影像對比強化演算法通常設計用來調整對比度以符合人類的視覺感知。而直方圖均衡化在影像對比強化是一個非常廣泛好用並且受歡迎的技術。然而，此方法有時會造成過度強化、失真、或在處理圖像中某些部分細節損失，而使處理後的影像不自然。因此，這篇論文提出了一個新的補償直方圖等化方法。最初直方圖等化是運用計算機率密度函數得到累積分布函數再做亮度映射。而此論文提出的技術是將由本篇論文定義的範圍分布函數作為約束條件，來修改機率密度函數再實行直方圖等化。因此，此影像增強方法在細節上未有任何致命的損失。經由像素亮度值重新映射後，這個方法達到一個方便且有效的方式來控制對比加強的程度。
這個方法可以運用在高動態範圍影像與低動態範圍影像上。為了令本演算法能適用於更多種不同的影像儲存方式，因此結合一個簡單的前處理方法來對高動態範圍影像作處理，使其能應用的更加廣泛。
實驗結果表明，該提出的方法在評測影像品質的IFC值方面比現有的一些基於直方圖等化改進方法可達到更好的結果。另外為了得到一個更理想的結果，採用一個融合演算法使用不同參數去結合處理後的影像。我們相信它是一個值得進一步探討的方法。

Image contrast enhancement algorithms have been designed to adjust contrast conforming to human visual perception. Histogram equalization (HE) is a very widely used and a popular technique for image contrast enhancement. However, it may produce over-enhancement, washed out, and detail loss in some parts of the processed image and thus makes the processed image unnatural. This thesis proposes a novel compensatory histogram equalization method. Originally when applying HE, it needs to map intensities by calculating the cumulative distribution function (CDF) which is derived from the probability density function (PDF). The proposed technique modifies the PDF of an image by using the range distribution function (RDF) which is defined in this thesis as the constraint prior to the process of HE, so that it performs the enhancement on the image without making fatal loss of details. By remapping intensity levels, this approach provides a convenient and effective way to control the enhancement process.
The proposed method can be applied on high dynamic range (HDR) images and low dynamic range (LDR) images. To adapt more different kinds of image store technologies, it combines a simple preprocessing method on HDR images. Therefore, this method can be widely used on more kinds of image formats.
Finally, experimental results show that the proposed method can achieve better results in terms of Information Fidelity Criterion (IFC) values, the image quality evaluation, than some previous modified histogram-based equalization methods. Further, a fusion algorithm is adopted to combine processed images with different parameters for an optimal result. We believe that it is a strategy worthy for further exploration.

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