Combining Spectral and Texture Features of UAV Images for the Remote Estimation of Rice LAI throughout the Entire Growing Season

: Leaf area index (LAI) estimation is very important, and not only for canopy structure analysis and yield prediction. The unmanned aerial vehicle (UAV) serves as a promising solution for LAI estimation due to its great applicability and ﬂexibility. At present, vegetation index (VI) is still the most widely used method in LAI estimation because of its fast speed and simple calculation. However, VI only reﬂects the spectral information and ignores the texture information of images, so it is difﬁcult to adapt to the unique and complex morphological changes of rice in different growth stages. In this study we put forward a novel method by combining the texture information derived from the local binary pattern and variance features (LBP and VAR) with the spectral information based on VI to improve the estimation accuracy of rice LAI throughout the entire growing season. The multitemporal images of two study areas located in Hainan and Hubei were acquired by a 12-band camera, and the main typical bands for constituting VIs such as green, red, red edge, and near-infrared were selected to analyze their changes in spectrum and texture during the entire growing season. After the mathematical combination of plot-level spectrum and texture values, new indices were constructed to estimate rice LAI. Comparing the corresponding VI, the new indices were all less sensitive to the appearance of panicles and slightly weakened the saturation issue. The coefﬁcient of determination (R 2 ) can be improved for all tested VIs throughout the entire growing season. The results showed that the combination of spectral and texture features exhibited a better predictive ability than VI for estimating rice LAI. This method only utilized the texture and spectral information of the UAV image itself, which is fast, easy to operate, does not need manual intervention, and can be a low-cost method for monitoring crop growth.


Introduction
As one of the world's three major food crops, rice is the staple food for half of the global population [1][2][3]. Its leaves, as the main organ of photosynthesis, have a significant effect on the overall growth status of the rice. Leaf area index (LAI), a concept first put forward by Watson [4], is half of the amount of leaf area per unit horizontal ground surface area [4][5][6]. It is regarded as a critical vegetation structural variable that characterizes the geometry of the crop canopy [7,8] and can be used as a predictor in crop biomass and yield estimation [9][10][11]. Accurate estimation of LAI is of great significance to paddy field management and precision agriculture. It is also a key indicator of photosynthesis [12,13] and evapotranspiration [14], and therefore plays an essential role in biogeochemical cycles in ecosystems [15].
With the development of remote sensing technology, the use of remote sensing images to estimate LAI has become a hot topic [5,6]. Past research has involved a variety of remote sensing techniques to estimate LAI based on empirical models [8,10,[16][17][18][19] and physical models [20][21][22][23]. The physical model simulates the radiative transfer of the signal within a canopy, but it requires many input parameters [20,21,24] and a few studies have shown that the derived products are less accurate than those of the empirical models [6,25,26]. The other common strategy used to estimate LAI is to establish an empirical relationship between ground measured LAI and vegetation index (VI) [19,27]. Since Rouse used ratio vegetation index (RVI) and normalized difference vegetation index (NDVI) to estimate crop characteristics in the 1970s [28], many VIs based on the combination of reflectance between different wavelengths have been established to estimate LAI in many vegetation types. For example, Viña et al. [29] evaluated several VIs calculated by green, red, red edge, and near-infrared (NIR) bands recorded by radiometers mounted on a ground system for estimating green LAI of maize and soybean in Lincoln, NE, U.S.A.. Yao et al. [17] developed a winter wheat LAI model with modified triangular vegetation index (MTVI2) based on a six-channel narrowband multispectral camera (Mini-MCA6) mounted on unmanned aerial vehicles (UAV) to increase the sensitivity of the model under various LAI values. Qiao et al. [8] chose NDVI to obtain the piecewise LAI-VI relationships based on phenophases of forests, crops, and grasslands using MODIS data. Dong et al. [19] compared the potential of red edge-based and visible-based reflectance VIs, which were calculated from multitemporal RapidEye images, for spring wheat and canola LAI estimation. VI combines the different responses of vegetation under different waveband reflectivity to distinguish the vegetation foreground from the soil background. The method is simple and effectively implemented to estimate phenotypic traits. However, there remain problems to be solved in rice LAI estimation.
The life cycle of rice plants ranges from three to six months from germination to maturity, depending on the variety and environment [30]. There are three main stages of the growth period: vegetative (germination to panicle initiation), reproductive (panicle initiation to heading), and ripening (heading to maturity) [31]. The morphological changes of rice and other vegetation types in different stages are very different. Rice seeds germinate and are then transplanted in soil/water. During vegetative and reproductive stages, with the tillering and jointing of the rice plant, the canopy closes gradually, the leaf area increases sharply, and the background is increasingly occluded. When 50% of the panicles have partially exserted from the leaf sheath, the plant enters heading stage [30,31]. The shape of the rice panicle is thin and long and the surface is rough. From this point on, the grain increases in size and weight and the plant enters ripening stage. With maturity, the panicle changes color from green to gold and turns heavy and droopy, which increases the complexity of the canopy structure. As such, the morphological changes of rice plants at different growth stages are more complex than those of other types of vegetation. It has been proven that the canopy light distribution will change dramatically with the emergence of panicles [32]. The complex changes of rice phenology affect the accuracy of LAI estimation by remote sensing methods during the rice growth season. Sakamoto et al. [33] investigated the relationship between visible atmospherically resistant index (VARI) and rice LAI in the entire growing season. They found that the appearance of yellow panicles in the camera's field of view would affect the LAI estimation with VARI [33]. Wang et al. [34] used ten VIs to estimate rice LAI before and after heading stages, which also proved that the relationship between LAI and post-heading VIs was weaker than pre-heading VIs.
Some rice LAI estimation experiments used partial samples for prediction before heading, while some made separate predictions of pre-and post-heading stages. Li et al. [35] applied a normalized texture index based on gray level co-occurrence matrix (GLCM) to improve the method of using color indices to estimate rice LAI during tillering to booting stages. Sakamoto et al. [33] established a linear regression model of the relationship be-tween VARI and LAI when LAI was greater than 0.4 before heading. Casanova et al. [16] fitted the rice LAI of the entire growing season with three exponential piecewise functions. The coefficients of determination (R 2 ) could reach 0.7 during vegetation and reproductive stages but only 0.25 during the ripening stage [16]. It must be noted that it is not easy to ascertain the heading date, especially for the experimental fields for breeding. For example, in the study of Ma et al. [36], six rice fields with multiple cultivars distributed in China were studied, and more than 1000 rice cultivars were planted in one single field among them. It is a time-consuming and labor-consuming task for professionals to observe whether these fields are heading every day. Therefore, even if there are many challenges, it is necessary to estimate rice LAI in the entire growing season.
In addition to spectral features, remote sensing images also provide more abundant texture information related to vegetation growth [37]. Zhang et al. [38] combined object-based texture features with a neural network to improve the accuracy of vegetation mapping. It has also been proven that GLCM features of high-resolution images could improve LAI and biomass estimation of forests [39,40]. With the improvement of spectral and spatial resolution of remote sensing images, the potential of texture application is also increasing. Since local binary pattern (LBP) was proposed by Ojala in 1996 [41], it has been considered one of the most effective, prominent, and widely studied local descriptors [42,43]. Due to its computational simplicity and tolerance against illumination changes [44], LBP and its extension have been widely applied in image processing, including texture classification [45][46][47], face recognition [48,49], medical image analysis [50][51][52], and archaeological surveying [53]. Compared with the GLCM method, the LBP operator is better at describing micro texture [54], and its ability to analyze multiple pixels at one time rather than a single pixel pair may provide some performance headroom on the image with the noise signal [55]. Considering that variance (VAR) reflects the image contrast, which is ignored by LBP, local binary pattern combined with variance features (LBP and VAR) proposed by Ojala in 2010 is not only robust to rotation but also retains the image contrast information [56,57]. It is easy to calculate and is abundant in information, meaning it has the potential for application in LAI estimation.
Considering the advantages of high resolution, flexibility, and low cost of UAV [35,37], it is useful for observing the rice fields and extracting texture information. Based on UAV images, the main purpose of this study is to explore the effect of introducing LBP and VAR features in rice LAI estimation throughout the entire growing season.

Study Area
Two field experiments planting with various hybrid rice cultivars were conducted at different experiment sites: Lingshui, Hainan (18 • Table 1. In order to distinguish the different plots in the image, some whiteboards were erected on the edges of the plots. The field management for these plots was the same, including fertilizer supply (12 kg/ha) and planting density (22.5 bundles/m 2 ). The field was managed by professionals with agronomic knowledge who controlled plant diseases and insect pests immediately.
Experiment 1 was carried out during a single season from February 2018 to April 2018 in Lingshui. Lingshui country is more suitable for planting crops and conducting breeding experiments from November to May than the mainland of China because of its tropical monsoon climate and high temperature throughout the year. On 10 December 2017, 42 rice cultivars were sown and on 8 January 2018 they were transplanted to 42 plots according to different cultivars (Figure 1a). The plot areas were about 63 m 2 . Each plot was divided into a subplot of 7 m × 7 m for non-destructive spectral information extraction and a subplot of 2 m × 7 m for LAI destructive sampling (around 310 bundles). For each plot 12 rows were planted and each row had double lines. The distance between the rows was 33 cm and 20 cm within the rows. Experiment 2 was conducted for a single season from June 2019 to September 2019 in Ezhou. Here, the flat terrain, sufficient sunlight and rain, and subtropical monsoon climate make it suitable for rice growth. On 11 May 2019, 48 rice cultivars were sown and on 9 June 2019 they were transplanted to 48 plots according to different cultivars ( Figure 1b). The plot areas were about 36 m 2 . Each plot was divided into a subplot of 8 m × 3 m for non-destructive spectral information extraction and a subplot of 4 m × 3 m for LAI destructive sampling (around 270 bundles). For each plot, 6 rows were planted and the distance between and within the rows was the same as in Experiment 1.

LAI Sampling and Determination of Heading Date
Ground destructive sampling was conducted at key growth stages from tillering to ripening. To collect LAI, three bundles of rice plants were randomly dug out from the sampling region of each plot of each campaign. The plants were placed in a bucket full of water and transported to the laboratory. After removing the roots and silt of the plants, the leaves and stems were split and the leaves were measured one by one with an LI-3100C leaf area meter (LI-COR, Lincoln, NE, United States). The relationship between LAI and the leaf areas of all three bundles of rice was calculated as: LAI = LA 3 × ρ, where ρ was the planting density (here, 22.5 bundles/m 2 ) and LA represented the leaf areas of all three bundles of rice. There were 252 and 624 samples collected in Experiment 1 and Experiment 2, respectively.
The heading date was the day that 50% of the panicles have exserted in a plot, which was manually recorded by observers. In this study, the growing season of each rice cultivar can be roughly divided by heading date into pre-heading stages (tillering, jointing and booting stages) and post-heading stages (heading and ripening stages).

Reflectance and Vegetation Indices from UAV Image
The multispectral images were acquired using an M8 UAV (Beijing TT Aviation Technology Co., Ltd., Beijing, China), equipped with a customized 12-lens Mini-MCA camera (Tetracam Inc., Chatsworth, CA, United States) with customer-specified, centered band pass filters shown in Table 2, covering the main wavelength where plants were sensitive [10,37,[58][59][60][61][62]. The UAV flight was performed in clear and cloudless weather between 10 a.m. and 2 p.m. local time at a height of 120 m in Experiment 1 and 100 m in Experiment 2, with a spatial resolution of 6.5 cm/pixel and 5.5 cm/pixel, respectively. The morphology and characteristics of the rice in the images were similar at these resolutions, so the difference in resolution can be ignored. This instrument and similar flight heights are widely used in other forms of rice research, including rice nitrogen concentration estimation [63], rice biomass estimation [59], rice LAI estimation [37], and rice yield estimation [62]. The 12 lenses were co-registered in the laboratory before the flight, and band-to-band registration for images was performed after the flight so that the corresponding pixels overlapped spatially on the same focal plane. Next, the radiation correction using the empirical linear correction method [64][65][66] was applied to each band through eight blankets with standard reflectance of 0.03, 0.06, 0.12, 0.24, 0.36, 0.48, 0.56, and 0.80, laid on the edge of the field in advance. These blankets were measured by an ASD Field Spec 4 spectrometer (Analytical Spectral Devices Inc., Boulder, CO, USA) in different experimental areas to verify constant reflectance.
The reflectance spectra of typical ground objects in the field, that is, soil background and green leaves before heading and panicles and yellowing leaves after heading, are shown in Figure 2. The reflectance of each wavelength was locally extracted from the corresponding object in the image. A rectangular region of interest (ROI) with the same size in each experiment that maximally fits the plot was determined to extract spectral information for each plot. The average reflectance of all pixels in the ROI was regarded as the plot-level canopy reflectance. Since the multispectral image taken on 26 June showed irreparable specular reflection due to its obvious water background, 24 affected samples were deleted in subsequent processing on this date. The plot-level vegetation indices were calculated from plot-level canopy reflectance. Ten VIs were tested in this study (Table 3) and were divided into three categories according to different calculation methods: ratio indices, normalized indices, and modified indices. Table 3. The vegetation indices that were tested in the study.

Ratio Indices
Green Chlorophyll Index (CI green ) Normalized Indices Modified Indices

Texture Measurements
In this study, the rice canopy texture model was described by LBP and VAR. LBP and VAR are very effective features for describing local texture, and they were calculated from the reflectance images of 550 nm, 670 nm, 720 nm, and 800 nm that constitute VI.
LBP is a powerful local lighting invariant operator that describes the relationship between the gray values of the surrounding neighborhood (g i , i = 1, 2, . . . , 8) and the center pixel (g 0 ) [56]. LBP can be calculated as: It has been proven that uniform LBP is the basic structure of LBP [56]. The U(LBP) value of an LBP is defined as the number of spatial transitions (bitwise 0/1 changes) within that pattern. Moreover, the uniform LBP pattern refers to the uniform appearance pattern which has limited transitions and discontinuities (U(LBP) ≤ 2) in the circular binary presentation [57]. Considering the various values obtained from different starting neighborhoods, the uniform LBP value depends heavily on the direction of the image. Therefore, the uniform LBP is further simplified for a local rotation-invariant pattern, which is described as the following: Figure 3 shows nine patterns of LBP riu2 representing different local features. For example, a value of 0 is a spot feature, while that of 3-5 refers to line or edge and 8 to spot or flat feature. LBP riu2 describes the spatial structure but discards the contrast of local texture. Thus, it complements VAR [56,57,75]. VAR is a rotation invariance measure of local variance which characterizes the contrast of local image texture. It has been proven that the combination of LBP riu2 with VAR will enhance the performance of texture [56,57,76]. VAR is calculated as follows: LBP riu2 and VAR were extracted from the reflectance images. To acquire a more comprehensive texture feature, the two texture images were multiplied pixel by pixel to obtain an LBP and VAR texture image, which was recorded as LBP riu2 × VAR. The plotlevel LBP riu2 × VAR value was calculated by the average gray value of the pixels in ROI of LBP riu2 × VAR. To limit the influence of the panicles, the negative natural logarithm of LBP riu2 × VAR value was multiplied with the reflectance on the plot level, and the product was recorded as LV-R. Then the reflectance values in each VI formula were replaced with LV-Rs to obtain a new index, denoted as LV-VI (Figure 4). The calculated LV-VIs were evaluated for rice LAI estimation and were further compared with traditional VIs.

Algorithm Development for LAI Estimation
The final estimated model of LAI was developed by a k-fold cross-validation procedure. K-fold cross-validation was a statistical method which was widely applied in a model establishment [77][78][79]. In this study, k = 10, which is a common value used in many studies [77,79,80]. The samples were divided into k parts, k − 1 parts were applied to establish the model to obtain coefficients (Coef i ) and coefficients of determination R 2 i , and the remaining part was regarded as the test set. The above steps were repeated k times, and the average values of root mean square error (RMSE) and coefficient of variation (CV) based on test set were calculated as follows [81]:

Relationships of VI vs. Rice LAI throughout the Entire Growing Season
Some studies have proved that the exponential regression model is more suitable for fitting LAI and VI [34,37,82]. The R 2 of the exponential regression model of ten VIs and the measured LAI throughout the entire growing season are shown in Table 4, of which MTCI was the lowest and EVI2 was the highest, though their scatter fitting results before heading were similar with R 2 over 0.75 (Figure 5a,h). In addition, the R 2 of ratio indices (CI red edge , CI green , and RVI) with similar scatter fitting results before heading were also generally low (R 2 < 0.5), while the normalized indices (NDRE, GNDVI, and NDVI) were slightly higher (R 2 > 0.5). The scattered points before heading and after heading of ratio indices and MTCI were more severely separated (Figure 5a-d), while those of normalized indices and EVI2 were slightly weaker (Figure 5e-h). The hysteresis effect could significantly decrease the R 2 of LAI vs. VI fitting throughout the entire growing season.  As shown in Figure 5, all indices tended to reach saturation rapidly in moderate-tohigh LAI variation before heading. The phenomenon of ratio indices was not as obvious as normalized indices. For normalized indices, the saturation of NDRE was not as obvious as GNDVI and NDVI. Comparing the R 2 before heading, it is obvious that the saturation effect decreased the fitting accuracy of the pre-heading stage.

Rice LAI Estimation Combined with Texture Features
The changes of rice in different growth stages could be reflected by texture. At the vegetative stage, rice was planted in a stripe shape and the width of the stripe becomes wider as the rice grows [37]. When the leaves occluded most of the background, the wide stripes combined with each other to form a flat area covering the entire field. As the rice continued to grow, panicles began to emerge in the canopy, appearing as little dots in the image and breaking the flat texture. Therefore, the difference and complementarity of spectrum and texture in different growth stages could be utilized to assist VI in LAI estimation.

Variation of LBP and VAR in Pre-Heading Stages and Post-Heading Stages
The relationships between LAI vs. plot-level reflectance (Figure 6a-d) and LAI vs. plot-level LBP riu2 × VAR (Figure 6e-h) are shown in Figure 6. Due to the difference in reflectivity and distribution of various objects shown in Figure 2, the results of texture varied in different wavebands (Figure 6e-h). The trends of time series changes of scatter distribution were opposite. In the scatter plot of LAI vs. reflectance, the time series bands of 550 nm, 670 nm, and 720 nm showed a counterclockwise distribution, while the same bands presented a clockwise distribution in LAI vs. LBP riu2 × VAR scatter plots. This made it possible to improve LAI estimation by combining the two indices. At the same time, with LAI increasing to a medium-high level before heading, the value of LBP riu2 × VAR was less saturated in the 550 nm and 670 nm bands, which made it beneficial for saturation reduction to combine the two indices. The relationships between the combined index LV-R and LAI are shown in Figure 6i-l. The hysteresis effects of LV-R at 550 nm, 670 nm, and 720 nm were obviously weakened, and the saturation effects at 550 nm and 670 nm were also slightly reduced. Figure 6. Rice LAI plotted against the reflectance of (a) 550 nm, (b) 670 nm, (c) 720 nm, (d) 800 nm, the LBP riu2 × VAR calculated based on the bands of (e) 550 nm, (f) 670 nm, (g) 720 nm, (h) 800 nm, and the LV-R of (i) 550 nm, (j) 670 nm, (k) 720 nm, (l) 800 nm during the entire growth season. When the horizontal axis of LBP riu2 × VAR was expressed in exponential form, it was the opposite of the trend of LAI vs. reflectance. The LV-R index combining R and LBP riu2 × VAR had a smaller separation than R between pre-heading stages (Pre-HD) and post-heading stages (Post-HD). Figure 7 shows the comparable results of using textures to improve VIs. For all VIs, the scattered points after heading in LV-VIs were closer to the fitting curve of the whole growth stage than those in initial VIs, and the saturation effects before heading of all indices were also weakened. The saturation of the ratio indices was less obviously decreased than that of the normalized indices. To verify the reliability of the model, R 2 and RMSE statistics of VI and LV-VI after 10-fold cross-validation are shown in Table 5. All LV-VIs that combined with textures have improved the effect of using solely VIs to estimate LAI. Moreover, the improvement showed low dependence on the type of VIs used, including ratio, normalized, and modified indices. R 2 increased by more than 0.13 (CI green , CI red edge , NDRE, and MTCI) and RMSE decreased by more than 0.1 (CI green , GNDVI, NDRE, EVI2). The inclusion of LBP and VAR features significantly improved the accuracy of the model for those containing the index of the 550 nm band (CI green and GNDVI), with CV decreased by more than 2.5%. There was also a notable improvement in the model containing the index of the 720 nm band (CI red edge , NDRE, MTCI, and OSAVI), with CV decreased more than 1.3% (Figure 8). However, for the model containing the index of the 670 nm band, the effect of accuracy improvement was uncertain. CV was decreased more than 3.2% for EVI2, while the improvements of others (RVI, WDRVI, and NDVI) were restricted.  The relationships between estimated LAI and measured LAI of some LV-VIs are shown in Figure 9. Considering the distribution and saturation of scattered points and values of R 2 and RMSE, LV-CI green , LV-EVI2, and LV-NDRE were the best estimation models of rice LAI throughout the entire growing season in green, red, and red edge bands, respectively.

Discussion
In this study, we tested 10 commonly used VIs (CI green , RVI, CI red edge , GNDVI, NDVI, NDRE, MTCI, OSAVI, and EVI2) that had been widely applied in the estimation of LAI [19,78], biomass [61,83], and yield of crops [60,81]. When LAI reached a moderateto-high variation, VIs were rapidly saturated, especially for the normalized VIs such as GNDVI, NDVI, and NDRE (Figure 5e-g). Considering only the period before heading, although these VIs were saturated with limited transitional zones, R 2 could still reach above 0.65 ( Figure 5). However, when the LAI of rice was estimated for the entire growing season, R 2 was significantly reduced, and the decrease for MTCI was even more than 0.4 ( Table 4).
The hysteresis effect after heading is a core issue that affects the accuracy of LAI estimation during the whole growing season of rice. Substantial hysteresis of the reflectance and canopy chlorophyll content had been discovered between the vegetative and reproductive stages in maize and soybean [84]. However, unlike the crops above, the hysteresis of rice was more exaggerated due to the complexity of the canopy structure. Rice leaves are more bent and crisscross with each other. The panicle is small and slender and varies with the growing period, so the complexity of the canopy increases [85,86]. The scattered points after heading in VI vs. LAI were clearly far away from those of the LAI vs. VI relationship before heading ( Figure 5).
It is unrealistic, however, to establish a model before and after heading. The heading time of rice depends greatly on cultivars and environments, and recording the heading dates requires significant time and manpower, especially for breeding studies. Therefore, it is necessary to set an LAI estimation model for the entire growing season.
This study introduced the texture feature LBP and VAR to improve the VI model and to minimize the effect of saturation and hysteresis over the entire rice growing season. The spectral curves of typical features are very different before and after heading (Figure 2). Before heading, the field is mainly composed of leaves and soil background. Taking the tillering stage as an example, leaves are more reflective than soil in green bands due to the weak absorption of chlorophyll, while the reflectance of soil is slightly higher in the red and blue main absorption bands of chlorophyll [24]. As the rice grows, the soil background is gradually occluded by leaves and the appearance of panicles. At this time, only leaves and panicles are visible in the image. In the visible light band, panicles absorb less, mainly because they have a lower chlorophyll content than leaves [32]. In the NIR band, which is mainly affected by the structure of canopy, the area with the most panicles reflects more because of its higher canopy thickness [60]. Thus, in the pre-heading reflectance images in Figure 10 (DAT 23 and 47), the bright lines in the 550 nm, 720 nm, and 800 nm images are the leaves, while in 670 nm, the slightly bright lines are the soil background. In the post-heading reflectance images in Figure 10 (DAT 63 and 85), for the visible light bands such as 550 nm and 670 nm, the panicles are embedded in the leaves like stars. In the 720 nm and 800 nm reflectance images after heading, the bright lines represent the dense, thick canopies of panicles, and the dark lines are the thin canopies with leaves.  The LBP riu2 and VAR of each individual pixel in the reflectance images were calculated separately, depicting local texture information ( Figure 10). LBP riu2 only gave integer values between 0 and 9, as shown in Figure 3, which could distinguish bright spot features (with a value of 0), line or edge features (with values of 3-5), dark spot or flat features (with a value of 8), and so on. These features were related to the distribution of different objects in a rice field. As shown in Figure 10, in the first few days after transplanting (DAT 23), lines could be recognized in LBP riu2 images of any band due to the ridges in the field. As the rice grew, leaves gradually occluded soil background and continuous edges broke so that bright spots and flat areas increased simultaneously, and the entire brightness changed slightly and inconsistently. After rice heading, with panicles exerting, bright spots could be distinguished and the LBP riu2 image darkened ( Figure 10). VAR calculated the variance of surrounding pixels and provided contrast information. Homogeneous areas have smaller values. As leaves gradually covered the background before heading, VAR values decreased and the image turned slightly darker. When panicles exserted after heading, these high reflected objects decreased the homogeneity and thus the brightness of the VAR images increased drastically ( Figure 10). The edges of objects were usually fuzzy in VAR images, but these were much clearer under the specific values of LBP riu2.
The combination of LBP riu2 × VAR characteristics continued to follow the trend of VAR but showed more obvious differences between objects. In particular, the edges between leaves and soil background were thinned before heading, and the spots of panicles shrank after heading, both of which better represented the truth on the ground ( Figure 10).
In terms of the image, the texture features of −ln(LBP riu2 × VAR) enhanced the differences in detail between the background and leaves before heading (Figure 10, DAT 23 and 47). At the same time, the gray values of the panicles in these images after heading were very low. In the LV-R image obtained by multiplying the texture image and the reflectance image, the influence of panicles was obviously suppressed (Figure 10, DAT 63 and 85) and thus LV-R indices were more suitable for constructing VIs throughout the entire growing season.
VIs presented the difference in reflectance between visible light and NIR [87]. In the tillering stage, this difference suddenly widened to a high level (Figure 11a), which led to saturation in VI vs. LAI ( Figure 5). In contrast, the difference narrowed after heading (Figure 11a) which caused hysteresis ( Figure 5). As a result of the time variation of LBP riu2 and VAR, the combination indices decreased slightly before heading and, remarkably, increased after heading in visible bands ( Figure 10). Being unabsorbed by plants, VAR at 800 nm was not as sensitive to the variation of growth stages as those in visible bands ( Figure 10), and so LBP riu2 × VAR with its negative logarithm changed less at 800 nm, meaning the difference between the visible and NIR bands narrowed after heading. As shown in Figure 11b, −ln(LBP riu2 × VAR) displayed the opposite trend to R. The relatively high value of logarithm index could narrow the difference in reflectance in the tillering stage, while the low value after heading could widen it and thus reduce the saturation and hysteresis effects. At the 670 nm band, however, −ln(LBP riu2 × VAR) had a relatively high value after heading and a weaker counterclockwise trend on the scatter plot with LAI ( Figure 6). LV-VIs with dependence on indices at this band had less of an advantage than the others.
Comparing the LV-VI model with VI, as displayed in the scatter plot of Figure 7, reveals that the yellow part (after heading) data after processing are clearly similar to the green part (before heading) data. The slope of the turning point of the green part data also slowed down. By introducing texture features, the R 2 of all tested VIs increased significantly, while RMSE and CV decreased significantly ( Figure 8, Table 5). The method developed in our study is very simple for estimating rice LAI. It combines texture information with spectral information to effectively reduce saturation and hysteresis which emerges at certain stages. Compared with the physical model, the proposed model requires fewer parameters, thus avoiding the uncertainty of multiple rice cultivars and LAI estimation based on assumptions. The algorithms used in this study are exponential regressions that work rapidly and efficiently, meaning there was no need for sophisticated algorithms (e.g., machine learning method) requiring large-scale computation. This method only requires the use of reflectance images to estimate rice LAI during the entire growing season, and it is not necessary to establish a model before and after heading. Since VI, LBP, and VAR can be obtained by one UAV platform at a low cost, and can be simply and rapidly calculated from reflectance images, our method can be widely used in paddy field management and precision agriculture, especially in fields containing many cultivars for breeding. Figure 11. Temporal behaviors of (a) the reflectance ratio of visible and NIR and (b) the −ln(LBP riu2 × VAR) ratio of visible and NIR during the entire rice growing season. −ln(LBP riu2 × VAR) showed the opposite trend to R. The relatively high value of the logarithm index could narrow the difference of reflectance in the tillering stage, while the low value after heading could widen it instead, thus reducing the saturation and hysteresis effects.

Conclusions
In our study, we combined LBP and VAR with reflectance to construct new LV-VI parameters and applied them to LAI estimation. Compared with the corresponding VIs tested in this study, the fitting accuracy of all LV-VIs has been improved, R 2 has been improved by up to 0.166 (MTCI), and RMSE and CV were 0.147 and 3.5% lower (GNDVI), respectively. The RMSE and CV of exponential fitting of LV-EVI2 were down to 1.367 and 32.7%, respectively. Considering the revealing effect of texture on different growth stages, LAI can be estimated more accurately by combining texture with spectrum. The combination of textural features enhances the contrast between crops and soil background in the image and weakens it between pixels with and without panicles. Moreover, it further adjusts the influence of reflectance given by the change of ground feature types in different growth stages. Therefore, in the LAI vs. VI scatters, the saturation before heading and the hysteresis effect after heading are obviously weakened. Since the LV-VI can be calculated simply and rapidly from a UAV reflectance image, our method provides a simple, low-cost option for crop growth monitoring and the progress of paddy field management, especially for rice breeding studies in fields containing a variety of cultivars. Future investigations are necessary to provide comparisons with different methods for estimating rice LAI, and to consider the underlying mechanisms of different textures throughout the entire growing season.
Author Contributions: All authors have made significant contributions to this manuscript. Y.G. and