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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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