Measurement of a bidirectional reflectance distribution and system achievement based on a hemi-parabolic mirror

Ren, Jianfeng; Zhao, Jianlin

doi:10.1364/ol.35.001458

Cited by 13 publications

(7 citation statements)

References 11 publications

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“…based on the parabolic design configuration (P) were developed for instance by Dana and Wang [19] and by Ren and Zhao [21].…”

Section: Existing Design Configurations Of a Cpgmentioning

confidence: 99%

“…The catadioptric mapping method, which is explained in detail in the next section, relies on a combination of a large reflector and a lens system to perform the angularto-spatial mapping. Many instruments of this category, which are based on four main types of configurations (see Section 3.C), have been devised over the last decade for either universal or specific applications [4,[19][20][21][22][23][24][25][26].…”

Section: Introductionmentioning

confidence: 99%

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Origin and nature of measurement bias in catadioptric parallel goniophotometers

Karamata

Andersen

2014

J. Opt. Soc. Am. A

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We briefly categorize and compare parallel goniophotometers, which are instruments capable of simultaneously measuring the far-field distribution of light scattered by a surface or emitted by a source over a large solid angle. Little is known about the accuracy and reliability of an appealing category, the catadioptric parallel goniophotometers (CPGs), which exploit a curved reflector and a lens system. We analyzed the working principle common to all the different design configurations of a CPG and established the specifications implicitly imposed on the lens system. Based on heuristic considerations, we show that the properties of a real (thick) lens system are not fully compatible with these specifications. This causes a bias to the measurements that increases with the acceptance angle of the lens system. Depending on the angular field, the measured sample area can be drastically reduced and shifted relative to the center of the sample. To gain insights into the nature and importance of the measurement bias, it was calculated with our model implemented in MATLAB for the CPG configuration incorporating a lens system with a very large acceptance angle (fisheye lens). Our results demonstrate that, due to the spatio-angular-filtering properties of the fisheye lens, this category of CPGs is so severely biased as to give unusable measurements. In addition, our findings raise the question of the importance of the bias in the other types of CPGs that rely on a lens system with a lower acceptance angle.

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“…based on the parabolic design configuration (P) were developed for instance by Dana and Wang [19] and by Ren and Zhao [21].…”

Section: Existing Design Configurations Of a Cpgmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Origin and nature of measurement bias in catadioptric parallel goniophotometers

Karamata

Andersen

2014

J. Opt. Soc. Am. A

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“…A short review of existing instruments is presented hereafter in order to motivate the choices made for the OptiMines goniometer. Among the existing devices, Ren and Zhao [16] proposed an interesting approach for measuring surface BRDF data in an entire hemispheric field simultaneously based on a hemi-parabolic mirror, a mobile laser source, a light-beam splitter prism and an area-array CCD detector. The angular distribution of a surface's reflectance in three-dimensional space is transformed into a two-dimensional planar image, which is collected by a CCD camera.…”

Section: Description Of the Gonio-spectro-photometermentioning

confidence: 99%

Design of a gonio-spectro-photometer for optical characterization of gonio-apparent materials

Matsapey

Faucheu

Flury

et al. 2013

Meas. Sci. Technol.

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Gonio-apparent surfaces, characterized by large variations in optical properties with small variations in detection or illuminating directions, have a huge appeal for industrial product for aesthetic reasons. This work is dedicated to the design of a gonio-spectrophotometer (OptiMines goniometer) adequate for analyzing the light reflecting behavior of these challenging surface aspects. Such optical characterizations are useful data for realistic rendering of such surfaces in computer graphics but also for new product development and quality control in industrial manufacturing. To reach the four degrees of freedom necessary to cover the entire reflecting hemisphere, the designed geometrical setup favors movements of the sample so that illuminating and detection arms only carry one degree of freedom each. Having only one degree of freedom on each optical arm enables an easy installation of precise optical systems that leads to a very high directional accuracy for small arm dimensions. High directional accuracy is essential for fine analysis of gonio-apparent surfaces in order to prevent signal averaging with out-of-direction beam, in particular when the property change is abrupt. The analysis of both diffuse and gonio-apparent materials demonstrates the performance in surface metrology provided by this new device.

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“…Previous work has been dedicated to measure BRDF either with nonimaging systems (e.g., [8][9][10][11][12][13][14][15]) or with imaging systems (e.g., [16][17][18][19][20][21][22][23][24]), which are becoming increasingly popular due to the low cost of digital cameras. However, few (e.g., [12][13][14][15]) of them are capable of measuring retroreflective materials due to mechanical constraints.…”

Section: Introductionmentioning

confidence: 99%

Bidirectional reflectance distribution function measurements and analysis of retroreflective materials

et al. 2014

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We compare the performance of various analytical retroreflecting bidirectional reflectance distribution function (BRDF) models to assess how they reproduce accurately measured data of retroreflecting materials. We introduce a new parametrization, the back vector parametrization, to analyze retroreflecting data, and we show that this parametrization better preserves the isotropy of data. Furthermore, we update existing BRDF models to improve the representation of retroreflective data.

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Measurement of a bidirectional reflectance distribution and system achievement based on a hemi-parabolic mirror

Cited by 13 publications

References 11 publications

Origin and nature of measurement bias in catadioptric parallel goniophotometers

Origin and nature of measurement bias in catadioptric parallel goniophotometers

Design of a gonio-spectro-photometer for optical characterization of gonio-apparent materials

Bidirectional reflectance distribution function measurements and analysis of retroreflective materials

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