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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 Bzier curves II.532
operator IV.94-IV.95 IV.98
joint, between cubic Bzier 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
Bzier control points, derivation II.377
Bzier curve-based root-finder IV.08-IV.15
Bzier curve-based root-finder, bounding box IV.13-IV.14
Bzier curve-based root-finder, conversion to Bernstein-Bzier form 409-IV.11
Bzier curve-based root-finder, finding roots IV.11-IV.15
Bzier curve-based root-finder, root-finding algorithm IV.12-IV.13
Bzier curves and surfaces I.613-I.616 412-II.516 IV.256 IV.261
Bzier curves and surfaces, arc length of V.199
Bzier curves and surfaces, blossoms of V.191 V.215
Bzier curves and surfaces, control polygon V.204
Bzier curves and surfaces, de Boor points V.194
Bzier curves and surfaces, de Casteljau Evaluation Algorithm IV.87-IV.89
Bzier curves and surfaces, derivative formulas II.529
Bzier curves and surfaces, differentiation IV.89-IV.90
Bzier curves and surfaces, fitting to digitized curve I.616-I.624
Bzier curves and surfaces, Gaussian quadrature V.199
Bzier curves and surfaces, identities of Bernstein basis functions V.149
Bzier curves and surfaces, in terms of Bernstein polynomials 613 I.614
Bzier curves and surfaces, interpolating form, linear V.213
Bzier curves and surfaces, interpolation using III.133 III.136
Bzier curves and surfaces, interpolation using, code III.568
Bzier curves and surfaces, interpolation using, implementation III.136
Bzier curves and surfaces, interpolation using, numeric solution III.134
Bzier curves and surfaces, interpolation using, symbolic solution III.134 III.135
Bzier curves and surfaces, knot insertion V.194
Bzier curves and surfaces, least-squares approximations II.506
Bzier curves and surfaces, monomial evaluation algorithm IV.90-IV.91
Bzier curves and surfaces, multivariate approximation II.509-II.511
Bzier curves and surfaces, notation IV.87
Bzier curves and surfaces, parametric surface IV.278 IV.290
Bzier curves and surfaces, parametric versus geometric continuity 430-II.531
Bzier curves and surfaces, properties IV.87-IV.93
Bzier curves and surfaces, rendering of V.206
Bzier curves and surfaces, smooth connection V.191
Bzier curves and surfaces, subdivision, parametric see de Casteljau algorithm
Bzier curves and surfaces, univariate approximation II.506 II.508
Bzier curves and surfaces, vertex deviation V.174
Bzier curves, arc length of 199
Bzier curves, blossoms of 191 215
Bzier curves, control polygon 204
Bzier curves, de Boor points 194
Bzier curves, Gaussian quadrature 199
Bzier curves, identities of Bernstein basis functions 149
Bzier curves, interpolating form, linear 213
Bzier curves, knot insertion 194
Bzier curves, rendering of 206
Bzier curves, smooth connection 191
Bzier curves, subdivision, parametric see de Casteljau algorithm
Bzier curves, vertex deviation 174
Bzier form, conversion I.609 I.611
Bzier form, conversion, from monomial form IV.91 IV.92
Bzier form, conversion, to monomial form IV.92 IV.93
Bzier simplices II.512
Bzier 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-Bzier, 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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