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236,137
Global Raybundle Tracing with Infinite Number of Rays
 Computers and Graphics
, 1999
"... The paper presents a combined finite element and quasirandom walk method to solve the general rendering equation. Applying finite element techniques, the surfaces are decomposed into planar patches that are assumed to have position independent, but not direction independent (that is nondiffuse) ra ..."
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Cited by 1 (1 self)
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The paper presents a combined finite element and quasirandom walk method to solve the general rendering equation. Applying finite element techniques, the surfaces are decomposed into planar patches that are assumed to have position independent, but not direction independent (that is nondiffuse) radiance. The direction dependent radiance function is then computed by quasirandom walk. Since quasiMonte Carlo quadrature is applied here to an integrand of finite variation, this method can take advantage of the superior convergence of quasiMonte Carlo integration.
Global Raybundle Tracing
, 1998
"... The paper presents a singlepass, viewdependent method to solve the general rendering equation, using a combined finite element and random walk approach. Applying finite element techniques, the surfaces are decomposed into planar patches on which the radiance is assumed to be combined from finite ..."
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Cited by 9 (7 self)
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finite number of unknown directional radiance functions by predefined positional basis functions. The directional radiance functions are then computed by random walk or by stochastic iteration using bundles of parallel rays. To compute the radiance transfer in a single direction, several global
Global Raybundle Tracing with Hardware Acceleration
 IN RENDERING TECHNIQUES '98
, 1998
"... The paper presents a singlepass, viewdependent method to solve the general rendering equation, using a combined finite element and random walk approach. Applying finite element techniques, the surfaces are decomposed into planar patches that are assumed to have position independent, but not dir ..."
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Cited by 31 (7 self)
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, but not direction independent radiance. The direction dependent radiance function is then computed by random walk using bundles of parallel rays. In a single step of the walk, the radiance transfer is evaluated exploiting the hardware zbuffer of workstations, making the calculation fast. The proposed method
Photorealistic Image Synthesis Using RayBundles
, 2000
"... lightsources, such as point or directional lightsources are preferred here, since their radiance is a Diracdelta like function, which simplifies the integral of equation (2.50) to a sum. These methods take into account only a single reflection of the light coming from the abstract lightsources. Ide ..."
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Cited by 6 (4 self)
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. Ideal mirrors and refracting objects cannot be rendered with these methods. 2. Recursive raytracing Another alternative is to eliminate from the rendering equation those energy contributions which cause the difficulties, and thus give ourselves a simpler problem to solve. For example, if limited level
Fast global illumination baking via raybundles
 In SIGGRAPH Asia 2011 Technical Sketches
, 2011
"... Figure 1: Left: realtime rendering using light maps (122640 triangles scene). Right: the light maps generated by our renderer (1024×1024 ..."
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Cited by 3 (2 self)
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Figure 1: Left: realtime rendering using light maps (122640 triangles scene). Right: the light maps generated by our renderer (1024×1024
Imperfect RayBundle Tracing for Interactive MultiBounce Global Illumination
"... A bidirectional sampling method with raybundles [TO12] enables highonebounce threebounce ..."
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Cited by 2 (1 self)
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A bidirectional sampling method with raybundles [TO12] enables highonebounce threebounce
Convex Analysis
, 1970
"... In this book we aim to present, in a unified framework, a broad spectrum of mathematical theory that has grown in connection with the study of problems of optimization, equilibrium, control, and stability of linear and nonlinear systems. The title Variational Analysis reflects this breadth. For a lo ..."
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Cited by 5350 (67 self)
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long time, ‘variational ’ problems have been identified mostly with the ‘calculus of variations’. In that venerable subject, built around the minimization of integral functionals, constraints were relatively simple and much of the focus was on infinitedimensional function spaces. A major theme
FAST VOLUME RENDERING USING A SHEARWARP FACTORIZATION OF THE VIEWING TRANSFORMATION
, 1995
"... Volume rendering is a technique for visualizing 3D arrays of sampled data. It has applications in areas such as medical imaging and scientific visualization, but its use has been limited by its high computational expense. Early implementations of volume rendering used bruteforce techniques that req ..."
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Cited by 541 (2 self)
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family of volume rendering algorithms that reduces rendering times to one second. First we present a scanlineorder volume rendering algorithm that exploits coherence in both the volume data and the image. We show that scanlineorder algorithms are fundamentally more efficient than commonlyused ray
KodairaSpencer theory of gravity and exact results for quantum string amplitudes
 Commun. Math. Phys
, 1994
"... We develop techniques to compute higher loop string amplitudes for twisted N = 2 theories with ĉ = 3 (i.e. the critical case). An important ingredient is the discovery of an anomaly at every genus in decoupling of BRST trivial states, captured to all orders by a master anomaly equation. In a particu ..."
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Cited by 545 (60 self)
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particular realization of the N = 2 theories, the resulting string field theory is equivalent to a topological theory in six dimensions, the Kodaira– Spencer theory, which may be viewed as the closed string analog of the Chern–Simon theory. Using the mirror map this leads to computation of the ‘number
Results 1  10
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236,137