412.
[194]
Schwartz
L.,
(1959).
Theorie
des
Distributions. Hermann,
Paris,
352 p.
[195]
Schwarzacher
W.,
(1975). Sedimentation
Models
and
Quantitative Stratigra-
phy. Elsevier,
New
York,
382 p.
[196]
Sclater, J.G.,
and
Christie, P.A.F., (1980). Continental stretching:
an
expla-
nation
of the
post-mid-Cretaceous
subsidence
of the
Central North
Sea
Basin.
In
J.
Geophysical
Res.,
V. 85, pp.
3711-3739.
592
BIBLIOGRAPHY
[197]
Segonds,
D.,
(1998). Integration
de
I'approche
parametrique
dans
le
geomodeleur
gOcad. Ph.D. thesis,
Institut
National Polytechnique
de
Lor-
raine, Nancy, Prance.
[198]
Sedov,
L.,
(1975).
Mecanique
des
milieux continus. Editions MIR,
Moscou,
1975,
539 p.
[199]
Shtuka,
A.,
(1994). Simulation, traitement
et
visualisation
des
images
numeriques:
apport
du
codage
par
indicatrices
en
geostatistiques.
Ph.D. the-
sis,
Institut National Polytechnique
de
Lorraine, Nancy, France.
[200]
Shtuka,
A.,
Samson, Ph.,
and
Mallet, J.L., (1996). Petrophysical simulation
within
an
object-based
reservoir model. Proc. NPF/SPE-European
3D
Reser-
voir Modeling Conf.
Stavanger,
pp.
47-56.
[201]
Shmaryan,
L.,
and
Hewett,
T.,
(1996). Fast Probability Field Simulation with
FFT. Proceedings
of the
1996 meeting, Stanford Center
for
Reservoir Fore-
casting, Journel
A.
(ed.), Stanford University,
25 p.
[202]
Sibson,
R.,
(1981).
A
brief
description
of
natural neighbour interpolation.
In-
terpolating multivariate
data,
Barnett,
V.
(ed.),
John Wiley,
pp.
21-36.
[203]
Sneath,
P.H.A.,
and
Sokal,
R.,
(1973). Numerical Taxonomy. Freeman,
San
Francisco,
367 p.
[204]
Sokolnikoff,
I.S.,
(1956). Mathematical
Theory
of
Elasticity. McGraw-Hill,
New
York, 1956,
476 p.
[205]
SokolnikofT,
I.S.,
(1964). Tensor Analysis:
Theory
and
Applications
to
Geom-
etry
and
Mechanics
of
Continua. John Wiley,
New
York, 1964,
361 p.
[206]
Sokolnikoff,
I.S.,
(1956). Mathematics
of
physics
and
modern engineering.
McGraw-Hill,
New
York, 1966,
752
p.
[207]
Srivastava, R.M., (1992). Reservoir Characterization with Probability Field
Simulation. Proceedings
of the
67th
SPE
conference, Washington,
D.C.,
article
No.
24753, Soc.
of
Pet. Eng.,
pp.
927-938.
[208]
Stocker, J.J., (1969).
Differential
Geometry. Wiley,
New
York.
[209]
Strang,
G.,
(1976). Linear Algebra
and its
Applications. Harcourt Brace
and
Co.,
international edition,
New
York,
505 p.
[210]
Stolum, H.H., (1996). River meandering
as a
self-organising
process. Science,
V.
272, March 1996.
[211]
Suppe,
J.,
(1983). Geometry
and
kinematics
of
fault
bend
folding.
Am. J.
Sci.,
No.
283,
pp.
684-724.
[212]
Suppe,
J.,
(1985). Principles
of
Structural
Geology.
Prentice-Hall, Englewood
Cliffs,
New
Jersey.
[213]
Suppe,
J.,
and
Xiao, H.B., (1992).
On the
origin
of
Roll Over. American
Association
of
Petroleum Geologists Bulletin,
V. 76, No. 4, pp.
509-529.
[214]
Sun,
T.,
Meakin,
P.,
Torstein,
J.,
and
Schwartz
K.,
(1996).
A
simulation
model
for
meandering rivers.
Water
Resources Research,
V. 32, No. 9, pp.
2937-2954.
[215]
Tarantola,
A.,
(1987). Inverse Problem Theory. Elsevier, Amsterdam,
613 p.
[216]
Thibaut,
M.,
(1994).
Geometric
des
surfaces
de
faille
et
depliage
3D.
Methodes
et
applications. Ph.D. Thesis, Joseph Fourier University, Grenoble, France.
BIBLIOGRAPHY
593
[217]
Tipper,
J.,
(1976).
The
study
of
geological
objects
in
three dimensions
by the
computerized
reconstruction
of
serial sections.
Journal
of
Geology,
V. 84, pp.
476-484.
[218]
Tipper,
J.,
(1977).
A
method
and
Fortran program
for the
computerized
re-
construction
of
three dimensional
objects
from serial cross sections. Computer
and
Geosciences,
V. 3, pp.
579-599.
[219]
Tompson,
A.F.B.,
Abadou,
R., and
Gelhar,
L.W., (1989). Implementation
of
the
three-dimensional turning
bands
random
field
generator.
Water
Resources
Research,
V. 25, No. 10, pp.
2227-2243.
[220]
Turk,
G., and
O'Brien, J.F., (1999).
Shape
Transformation
Using
Varia-
tional Implicit Functions.
ACM-SIGGRAPH'99
Conference Proceedings, Los-
Angeles, California, August,
pp.
242-250.
[221]
Tutte,
W.,
(1984).
Graph
Theory. Encyclopedia
of
Mathematics
and its Ap-
plications,
V. 21,
Cambridge University Press,
New
York.
[222]
Viseur,
S.,
Shtuka,
A. and
Mallet, J.L., (1998).
New
Fast,
Stochastic, Boolean
Simulation
of
Fluvial Deposits.
SPE
Annual Technical Conference
and
Exhi-
bition,
New
Orleans, article
No.
49281, September 1998.
[223]
Voronoi,
D.,
(1908). Nouvelles applications
des
parametres
continus
a la
theorie
des
formes quadratiques. Recherche
sur
les
paralleloedres
primitifs.
Journal
Reine Angew. Math. 134.
[224]
Wackernagel,
H.,
(1995).
Multivariate
Geostatistics.
Springer Verlag, Berlin,
256
p.
[225]
Walton,
D.J.,
and
Meek D.S., (1996).
A
triangular
G
1
patch from boundary
curves.
Computer-Aided
Design Journal,
V. 28, No. 2, pp.
113-123.
[226]
Watson, D.F., (1981). Computing
the
n-dimensional
Delaunay tesselation with
application
to
Voronoi
polytopes. Comput. Journal,
V. 24, No. 2, pp.
167-172.
[227]
Weaver, R.C., (1964). Relative merits
of
interpolation
and
approximating func-
tions
in the
grade
prediction problem. Computers
in the
mineral industries,
Parks,
G.A.
(ed.),
Part
1:
Stanford Univ.
Publ.
in the
Geological Sciences,
V.
9,
pp.
171-185.
[228]
Weiler,
K.,
(1988).
The
Radial
Edge
Structure:
a
topological
repesentation
for
non-manifold
geometric
boundary
modeling. Geometric Modeling
for CAD
Applications, Elsevier Science
Publish.,
pp.
3-36.
[229]
Weisstein, E.W., (1999).
CRC
Concise Encyclopedia
of
Mathematics.
Chap-
man
and
Hall/CRC,
London, 1969
p.
[230]
White,
N.,
Jackson,
J.,
and
Mackenzie,
D.,
(1986).
The
relationship between
the
geometry
of
normal faults
and
that
of
the
sedimentary layers
in
their hang-
ing
walls. Journal
of
Structural Geology,
V. 8, No. 8, pp.
897-909.
[231]
Whitehead,
J.H.C., (1949). Combinatorial Homotopy
I.
Bull.
Am.
Math. Soc.,
V.
55, pp.
213-245.
[232]
Whittaker,
E.T., (1923).
On a new
method
of
graduation. Proceedings
of the
Edinburgh Mathematical Society,
V. 41, pp.
63-75.
[233]
Whittle,
P.,
(1963). Prediction
and
Regulation. University
of
Minnesota, Min-
neapolis (ISBN 0-8166-1148-3).
594
BIBLIOGRAPHY
[234]
Wietzerbin,
L.,
(1994).
Modelisation
et
parametrisation
d'objets
naturels
de
formes
complexes
en
trois dimension. Ph.D. thesis,
Institut
National Poly-
technique
de
Lorraine, Nancy, France.
[235]
Williams,
G.,
(1987).
The
geometry
of
listric normal faults
and
deformation
in
their hangingwalls. Journal
of
Structural Geology,
V. 9, No. 7, pp.
789-795.
[236]
Woodward, N.B., Boyer, S.E.,
and
Suppe,
J.,
(1989). Balanced
Geological
Cross-sections:
An
Essential Technique
in
Geological
Research
and
Explo-
ration. American Geophysical Union, Short Course
in
Geology,
V. 6,
132p.
[237]
Xu, W.,
Tran,
T.T., Srivastava, E.M.
and
Journel, A.G., (1992). Integrating
seismic data
in
reservoir modeling:
the
colocated
coKriging alternative. Pro-
ceedings
of the
67th Annual Technical Conference
of the
Society
of
Petroleum
Engineers, Washington, article
SPE
24742,
pp.
833-842.
[238]
Yao, T.T., (1998). Conditional
spectral
simulation with phase identification.
Jour. Math. Geology,
V. 30, No. 3, pp.
285-308.
Index
Abstrac t
i-cell,
61
Active
set,
171
Adjacency,
40, 53
Adjacent cells,
40
Anisotropic weightings, 150,
378
Anisotropy,
554
Back-stripping,
421
Balanced
restoration,
420
Balancing ratio,
145
Ball,
29
Barycenter, 105,
309
Bary centric
coordinates, 126, 183,
254
parameterization, 126,
251
BBRF,
520
BBS,
525
Beautifying
algorithm,
305
Beauty
of a
triangle,
305
Bellman principle,
115
Bezier
patch,
323
Blending
function,
158,
529
Blending-Based Random Function,
520
Boundary,
31
Brisson-Lienhardt theorem,
61
CAD,
199,
204
Cdf,
447, 451,
468
Cell
definition,
37
iterator,
76
transformation,
77
virtual,
41
Cell centered,
126
Cellular
decomposition,
51
partition,
36
synthesis,
60
CellView,
49
Centered
RV, 447
Central
limit theorem,
454
Certainty factor,
144
Cerveny law,
240
Channel, 233,
531
Classification,
533
Closed,
60
Closed set,
30
Closure,
31
Clustering, 534,
567
CoKriging,
509
Colocated coKriging,
509
Compaction,
429
Computer-aided design,
199
Conjugate gradient,
176
Consistency,
63, 153
Constraint,
8, 140
Continuity,
12, 33, 34,
224, 272, 278,
280,
420
Continuity equation,
420
Control
delta,
257
gradient,
187
net,
322
node,
140, 147,
158
node
(fuzzy),
164, 168,
190
point, 182, 184, 188,
263
property, 183, 186,
256
segment,
270
straightline,
264
thickness,
269
throw,
274
Convex hull,
322
Coons patch,
129
Corner point,
125
Covariance
function
definition,
460
exponential model,
464
Gaussian model,
464
nested
model,
465
range,
464
spherical model,
464
Covariance matrix,
451
595
596
Cumulative distribution
function,
447,
451,
468
Cumulative membership
function,
538
Curvature
Gaussian,
215
mean,
215
of
a
curve,
201
of
a
surface,
205, 211,
213
tensor, 205,
211
Cut, 133,
313
Darcy's law,
243
Dart
cell-key,
84
definition,
53, 57
free,
60
magnetic interpretation,
66
sewn,
60
virtual,
83
Deconvolution,
25
Deformation
analysis,
392
Deformation
of a
horizon,
405
Delaunay
tessellation,
98, 99
theorem,
100
Developability-index,
221
Developable, 215,
221
Differential
equation,
2, 3,
203,
218
Differential
geometry,
199
Dilatation,
394
Dimension,
34
Dirac,
238,
522
Discrete Fourier transform,
484
Discrete model,
7, 139
Discrete modeling,
5
Discrete smooth interpolation,
14, 139
Discrete
smooth
partition,
533
Discrete topological model,
5
Discriminant,
534
Displacements,
402
Distribution,
521
Dividing-wall,
86
DSI,
14, 139
DSI
constraint,
9
canonic,
140
cross,
9, 148
definition,
8, 140
dynamic,
166
equality,
9, 174
hard,
9
inequality,
9, 174
nonlinear,
169
normalized,
140
simple,
9
soft,
9
DSI
equation
global,
153
local,
160
DSI
iterative algorithm,
165
DSI
weightings
anisotropic, 150,
378
exponential map,
366
harmonic, 149,
364
isotropic,
149
DSP,
533
DSP
constraint
intrinsic probability,
540
association,
551
gradient,
557
local proportions,
548
Dual
of a
graph,
98
Dupin indicatrix,
223
Dynamic constraint,
166
Edge,
86
Elongation,
397
Embedded,
37
Embedding,
44, 46, 63
Embedding consistency,
63
Ergodic correction,
523
Ergodicity, 462,
480
Euler operators,
48
Euler-Poincare,
46
Eulerian strain tensor,
400
Event,
444
Exponential covariance model,
464
Facies,
534
Fast
Fourier transform,
486
Fault,
130, 133, 235, 245, 272,
371
Fault-throw, 272,
273
First
fundamental
form,
206
First
fundamental tensor,
205
Fitting
factor,
145
Fourier transform, 484,
486
Frame
definition,
86
operations,
89
Free,
60
Frenet
frame,
202
Gaussian
INDEX
covariance model,
464
curvature,
215
random variable,
449
Generalized map,
57
Genericity,
148
Geodesic,
216
Geometric continuity,
224
Geomodeling,
4
Ghost
well-marker,
384
Gluing
frames,
90
GMap
definition,
57
implementation,
81
transformations,
74
Gradient,
207
Granularity,
101
Graph, 153, 223, 229, 246, 301,
302
Green-Gauss theorem,
356
Gregory
patch,
331
patchwork,
336
GRFS,
481
Grid
cell
centered,
126
corner point,
125
cracking,
130
cutting,
133
definition,
122
irregular,
132
regular,
122
simple node,
131
split
node,
131
Hard
constraint,
9
Harmonic weightings, 149,
364
Heisenberg uncertainty principle,
512
Heterogeneities, 489, 531,
549
Homeomorphic,
34
Homeomorphism,
34
Horizon,
2,
193,
245
Hyperplane, 141, 171,
172
Image processing,
22
Implicit surface,
134
Incidency,
40
Incident
cell,
40, 43, 45
VertexView,
50
Independence,
453
independence,
453
Indicator, 448,
460
Inequality constraint,
9, 174
Interior,
31
Invariants,
400
Involution,
56
Isometric
constraints,
290
mapping,
408
Isomorphic
cells,
44
cellular
partitions,
43
Isomorphism,
43
Isoparametric
constraints,
297
curve,
204
Isotropic
weightings,
149
Iterator,
76
Jacobian,
208
Kriging
colocated
coKriging,
509
ordinary,
504
simple,
506
Lagrange Multipliers,
396
Lagrange multipliers,
504
Lagrangean
strain
tensor,
400
Laplacian,
351
Lattice,
87
Likelihood
function,
542
Listric
fault,
411
Local topological dimension,
34
Magnet,
66
Manifold,
35
Map,
69
Mapping,
33
Mass
preservation,
429
Mean curvature,
215
Membership
function,
538
Metric, 205, 206, 250, 291, 353,
564
Metric tensor,
205
Minimum
deformation
constraints,
433
principle,
403
Model
definition,
88
operations,
89
Morphing,
380,
381
Moving
centers,
559
Multigrid,
181
INDEX
INDEX
597