1997
DOI: 10.1007/978-3-7091-6858-5_12
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An adaptive representation of spectral data for reflectance computations

Abstract: This paper deals with the representation of spectral data so as to control the colorimetric error committed during rendering computations. These data are projected on a set of hierarchical basis functions called scaling functions leading to a representation by means of binary trees. An adaptive algorithm is proposed in which refinement and merge steps managed by an estimation of the error made in the XY Z color space allows to control the representation of spectra

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Cited by 16 publications
(10 citation statements)
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“…Other basis functions like e.g. the Fourier basis [Pee93] or Gaussian [Mey88] can be used, or a specialized basis out of the set of spectra of a given scene [DF03, BDM09,DMCP94,RP97] can be extracted. The Fourier basis can work well for arbitrary scenes if only smooth spectra occur.…”
Section: State Of the Art And Backgroundmentioning
confidence: 99%
“…Other basis functions like e.g. the Fourier basis [Pee93] or Gaussian [Mey88] can be used, or a specialized basis out of the set of spectra of a given scene [DF03, BDM09,DMCP94,RP97] can be extracted. The Fourier basis can work well for arbitrary scenes if only smooth spectra occur.…”
Section: State Of the Art And Backgroundmentioning
confidence: 99%
“…The spectral radiance distribution I is often stored in discretized form using a set of uniformly distributed bins, each representing a range of wavelengths. More adaptive representations of the spectral distribution use sets of basis functions, e. g. Gaussian [Mey88], the Fourier‐basis [Pee93], or specialized basis functions [DMCP94, RP97, DF03, BDM09]. In the discrete case, there is a straightforward analogy between the classic image gradient and our proposed spectral gradient; the former is the finite difference between two pixels, while the latter is the difference between two bins.…”
Section: Related Workmentioning
confidence: 99%
“…These researches have included linear modeling [Drew and Funt 1992;Finlayson et al 1994;Forsyth 1990;Horn 1984;Maloney 1986], the polynomial method [Geist et al 1996;Raso and Fournier 1991], a perceptually based approach . [Meyer 1988], an adaptive method [Deville et al 1994;Iehl and Péroche 2000;Rougeron and Peroche 1997], the composite method [Sun et al 1998;Sun et al 2000a], and a stratified wavelength clustering strategy [Evans and McCool 1999].…”
Section: Spectral Renderingmentioning
confidence: 99%