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Oren-Nayar Reflectance Model

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Computer Vision

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Related Concepts

Radiance; Reflectance Models

Definition

The Oren-Nayar reflectance model calculates the amount of reflected radiance at a surface point according to the lighting, viewing, and surface normal directions at that point. It is characterized by its high accuracy in modeling diffuse reflection for rough surfaces. It was introduced by Michael Oren and Shree K. Nayar [1] in 1994.

Background

When light arrives at surfaces, it can be reflected, refracted, scattered, or absorbed. Reflectance models are mathematical functions that describe the interactions between light and surfaces. Usually, they are functions of lighting, viewing, and surface normal directions. There are various reflectance models at different levels of precision and complexity. Most reflectance models include components describing diffuse and specular reflection, respectively.

The Oren-Nayar model is a reflectance model that accurately represents the diffuse reflection of rough surfaces. In the field of...

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References

  1. . Oren M, Nayar SK (1994) Generalization of lambert's reflectance model. In: SIGGRAPH '94: proceedings of the 21st annual conference on computer graphics and interactive techniques. ACM, New York, pp 239–246

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  2. . Lambert JH (1760) Photometria sive de mensure de gratibus lumi-nis, colorum umbrae. Eberhard Klett

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  3. Opik E (1924) Photometric measures of the moon and the moon the earth-shine. Publications de L'Observatorie Astronomical de L'Universite de Tartu 26(1):1–68

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  4. Minnaert M (1941) The reciprocity principle in lunar photometry. Astrophys J 93:403–C410

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  5. . Cook RL, Torrance KE (1981) A reflectance model for computer graphics. In: SIGGRAPH '81: proceedings of the 8th annual conference on computer graphics and interactive techniques. ACM, New York, pp 307–316

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  6. Oren M, Nayar SK (1995) Generalization of the lambertian model and implications for machine vision. Int J Comput Vis 14(3):227–251

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Author information

Authors and Affiliations

  1. Department of Electrical and Computer Engineering, National University of Singapore, Singapore, Singapore

    Ping Tan

Authors
  1. Ping Tan
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Editor information

Editors and Affiliations

  1. Institute of Industrial Science, The University of Tokyo, Tokyo, Japan

    Katsushi Ikeuchi

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Tan, P. (2014). Oren-Nayar Reflectance Model. In: Ikeuchi, K. (eds) Computer Vision. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-31439-6_535

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