Abstract

Shadow and variable illumination considerably influence the results of image understanding such as image segmentation, object tracking, and object recognition. The intrinsic image decomposition is to separate the reflectance and the illumination image from an observed image. The intrinsic image decomposition is very useful to remove shadows and then improve the performance of image understanding. In this paper, we present a new shadow removal method based on intrinsic image decomposition on a single color image using the Fisher Linear Discriminant (FLD). Under the assumptions-Lambertian surfaces, approximately Planckian lighting, and narrowband camera sensors, there exist an invariant image, which is 1-dimensional greyscale and independent of illuminant color and intensity. The Fisher Linear Discriminant is applied to create the invariant image. And further the shadows can be removed through the difference between invariant image and original color image. The experimental results on real data show good performance of this algorithm.

Highlights

  • There are two tracks on the intrinsic image decomposition

  • We present a new shadow removal method based on intrinsic image decomposition on a single color image using the Fisher Linear Discriminant (FLD)

  • We showed that the invariant direction could be achieved successfully through the Fisher Linear Discriminant (FLD)

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Summary

Introduction

There are two tracks on the intrinsic image decomposition. One is to extract the reflectance image and the illumination image from a sequence of observed images [7,8]. For the intrinsic image recovery from a single observed image, Tappen, Freeman and Adelson [10] presented an algorithm that incorporates both color and gray-level information to recover shading and reflectance intrinsic images from a single image. We present an intrinsic image decomposition method for a single color image under the above assumptions of Lambertian reflectance, approximately Planckian lighting, and narrowband camera sensors. We make a conclusion and discuss the future work

Invariant Direction and Invariant Image
Invariant Image by Fisher Linear Discriminant
Special Cases for Fisher Linear Discriminant
K-Means Method for Clustering
Recovery of Shadow Free Images
The Shadow Removal Algorithm
Experimental Results
Conclusion
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