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                    | Paeth A.W. (ed.) — Graphics gems (volume 5) |  
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                    | Предметный указатель |  
                    | | "Inside-outside" function, superquadrics      147 III.148 
  matrix, zero structures for      II.358-II.359 
  matrices      II.351-II.354 
  -buffer      I.76 
  joint, between cubic B  zier curves      II.532 
  operator      IV.94-IV.95 IV.98 
  joint, between cubic B  zier curves      II.532 
  III.96 
  III.96 
  III.99 II.201 
  III.67-III.68 
  III.75 III.76 
  III.68 III.70 
  III.70 III.71 
  derivation      III.71 III.73 
  triggering      III.73 III.74 
  III.7 4 III.7 5 
  -dimensional distance      IV.120 
  -dimensional extent, overlap testing      III.240 III.243 III.527 
  -dimensional geometry      IV.149 
  -dimensional space, face connected line segment generation      III.560 
  -gon      II.8 
  II.195 III.96 
  conversion      II.214-II.218 
  II.214-II.215 
  procedure      II.205-II.206 
  II.211 II.213 
  encoding      III.51 
  II.194-III.95 
  routine      II.50 II.51 
  III.97-III.98 
  II.206-II.208 II.210 
  ,  values      II.26l II.262 
  structure      III.92-III.94 
  -transition table      I.93 I.95 
  extrema, polygon fast scan conversion      I.95-I.96 
  -buffered triangle, scanline depth gradient      I.361-I.363 1-to-1 pixel transforms      II.96-I.209
 1-to-1 pixel transforms, color-map manipulation      I.270-I.274
 1-to-1 pixel transforms, contrast enhancement transform      II.97-II.98 I.202 I.270-I.271 I.274
 1-to-1 pixel transforms, gamma correction function      II.99 I.203-I.206 I.273
 1-to-1 pixel transforms, null transform      II.96-II.97
 1-to-1 pixel transforms, photo-inversion transform      II.96 II.98 I.270-I.271
 1-to-1 pixel transforms, quantization transform      II.96-II.97 II.99 I.272
 1-to-1 pixel transforms, sawtooth transform function      I.203 I.207-I.209
 2 1/2 - D Depth-of-field simulation, computer animation      III.36-III.38
 Absorption coefficient      II.279-II.280
 Absorption index      II.280
 Active edge list      I.92-I.93
 Adaptive clustering (halftoning)      V.302
 Adaptive image refinement      V.355
 Adaptive meshing, radiosity, shadow boundary detection      II.311-II.315
 Adaptive prediction-correction coders      II.94-II.95
 Adaptive subdivision, of surface      IV.287
 Addresses, precalculating      I.285-I.286
 Adjacent facets, normals      II.239
 Adjoint matrices      IV.38
 Affine matrix group      II.345
 Affine matrix, inverse      II.348-II.349
 Affine modeling transformations, normal vectors      IV.39-IV.42
 Affine transformation      see also Transformation
 Affine transformation, decomposing      III.116
 Affine transformation, unit circle inscribed in square      III.170
 Aggregate objects      II.264
 Albers equal-area conic map projection      I.321-I.325
 Algebra      see Matrix; Vector
 Algorithm, Bresenham      see Bresenham's algorithm
 Algorithm, Bresenham, exact clipping      317
 Algorithm, Bresenham, inverse      338
 Algorithm, Cohen - Sutherland      V.315
 Algorithm, de Boor      V.217
 Algorithm, de Casteljau      V.199 V.217
 Algorithm, Descartes - Euler - Cardano      V.8
 Algorithm, Ferrari      V.7
 Algorithm, Neumark      V.9
 Algorithm, Seidel      V.394
 Algorithm, Sutherland - Hodgman      V.51
 Aliasing, narrow domains      III.23-III.24
 Alpha blending      I.210-I.211
 Alpha buffer      I.218
 Alpha compositing operators      I.211
 Alternating Bresenham edge-calculator      III.350 III.351
 Altitudes, triangles, intersection      I.22
 Ambiguous face      V.99
 Angle subdivision      see Ellipsoid generation
 Angle-preserving matrix group      II.345
 Angles, encoding, bit patterns      IV.42
 Angles, not uniform      III.128 III.129
 Angles, subdivision      see Ellipsoid generation
 Angles, sum and difference relations      II.6
 Animation morphing      IV.445
 Animation recording      I.265 I.269
 Animation recording, double-framed order      I.265-I.266
 Animation two 1/two - D depth-of-field simulation      III.36 III.38
 Animation, camera control      IV.230
 Animation, collision detection      IV.83
 Anti-aliased circle generation      II.545-II.549
 Anti-aliased lines, rendering      II.05-II.06
 Anti-aliasing      I.37 IV.370 IV.445
 Anti-aliasing filters      II.53
 Anti-aliasing filters, common resampling tasks      II.57-II.65
 Anti-aliasing filters, common resampling tasks, box filter      II.59
 Anti-aliasing filters, common resampling tasks, choices of filters      II.58
 Anti-aliasing filters, common resampling tasks, comparative frequency responses      II.61
 Anti-aliasing filters, common resampling tasks, comparison of filters      II.51-II.52
 Anti-aliasing filters, common resampling tasks, continuous, sampled, and discrete signals      II.57
 Anti-aliasing filters, common resampling tasks, decimation      II.57-II.58
 Anti-aliasing filters, common resampling tasks, decimation, with Lanczos2 sine function      II.60-II.61
 Anti-aliasing filters, common resampling tasks, Gaussian 1/two filter frequency response      II.63
 Anti-aliasing filters, common resampling tasks, Gaussian filter      II.50-II.53
 Anti-aliasing filters, common resampling tasks, half-phase filter frequency response      II.62-II.63
 Anti-aliasing filters, common resampling tasks, interpolation      II.57-II.58
 Anti-aliasing filters, common resampling tasks, interpolation, by factor of two with Lanczos2 sine function      II.58-II.59
 Anti-aliasing filters, common resampling tasks, interpolation, with Gaussian 1/
  filter      II.54-II.56 Anti-aliasing filters, common resampling tasks, interpolation, with Gaussian 1/two filter      II.52-II.54 II.56
 Anti-aliasing filters, common resampling tasks, Lanczos-windowed sine functions      II.56-II.58
 Anti-aliasing filters, common resampling tasks, Lanczos2 sine functions frequency response      II.64-II.65
 Anti-aliasing filters, common resampling tasks, sine function      II.56-II.57
 Anti-aliasing filters, common resampling tasks, tent filter      II.59-II.50
 Anti-aliasing filters, common resampling tasks, zero-phase filter frequency response      II.62
 Anti-aliasing filters, cone plus cosine      II.55-II.56
 Anti-aliasing filters, Gaussian filter      II.54-II.55
 Anti-aliasing filters, minimizing bumpy sampling      II.54-II.56
 Anti-aliasing, advanced, algorithm      II.94-II.95
 Anti-aliasing, combining spatial and temporal      III.376 III.378
 Anti-aliasing, edge and bit-mask calculations      III.345 III.354 III.586
 Anti-aliasing, pixel      I.73
 Anti-aliasing, polygon scan conversion      I.76-I.83
 Anti-aliasing, triangular pixels      III.369 III.373
 Apollonius problem, solution      203- 209
 Apollonius problem, solution, 10th problem      II.19-II.24
 Apple patent      II.31-II.32
 Approximation      IV.241
 Arcball      IV.175
 Archimedean solids, semi-regular      III.77
 Archival media      III.65
 Arcs, chord subdivision, nonuniform      V.171
 Arcs, chordal deviation      V.169
 Arcs, circular      V.168
 Arcs, de Casteljau subdivision, variant      V.174
 Arcs, radius of curvature      V.168
 Arcs, vertex deviation      V.170 V.174
 Arctangent, approximation      II.389-II.391
 Area of intersection, circle and half-plane      I.38-I.39
 Area of intersection, circle and thick line      IV.0-IV.2
 Area of intersection, two circles      IV.3-IV.6
 Area, computing, binary digital image      III.07-II.111
 Area, planar polygon      IV.3 IV.141
 Area, polygon      II.5-II.6 V.35
 Area, quadrilateral      V.37
 
 | Area, spherical polygon      IV.132 Area, spherical triangle      V.44
 Area, triangle      I.20 IV.140 IV.161
 Area, vectors      V.35
 Area-to-differential-area form factor      II.313
 ARIES technique (halftoning)      V.303
 Arithmetic complex      IV.139
 Arithmetic exponentiation      IV.385 IV.403
 Arithmetic floating point      IV.125 IV.422
 Arithmetic integer      IV.123 IV.449 IV.526
 Asymmetric filter      II.52-II.53
 Autumn terminator      II.540-II.541
 Axes, transforming      IV.56-IV.59
 Axial deformation      V.139
 Axis-aligned bounding boxes, transformation      IV.48-IV.50
 Axis-amount representation, conversion with matrix      IV.66-IV.67
 Azimuthal equal-area projection      I.317
 Azimuthal equidistant projection      I.316-I.317
 Azimuthal projections      I.314-I.317
 B
  zier control points, derivation      II.377 B
  zier curve-based root-finder      IV.08-IV.15 B
  zier curve-based root-finder, bounding box      IV.13-IV.14 B
  zier curve-based root-finder, conversion to Bernstein-B  zier form      409-IV.11 B
  zier curve-based root-finder, finding roots      IV.11-IV.15 B
  zier curve-based root-finder, root-finding algorithm      IV.12-IV.13 B
  zier curves and surfaces      I.613-I.616 412-II.516 IV.256 IV.261 B
  zier curves and surfaces, arc length of      V.199 B
  zier curves and surfaces, blossoms of      V.191 V.215 B
  zier curves and surfaces, control polygon      V.204 B
  zier curves and surfaces, de Boor points      V.194 B
  zier curves and surfaces, de Casteljau Evaluation Algorithm      IV.87-IV.89 B
  zier curves and surfaces, derivative formulas      II.529 B
  zier curves and surfaces, differentiation      IV.89-IV.90 B
  zier curves and surfaces, fitting to digitized curve      I.616-I.624 B
  zier curves and surfaces, Gaussian quadrature      V.199 B
  zier curves and surfaces, identities of Bernstein basis functions      V.149 B
  zier curves and surfaces, in terms of Bernstein polynomials      613 I.614 B
  zier curves and surfaces, interpolating form, linear      V.213 B
  zier curves and surfaces, interpolation using      III.133 III.136 B
  zier curves and surfaces, interpolation using, code      III.568 B
  zier curves and surfaces, interpolation using, implementation      III.136 B
  zier curves and surfaces, interpolation using, numeric solution      III.134 B
  zier curves and surfaces, interpolation using, symbolic solution      III.134 III.135 B
  zier curves and surfaces, knot insertion      V.194 B
  zier curves and surfaces, least-squares approximations      II.506 B
  zier curves and surfaces, monomial evaluation algorithm      IV.90-IV.91 B
  zier curves and surfaces, multivariate approximation      II.509-II.511 B
  zier curves and surfaces, notation      IV.87 B
  zier curves and surfaces, parametric surface      IV.278 IV.290 B
  zier curves and surfaces, parametric versus geometric continuity      430-II.531 B
  zier curves and surfaces, properties      IV.87-IV.93 B
  zier curves and surfaces, rendering of      V.206 B
  zier curves and surfaces, smooth connection      V.191 B
  zier curves and surfaces, subdivision, parametric      see de Casteljau algorithm B
  zier curves and surfaces, univariate approximation      II.506 II.508 B
  zier curves and surfaces, vertex deviation      V.174 B
  zier curves, arc length of      199 B
  zier curves, blossoms of      191 215 B
  zier curves, control polygon      204 B
  zier curves, de Boor points      194 B
  zier curves, Gaussian quadrature      199 B
  zier curves, identities of Bernstein basis functions      149 B
  zier curves, interpolating form, linear      213 B
  zier curves, knot insertion      194 B
  zier curves, rendering of      206 B
  zier curves, smooth connection      191 B
  zier curves, subdivision, parametric      see de Casteljau algorithm B
  zier curves, vertex deviation      174 B
  zier form, conversion      I.609 I.611 B
  zier form, conversion, from monomial form      IV.91 IV.92 B
  zier form, conversion, to monomial form      IV.92 IV.93 B
  zier simplices      II.512 B
  zier triangles, conversion to rectangular patches      256- 261 III.536 B-spline curves      IV.252
 B-spline curves, de Boor algorithm      V.217
 B-spline curves, divided difference interpolation      V.213 V.217
 B-spline curves, identities of basis functions      V.163
 B-spline curves, non-uniform rational      IV.256 IV.286 V.216
 B-spline curves, smooth connecting      V.191
 B-splines      II.377-II.378
 B-splines, cubic, knot insertion      II.525 II.527
 B-splines, parametric surface      IV.286
 Back to front polygon rendering      V.126
 Back-face culling      127
 Backface culling      I.346-I.347 IV.44-IV.45 V.127
 Banding      I.263
 Bartlett filter      III.13 III.15
 Barycentric coordinates      IV.162
 Bernstein basis      II.506 II.509
 Bernstein basis functions      V.149
 Bernstein basis functions, integration      I.604-I.606
 Bernstein polynomials      I.613-I.614 II.507 II.510 II.528
 Bernstein-B
  zier, equation conversion to      IV.11 Beta function, integral form      III.150 III.151
 Betacam      III.54
 Beveling      II.07-III.3
 Bias function      IV.401
 Bidirectional reflectance distribution function      V.285
 Bilinear interpolation      see Interpolation
 Binary digital image      III.07
 Binary digital image, computing area, circumference, and genus      II.107-II.111
 Binary digital image, computing area, circumference, and genus, algorithm      II.109-III.11
 Binary digital image, computing area, circumference, and genus, method      III.07-III.09
 Binary order, animation recording      I.266-I.269
 Binary recursive subdivision, ray-triangle intersection      II.257-II.263
 Binary space partitioning tree      III.226 V.121-V.138
 Binary space partitioning tree, ray tracing with      III.271 III.274 III.538
 Binary space-partitioning trees      121
 Bisection, Strum sequences      IV.20 IV.21
 Bit arithmetic      see also Element exchanging
 Bit arithmetic, bit rotation (tables)      II.84
 Bit arithmetic, counting under a mask      II.372
 Bit arithmetic, finding first on bit      II.366 II.374
 Bit arithmetic, palindrome generation      II.369
 Bit arithmetic, power of two, test      II.366
 Bit arithmetic, reading a write-mask      I.219
 Bit arithmetic, tallying on/off bits      II.374-II.376
 Bit-mask calculations      III.352 III.354 III.586
 BitBLT      IV.486
 BitBlt, generalized, algorithm      II.93 II.94
 Bitmap      IV.466 IV.486
 Bitmap rotator 90-degree      II.84 II.85
 Bitmap, black-and-white, compositing      III.34 III.35
 Bitmap, scaling operations, optimization      III.17 III.19 425
 Bitmap, stretching      III.5III.7 III.511
 Bits, conversion with digits      IV.35
 Bits, interleaving, quad- and octrees      IV.43 IV.47
 Bits, patterns, encoding angles      IV.42
 Black-and-white bitmaps, compositing      III.34-III.35
 Blobby model      IV.324
 Blue scanlines, adjusting minimum and maximum      122-III.23
 Blue-green plane, domain      III.20-III.22
 Blur      see Image filter
 Body centered cubic lattice (bcc)      68 (see also Truncated octahedron)
 Body color model      II.277 II.282
 Body color model, theoretical basis      II.277 II.278
 Bottom - Up      II.206 II.208-II.209
 Boundary generator, composited regions      39 III.53 III.541
 Bounding box      IV.26 IV.74
 Bounding box, axis-aligned, transformation      IV.48-IV.50
 Bounding box, fifth-degree polynomial      IV.13-IV.14
 Bounding box, radiosity      II.304 II.305
 Bounding method, torus      II.254-II.255
 Bounding sphere      I.301-I.303
 Bounding volume algorithm, linear-time      III.301 III.306
 Bounding volume algorithm, worst case      III.302
 Bounding volumes, ccube      III.295-III.296
 Bounding volumes, clinear-time simple      III.301 III.306
 Bounding volumes, cone      III.297
 Bounding volumes, cpolygon      III.296
 
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