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PERCEPTUAL QUALITY ASSESSMENT OF HDR DEGHOSTING ALGORITHMS Yuming Fang 1, Hanwei Zhu 1, Kede Ma 2, and Zhou Wang 2 1 School of Information Technology, Jiangxi University of Finance and Economics, Nanchang, China 2 Department of Electrical and Computer Engineering, University of Waterloo, Waterloo, ON, Canada ABSTRACT High dynamic range (HDR) imaging techniques aim to extend the dynamic range of images that cannot be well captured using conventional camera sensors. A common practice is to take a stack of pictures with different exposure levels and fuse them to produce a final image with more details. However, a small displacement between images caused by either camera or scene motion would void the benefits and cause the so-called ghosting artifacts. Over the past decade, many HDR deghosting algorithms have been proposed, but little work has been dedicated to evaluate HDR deghosting results either subjectively or objectively. In this work, we present a comprehensive subjective study for HDR deghosting. Specifically, we create a database that contains 20 dynamic image sequences and their corresponding deghosting results by 9 deghosting algorithms. A subjective user study is then carried out to evaluate the perceptual quality of deghosted images. The experimental results demonstrate the performance and limitations of existing HDR deghosting algorithm as well as no-reference image quality assessment models. In the future, we will make the database available to the public. Index Terms High dynamic range imaging, HDR deghosting, subjective quality assessment. 1. INTRODUCTION Natural scenes often span a greater dynamic range of luminance values than those captured by current imaging sensors. In many practical scenarios, it is desirable to obtain high dynamic range (HDR) illumination in the real-world [1]. During the past decade, various HDR imaging techniques have been developed. A common approach shared by them is to capture multiple pictures with different exposure levels of the same scene and then reconstruct an HDR image by inverting the camera response function. Through tone mapping operators [2], the dynamic range of HDR images is reduced to facilitate display on devices with low dynamic range (LDR). On the other hand, multi-exposure image fusion (MEF) is considered as an effective alternative for HDR imaging. Taking This work was supported in part by National Natural Science Foundation of China under Grant 61571212 and in part by the Natural Science Foundation of Jiangxi under Grant 20161ACB21014 and GJJ160420. (a) Source image sequence of Fabrizio Pece [9] (b) Pece10 [9] (c) SPD-MEF [16] Fig. 1. Ghosting artifacts due to camera or object motion. the same sequence as input, MEF algorithms directly synthesize an LDR image that is more informative and perceptually appealing than any of the input images [3]. A major problem of most computational HDR imaging and MEF algorithms is that a small displacement between images by either camera or scene motion would void the benefits from fusion and cause the so-called ghosting artifacts, as shown in Fig. 1. In recent years, much effort has been put to HDR deghosting for dynamic scenes. With many HDR deghosting algorithms proposed, it becomes increasingly important to evaluate the visual quality of deghosting results both qualitatively and quantitatively. Since the human visual system (HVS) is the ultimate receiver of visual information in most applications, subjective evaluation is an effective approach to understand the human behaviors when viewing deghosted images. Although it is expensive and time consuming [4, 5], subjective quality assessment has several benefits. First, it provides useful data to study human behaviors in evaluating the perceived quality of deghosted images. Second, it supplies a benckmark to compare the performance of stateof-the-art HDR deghosting algorithms. Third, it is useful to validate and compare the performance of existing and future objective image quality assessment (IQA) models in predicting the perceptual quality of deghosted images. This will in turn provide insights on developing effective IQA methods

Arch Lady Puppets NoiseCam SculptureGarden Forest Men Office YWFusionopolis Campus Llandudno Readingman Horse ProfJeonEigth Brunswick Cliff Russ1 Square Tate3 Wroclav Fig. 2. Source image sequences. Each sequence is presented by one deghosted image, which has the best quality in the subjective test. for HDR deghosting. There had been some investigations on the performance of deghosting methods [6]-[8]. Unfortunately, only a small set of images and limited HDR deghosting algorithms are involved and become less relevant with many new algorithms being proposed recently. This motivates us to carry out a large-scale subjective test to analyze classic and up-to-date HDR deghosting algorithms in depth. A database containing 20 source sequences with multiple exposure levels ( 3) is constructed in this study. Nine HDR deghosting algorithms are adopted to generate deghosted images, with the most recent one developed in 2016. A large-scale subjective test is carried out to compare the visual quality of deghosted images using paired comparison methodology. We observe a considerable consensus among observers regarding the quality evaluation of deghosting results. The nine HDR deghosting algorithms are analyzed based on their design philosophies. In addition, we show that state-of-the-art image quality assessment (IQA) methods are limited in predicting the perceptual quality of deghosted images. We believe all these findings are meaningful for the future development of HDR deghosting. non-deformable patterns, noisy and non-noisy scenarios, and small and large motions. Keeping these considerations in mind, we collect 20 source sequences, as shown in Fig. 2, which contain at least 3 input images which represent underexposed, over-exposed, and in-between cases. Li12 [11] Pece10 [9] Lee14 [13] Sen12 [10] Photomatix [14] Qin15 [15] 2. THE DATABASE We collect a set of image sequences covering a variety of image content and motion. Since camera motion is usually small and relatively uniform in practice, we only consider various objection motion and counteract the camera motion by either setting a tripod or some image registration algorithms. In other words, all source sequences are aligned. Moreover, the database constitutes sequences with different environments, including indoor and outdoor scenes, deformable and Hu13 [12] Li14 [17] SPD-MEF [16] Fig. 3. Deghosting results of nine algorithms adopted in the subjective user study. Next, we choose nine state-of-the-art deghosting algorithms to generate deghosted images, including: Pece10 [9], Sen12 [10], Li12 [11], Hu13 [12], Lee14 [13], Li14 [17], Photomatix [14], Qin15 [15], and SPD-MEF[16] (Fig. 3). These methods are chosen to represent a variety of design

philosophies, including pixel-based and path-based, HDR reconstruction followed by tone mapping and MEF, structural similarity based and low rank based algorithms. Note that Photomatix [14] is a commercial HDR software. The deghosting results are either generated by original authors or by the code available to the public with the default settings. As a result, a total of 180 deghosted images are produced. In the subjective test, the paired comparison methodology is employed, where participants are shown with two deghosted images at the same time, and are asked to choose the one they prefer. The graphical user interface (shown in Fig. 4) provides 3 representative LDR images on the top of the screen as the reference information. A pair of deghosted images are presented below the source sequence and the corresponding radio indicates their preference. Two identical 24-inch LED monitors are used in the test, calibrated according to the ITU-T BT.500 Recommendation [18]. For each participant, the experiment starts with a training session, which includes 10 paired comparisons, using image sequences independent of the testing session. When evaluating deghosted images, the participants are instructed to mainly consider the artifacts and detailed information preservation in deghosted images. In the testing ( ) session, we finish a complete experiment 9 within 20 =720 pairs in total. We divide the complete 2 experiment into 3 small sessions, in which each participant compares 240 pairs of images in 30 minutes in order to mitigate the fatigue effect. We invite 60 participants with normal or corrected visual acuity, aged from 18 to 40 to the subjective test, each of whom only conducts one session experiment. Finally, each image pair is compared exactly 20 times. The participants have no experience in image quality assessment, among which 20 are female and the rest are male. 3. DATA ANALYSIS Fig. 4. Graphical user interface in the subjective test. 1 0.8 0.6 0.4 0.2 0 0.2 0.4 0.6 0.8 Least square method Pseudo inverse method Maximum likehood method Maximum a posteriori estimation 1 SPD MEF Li14 Hu13 Sen12 Pmatix Qin15 Pece10 Lee Li12 Fig. 5. The aggregation results obtained by the four methods. of A and B is 1, which simplifies the Thurstone Law to C A,B μ AB = φ 1( ), (2) C A,B + C B,A The result for each scene is a preference matrix C, where each where μ AB is the quality different from the binary choice and entry is given by φ 1 (x) is the inverse cumulative distribution function (CDF) { of the standard normal function. # times option i preferred over option j if i j C i,j = 0 if i = j, (1) We then apply four different approaches including least squares method, maximum likelihood method, maximum a posteriori estimation method, and Morrissey and Gulliksen s incomplete matrix method [22] to aggregate the pairwise ranking information into a global ranking. The experimental results are shown in Fig. 5 and Fig. 6, from which we which represents the number of times that each option is preferred over the other option. The final results obtained by accumulating the preference matrices for all scenes is shown in Table 1. We adopt the statistical data analysis method by Tsukida and Gupta [19], which explains the experimental results under the Thurstones Case V Model [20]. In brief, it assumes that all options have equal variance and zero correlations (or less restrictively, equal correlations [21]). Furthermore, the Thurstones Case V Model sets the variances of the binary options, A and B, to one half σa 2 = σ2 B = 1 2 and the covariance have several useful observations. First, not a single HDR deghosting algorithm performs the best for all sequences, which indicates room for further performance improvement. Second, SPD-MEF [16] performs the best in general. The success may be that SPD-MEF [16] takes advantage of both exposure invariant feature and intensity mapping function for robust inconsistent motion rejection. Third, patch-based algorithms such as SPD-MEF [16], Hu13 [12] and Sen12

Algorithm Li12 Lee14 Photomatix Qin15 Pece10 Sen12 Hu13 Li14 SPD-MEF SUM Li12 0 134 86 68 52 60 52 54 15 521 Lee14 266 0 137 119 141 71 99 73 53 959 Photomatix 314 263 0 189 184 115 108 102 59 1334 Qin15 332 281 211 0 211 143 123 109 52 1431 Pece10 348 259 216 220 0 127 160 117 94 1541 Sen12 340 329 285 257 273 0 157 177 91 1909 Hu13 348 301 292 277 240 243 0 159 111 1971 Li14 346 327 298 291 283 223 241 0 111 2120 SPD-MEF 385 347 341 348 306 309 289 289 0 2614 Table 1. Total aggregate preference matrix in the subjective user study and the total number of preferences of each method. [10] generally perform better than pixel-based algorithms such as Pece10 [9], Li12 [11] and Lee14 [13], except for Li14 [17] that ranks the second. There is no surprise because patch-based algorithms take neighbouring information into consideration and result in more robust motion alignment. Note that Li14 [17], a pixel-based method, also considers neighbouring pixels in extreme cases to refine the motion rejection process. Fourth, the low-rank based method, Lee14 [13] is subpar in the test, resulting from the failure of preventing ghosting artifacts, especially on sequences with small motions. This may be because low rank schemes implicitly assume the static background dominates the scene, but small motions often do not follow the sparsity assumption, resulting in artifacts. Other methods that explicitly hold the assumption such as Pece10 [9] and Li12 [11] do not perform well either. Fifth, besides ghosting artifacts, we find some other types of distortions that may clearly affect the human judgements of perceptual quality. For example, halo artifacts at the boundary of the main subject with a bright background is the main problem for SPD-MEF [16]. Color speckle noise due to the inaccurate camera response function estimation would frequently appear for images generated by Lee14 [13]. In addition, blurring artifacts may be generated if there are small errors in motion estimation. Finally, in certain extreme cases, if the moving objects that appear in the final image are under-/overexposed, and their structures cannot be properly retrieved from other exposures, the ghosting artifacts would likely appear, which is a common problem to most existing deghosting schemes. NIQE IL-NIQE QAC PLCC 0.5985 0.5504 0.5161 SRCC -0.0279 0.2551-0.0234 RMSE 27.8045 27.8155 29.8785 Table 2. Experimental results by three no-reference image quality metrics. to develop full-reference image quality models for HDR deghosting for the lack of a well defined reference image. On the other hand, there exists no no-reference objective quality models specifically designed for HDR deghosting. Here, we use several general purpose no-reference objective quality models to conduct the experiments based on the subjective test: NIQE [23], IL-NIQE [24], and QAC [25]. In order to measure how well these models, we adopt three commonly used metrics: Pearson linear correlation coefficient (PLCC), Spearman rank-order correlation coefficient (SRCC), and Root mean squared error (RMSE). The experimental results are shown in Table. 2, where it can been seen that PLCC and SRCC values from these three metrics are relative low, and RMSE values are high, which demonstrates that these existing models cannot obtain good performance in performance evaluation of deghosted images. 4. CONCLUSION AND FUTURE WORK Fig. 6. Grouping and ranking for each algorithm according to the quality scores. The left, the better. As indicated previously, the subjective quality test is time consuming, laborious, and expensive. With new HDR deghosting algorithms being proposed, it is desirable to adopt objective quality models to measure how well different deghosting algorithms perform. However, it is difficult We create a large-scale database for quality evaluation of deghosted images. It contains 20 dynamic image sequences and 180 deghosting results by nine state-of-the-art deghosting algorithms, based on which we conduct a subjective user study. The constructed database with subjective scores can be used for the benckmark of objective quality assessment for HDR deghosting in the research community. We also provide in-depth analysis for the performance of different deghosting algorithms. In the future, we will develop effective IQA models for quality assessment of deghosted images.

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