| Ramamoorthi, R. and Hanrahan, P. 2001. A signal-processing framework for inverse rendering. In SIGGRAPH 01, pages 117--128. |
....However, we assume that this windowing artifact is negligible. 5 and Ba defines the bandwidth. Our band limitness assumption can be connected to the band limitness of the surface BRDF with the signal processing framework for inverse rendering recently presented by Ramamoorthi and Hanrahan [14]. For points on a reflective surface, the outgoing light can be described as the convolution of the incoming light and the surface BRDF. If the incoming light is far (thus the incoming light can be considered as a delta function with respect to the angle) whenever the BRDF is band limited, the ....
R. Ramamoorthi, P. Hanrahan, "A Signal-Processing Framework for Inverse Rendering", SIGGRAPH '01, pp. 117-128, Aug. 2001.
.... be available, the following discussion is based on a mathematical framework developed in [1] This framework has also been applied to examine inverse rendering problems, i.e. the reconstruction of unknown lighting and or reflection properties from calibrated images when 3D object geometry is known [2]. Related to this work, the influence of surface displacement on coding efficiency, yet without taking surface normal deviation into account, is examined in [3] Similarly, the number of images necessary to represent all possible appearances of an object is investigated in [4] 2. PRELIMINARIES ....
....of the object material are assumed to be isotropic, so reflectance does not depend on absolute azimuthal surface orientation. For many natural materials, this Fig. 1. Reflection geometry and definition of angles. is a valid simplification [5] The used notation is summarized in Fig. 2 and follows [2]. In Fig. 1, the radiance reflected into some outgoing direction depends on the incident illumination and the reflection properties of the material 49 64 # (1) By definition, the integral may cover the entire sphere ) while the ....
[Article contains additional citation context not shown here]
R. Ramamoorthi and P. Hanrahan, "A signal-processing framework for inverse rendering," Proc. ACM Conference on Computer Graphics (SIGGRAPH-2001.
....factorization, permits the factorization of functions of arbitrary dimension into products of several functions of smaller dimensions and the use of arbitrary parameterizations. Other methods of BRDF representation rely on the summation of basis functions, for example, spherical harmonics [21]. Malzbender, Gelb and Wolters [16] used a polynomial basis to reconstruct surface color under varying light direction. This method captures spatial variation of color on surfaces [11, 14] and is equivalent to the use of spherical harmonics. McAllister, Lastra and Heidrich [19] fitted Lafortune ....
Ravi Ramamoorthi and Pat Hanrahan. A Signal-Processing Framework for Inverse Rendering. In Proceedings of SIGGRAPH, 2001.
....which is defined as: # # = otherwise. 0 , if , 1 I (4) and i B defines the bandwidth. Our band limitness assumption can be connected to the band limitness of the surface BRDF with the signal processing framework for inverse rendering recently presented by Ramamoorthi and Hanrahan [10]. For points on a reflective surface, the outgoing light can be described as the convolution of the incoming light and the surface BRDF. If the incoming light is far (thus the incoming light can be considered as a delta function with respect to the angle) whenever the BRDF is band limited, the ....
R. Ramamoorthi, P. Hanrahan, "A Signal-Processing Framework for Inverse Rendering", SIGGRAPH '01, pp.117-128, Aug. 2001.
....particular location, season, and time of day. None of these methods recover reflectance from photographs acquired in the real world under unknown lighting conditions. Several authors have recently estimated both illumination and reflectance from a set of photographs under real world illumination [9,73,86,123,124]. They all assume known geometry and a Phong or Ward like specular plus di#use reflectance model. They all apply an iterative estimation technique to deduce both illumination and reflectance, matching resynthesized images to the observed images. These techniques assume that enough information is ....
....for illumination. Yu and Malik [124] measure the illumination incident on the scene from each direction photographically, constructing an illumination map such as those described in Chapter 4. Yu et al. 123] explicitly specify the location of primary light sources. Ramamoorthi and Hanrahan [86] assume the presence of a point source in a known direction. Nishino et al. 72,73] introduce a regularization term on illumination motivated by computational e#ciency, and also assume that all illumination has the same color and that color images of the surface are available. Boivin and ....
[Article contains additional citation context not shown here]
R. Ramamoorthi and P. Hanrahan. A signal-processing framework for inverse rendering. Computer Graphics (SIGGRAPH), 2001.
....matting process and avoiding heat on the actor. We found 156 lights to be sufficient to produce the appearance of a continuous field of illumination as reflected in both diffuse and specular skin (Fig. 3) a result consistent with the signal processing analysis of diffuse reflection presented in [20]. For tight closeups, however, the lights are sparse enough that double shadows can be seen when two neighboring lights are used to approximate a single light halfway between them (Fig. 3(d) The reflection of the lights in extreme closeups of the eyes also reveals the discrete light sources ....
RAMAMOORTHI, R., AND HANRAHAN, P. A signal-processing framework for inverse rendering. In Proc. SIGGRAPH 2001.
....variables, while the BRDF is a function of four. Moreover, illumination from every direction is unknown and can vary across the surface. The BRDF must conserve energy and satisfy a symmetry property known as reciprocity [12] but the space of possible BRDFs remains huge. Ramamoorthi and Hanrahan [20] have shown that even when one is given images of a homogeneous surface from all possible view directions, different combinations of illumination and reflectance can explain the observations. We address a problem that is more tractable than general BRDF estimation, but that remains ....
R. Ramamoorthi and P. Hanrahan. A signal-processing framework for inverse rendering. Computer Graphics (SIGGRAPH) , 2001.
....variables, while the BRDF is a function of four. Moreover, illumination from every direction is unknown and can vary across the surface. The BRDF must conserve energy and satisfy a symmetry property known as reciprocity [13] but the space of possible BRDFs remains huge. Ramamoorthi and Hanrahan [20] have shown that even when one is given images of a homogeneous surface from all possible view directions, different combinations of illumination and reflectance can explain the observations. We address a problem that is more tractable than general BRDF estimation, but that remains ....
R. Ramamoorthi and P. Hanrahan. A signal-processing framework for inverse rendering. Computer Graphics (SIGGRAPH) , 2001.
....a mirrored surface simply reflects its surrounding environment, a properly illuminated chrome sphere could take on an arbitrary appearance. Di#erent combinations of reflectance and illumination could explain the observed data even when images of the surface are available from all directions [22]. We wish to exploit information about the real world to determine the most likely surface reflectance given an observed image. By analogy, consider the situation where one wishes to estimate the variance of a Gaussian filter given only a single image which has been blurred by that filter. In the ....
....estimates both the illumination and reflectance of every surface patch in the scene. Our approach, on the other hand, requires only an image of the surface whose reflectance is in question. We avoid 2 estimating illumination explicitly by characterizing it statistically. Ramamoorthi and Hanrahan [22] perform mathematical analysis to determine when the reflectance estimation problem is well posed. Their work is complementary to ours; they show that reflectance estimation is ill posed in the absence of knowledge about illumination, while we handle the problem in precisely these cases. Unlike ....
[Article contains additional citation context not shown here]
R. Ramamoorthi and P. Hanrahan. A signal-processing framework for inverse rendering. Computer Graphics (SIGGRAPH), 2001.
No context found.
Ramamoorthi, R. and Hanrahan, P. 2001. A signal-processing framework for inverse rendering. In SIGGRAPH 01, pages 117--128.
No context found.
RAMAMOORTHI , R., AND HANRAHAN, P. 2001. A signal-processing framework for inverse rendering. In SIGGRAPH 01, 117--128.
No context found.
RAMAMOORTHI, R., AND HANRAHAN, P. 2001. A signal-processing framework for inverse rendering. In SIGGRAPH 01, 117--128.
No context found.
R. Ramamoorthi and P. Hanrahan. A signal-processing framework for inverse rendering. In SIGGRAPH 01, pages 117--128, 2001.
....and inverse rendering problems. For image based rendering under varying illumination [10] our approach yields optimal basis functions, and easily allows the use of complex illumination. Our work is also a first step in extending the inverse rendering framework of Ramamoorthi and Hanrahan [15] to consider the fundamental limits of what information about the lighting and BRDF can be estimated when the entire reflected light field, corresponding to all surface orientations and outgoing directions, is not available. In future work, we would like to extend our derivation to consider ....
R. Ramamoorthi and P. Hanrahan. A signal-processing framework for inverse rendering. In SIGGRAPH 01, pages 117-- 128, 2001.
No context found.
R. Ramamoorthi and P. Hanrahan. A signal-processing framework for inverse rendering. In Computer Graphics, SIGGRAPH 2001.
No context found.
R. Ramamoorthi, P. Hanrahan, "A signal processing framework for inverse rendering," Proc. SIGGRAPH 2001.
No context found.
R. Ramamoorthi, P. Hanrahan, A signal-processing framework for inverse rendering, ACM SIGGraph,Compuph Graphics (2001) 117--128.
No context found.
R. Ramamoorthi and P. Hanrahan. A signal-processing framework for inverse rendering. SIGGRAPH01, pages 117-- 128.
No context found.
Ramamoorthi, R. and Hanrahan, P. (2001). A signalprocessing framework for inverse rendering. In Proc. ACM SIGGRAPH, pages 117--128.
No context found.
Ravi Ramamoorthi and Pat Hanrahan. A signal-processing framework for inverse rendering. In ACM, editor, SIGGRAPH 2001.
No context found.
Ramamoorthi, R. and Hanrahan, P. (2001). A signalprocessing framework for inverse rendering. In Proc. ACM SIGGRAPH, pages 117--128.
No context found.
RAMAMOORTHI, R, AND HANRAHAN, P, A Signal-Processing Framework for Inverse Rendering, SIGGRAPH `01, 117-128.
No context found.
R. Ramamoorthi and Hanrahan P. A signal-processing framework for inverse rendering. In SIGGRAPH, 2001.
No context found.
Ravi Ramamoorthi and Pat Hanrahan. A signal-processing framework for inverse rendering. In ACM, editor, SIGGRAPH 2001.
No context found.
R. Ramamoorthi and P. Hanrahan. A signal-processing framework for inverse rendering. In Computer Graphics, SIGGRAPH 2001.
No context found.
R. Ramamoorthi and P. Hanrahan. A signal-processing framework for inverse rendering. In Proc. SIGGRAPH 2001.
No context found.
R. Ramamoorthi and P. Hanrahan. A signal-processing framework for inverse rendering. In Computer Graphics, SIGGRAPH 2001.
No context found.
Ravi Ramamoorthi and Pat Hanrahan. A SignalProcessing Framework for Inverse Rendering. In SIGGRAPH, 2001.
No context found.
R Ramamoorthi and P. Hanrahan. A signal processing framework for inverse rendering. In SIGGRAPH, pages 117--128, 2001.
Online articles have much greater impact More about CiteSeer.IST Add search form to your site Submit documents Feedback
CiteSeer.IST - Copyright Penn State and NEC