Fig 1 - uploaded by Charles M. Bachmann
Content may be subject to copyright.
The versatility of digital imaging and remote sensing image generation (DIRSIG) lies in user control. Within a single simulation, each link of the image chain can be modeled with precision. The input of the chain is a uniquely defined scene and irradiance level. The output is a radiance image produced by a virtual sensor. Links of the chain include the light source, radiation propagation, target geometry, atmosphere, and the sensor. Parameters of each link are defined prior to simulation. Since the model is compartmentalized, scenarios can be changed with precision and with ease. 

The versatility of digital imaging and remote sensing image generation (DIRSIG) lies in user control. Within a single simulation, each link of the image chain can be modeled with precision. The input of the chain is a uniquely defined scene and irradiance level. The output is a radiance image produced by a virtual sensor. Links of the chain include the light source, radiation propagation, target geometry, atmosphere, and the sensor. Parameters of each link are defined prior to simulation. Since the model is compartmentalized, scenarios can be changed with precision and with ease. 

Source publication
Article
Full-text available
Soil reflectance signatures were modeled using the digital imaging and remote sensing image generation model and Blender three-dimensional (3-D) graphic design software. Using these tools, the geometry, radiometry, and chemistry of quartz and magnetite were exploited to model the presence of particle size and porosity effects in the visible and the...

Contexts in source publication

Context 1
... radiometric aspects of this simulation are solved using the DIRSIG model. DIRSIG is a first-principles ray- tracing model that outputs detected at-sensor radiance. Light sources, scene geometries, and sensor configurations are all defined by the user (Fig. 1). This model has been pre- dominantly used for the analysis and modeling of sensors. DIRSIG allows for direct system comparisons. A single scene can be observed under varying atmospheric condi- tions, with multimodal sensing techniques. Though it is easy to conceptualize passive remote sensing as light rays travel- ing from source to target to sensor, DIRSIG models radiation in inverse fashion. Rays are initially cast from individual pix- els of a user-defined focal plane array. These rays determine the area observed at each pixel, and where incident radiation ...
Context 2
... bimodal particle size distribution was used to evalu- ate the effects of density for soil samples that contained a mixture of quartz and magnetite particles. Within the Blender 3-D sample, small particles (106 and 150 μm) were given the spectral signature of magnetite. All particles larger than 150 μm were represented as pure quartz. This distribu- tion was used because it closely resembled the distribution observed by Bachmann et al. 11 In that paper, soil that was denser was observed to reflect less than sand with higher levels of porosity. It was assumed that this result was a con- sequence of small black magnetite particles that more com- pletely fill pore spaces when soil is dense. To test this, a DIRSIG simulation was created using the scene described above. The illumination source was positioned 20 deg from nadir in the zenith axis. BRDF values were calculated in the visible and shortwave infrared (SWIR). The reflectance characteristics of the mixed soil are compared with pure quartz in Fig. ...
Context 3
... decrease in the reflectance of soil containing small magnetite grains. A much smaller reflectance gradient exists in Figs. 10(d) to 10(f), which describe a low-density sample. Bachmann et al. also observed there to be greater variance in measurements collected in the SWIR. The spectral reflectance of quartz contrasts more with the reflectance of magnetite in this regime. 11 This trend is observed in the simulation results displayed in Fig. 10. All plots in this figure include standard deviation error bars, which were calculated using the reflec- tance simulation of five separate geometric representations of the respective high-and low-density scenes. Standard deviation is larger in the low-density scene. Not only is the reflectance gradient in the 450, 1000, and 1915 nm bands less distinct for the less-dense scene, there is less certainty in the results. This is a product of transient porosity features in the five different simulations of the low-density scene. There was less change in porosity between each representation of the high-density scene. BRDF change with respect to wavelength can be seen in Fig. 11, where the 450, 868, 1000, and 1915 nm bands are plotted together for low-density [ Fig. 11(a)] and high- density [ Fig. 11(b)] scenarios. For a bimodal distribution, spectral contrast due to density has been observed to increase as phase angle increases. 11 The DIRSIG model presented in this work also predicts this ten- dency. Figure 12 shows that the increase in contrast of a quartz and magnetite mixture occurs at visible and SWIR wavelengths. As expected, contrast is greater in the SWIR and increases with larger phase angles. This simulation did not consider coherent scatter beyond that which was cap- tured in the reflectance measurements of the USGS. There- fore, the trend of increasing contrast that was observed in Ref. 11 can be at least partially attributed to the intricacies of soil geometry that are associated with pore spacing, par- ticle size, and surface ...
Context 4
... decrease in the reflectance of soil containing small magnetite grains. A much smaller reflectance gradient exists in Figs. 10(d) to 10(f), which describe a low-density sample. Bachmann et al. also observed there to be greater variance in measurements collected in the SWIR. The spectral reflectance of quartz contrasts more with the reflectance of magnetite in this regime. 11 This trend is observed in the simulation results displayed in Fig. 10. All plots in this figure include standard deviation error bars, which were calculated using the reflec- tance simulation of five separate geometric representations of the respective high-and low-density scenes. Standard deviation is larger in the low-density scene. Not only is the reflectance gradient in the 450, 1000, and 1915 nm bands less distinct for the less-dense scene, there is less certainty in the results. This is a product of transient porosity features in the five different simulations of the low-density scene. There was less change in porosity between each representation of the high-density scene. BRDF change with respect to wavelength can be seen in Fig. 11, where the 450, 868, 1000, and 1915 nm bands are plotted together for low-density [ Fig. 11(a)] and high- density [ Fig. 11(b)] scenarios. For a bimodal distribution, spectral contrast due to density has been observed to increase as phase angle increases. 11 The DIRSIG model presented in this work also predicts this ten- dency. Figure 12 shows that the increase in contrast of a quartz and magnetite mixture occurs at visible and SWIR wavelengths. As expected, contrast is greater in the SWIR and increases with larger phase angles. This simulation did not consider coherent scatter beyond that which was cap- tured in the reflectance measurements of the USGS. There- fore, the trend of increasing contrast that was observed in Ref. 11 can be at least partially attributed to the intricacies of soil geometry that are associated with pore spacing, par- ticle size, and surface ...
Context 5
... decrease in the reflectance of soil containing small magnetite grains. A much smaller reflectance gradient exists in Figs. 10(d) to 10(f), which describe a low-density sample. Bachmann et al. also observed there to be greater variance in measurements collected in the SWIR. The spectral reflectance of quartz contrasts more with the reflectance of magnetite in this regime. 11 This trend is observed in the simulation results displayed in Fig. 10. All plots in this figure include standard deviation error bars, which were calculated using the reflec- tance simulation of five separate geometric representations of the respective high-and low-density scenes. Standard deviation is larger in the low-density scene. Not only is the reflectance gradient in the 450, 1000, and 1915 nm bands less distinct for the less-dense scene, there is less certainty in the results. This is a product of transient porosity features in the five different simulations of the low-density scene. There was less change in porosity between each representation of the high-density scene. BRDF change with respect to wavelength can be seen in Fig. 11, where the 450, 868, 1000, and 1915 nm bands are plotted together for low-density [ Fig. 11(a)] and high- density [ Fig. 11(b)] scenarios. For a bimodal distribution, spectral contrast due to density has been observed to increase as phase angle increases. 11 The DIRSIG model presented in this work also predicts this ten- dency. Figure 12 shows that the increase in contrast of a quartz and magnetite mixture occurs at visible and SWIR wavelengths. As expected, contrast is greater in the SWIR and increases with larger phase angles. This simulation did not consider coherent scatter beyond that which was cap- tured in the reflectance measurements of the USGS. There- fore, the trend of increasing contrast that was observed in Ref. 11 can be at least partially attributed to the intricacies of soil geometry that are associated with pore spacing, par- ticle size, and surface ...
Context 6
... decrease in the reflectance of soil containing small magnetite grains. A much smaller reflectance gradient exists in Figs. 10(d) to 10(f), which describe a low-density sample. Bachmann et al. also observed there to be greater variance in measurements collected in the SWIR. The spectral reflectance of quartz contrasts more with the reflectance of magnetite in this regime. 11 This trend is observed in the simulation results displayed in Fig. 10. All plots in this figure include standard deviation error bars, which were calculated using the reflec- tance simulation of five separate geometric representations of the respective high-and low-density scenes. Standard deviation is larger in the low-density scene. Not only is the reflectance gradient in the 450, 1000, and 1915 nm bands less distinct for the less-dense scene, there is less certainty in the results. This is a product of transient porosity features in the five different simulations of the low-density scene. There was less change in porosity between each representation of the high-density scene. BRDF change with respect to wavelength can be seen in Fig. 11, where the 450, 868, 1000, and 1915 nm bands are plotted together for low-density [ Fig. 11(a)] and high- density [ Fig. 11(b)] scenarios. For a bimodal distribution, spectral contrast due to density has been observed to increase as phase angle increases. 11 The DIRSIG model presented in this work also predicts this ten- dency. Figure 12 shows that the increase in contrast of a quartz and magnetite mixture occurs at visible and SWIR wavelengths. As expected, contrast is greater in the SWIR and increases with larger phase angles. This simulation did not consider coherent scatter beyond that which was cap- tured in the reflectance measurements of the USGS. There- fore, the trend of increasing contrast that was observed in Ref. 11 can be at least partially attributed to the intricacies of soil geometry that are associated with pore spacing, par- ticle size, and surface ...
Context 7
... decrease in the reflectance of soil containing small magnetite grains. A much smaller reflectance gradient exists in Figs. 10(d) to 10(f), which describe a low-density sample. Bachmann et al. also observed there to be greater variance in measurements collected in the SWIR. The spectral reflectance of quartz contrasts more with the reflectance of magnetite in this regime. 11 This trend is observed in the simulation results displayed in Fig. 10. All plots in this figure include standard deviation error bars, which were calculated using the reflec- tance simulation of five separate geometric representations of the respective high-and low-density scenes. Standard deviation is larger in the low-density scene. Not only is the reflectance gradient in the 450, 1000, and 1915 nm bands less distinct for the less-dense scene, there is less certainty in the results. This is a product of transient porosity features in the five different simulations of the low-density scene. There was less change in porosity between each representation of the high-density scene. BRDF change with respect to wavelength can be seen in Fig. 11, where the 450, 868, 1000, and 1915 nm bands are plotted together for low-density [ Fig. 11(a)] and high- density [ Fig. 11(b)] scenarios. For a bimodal distribution, spectral contrast due to density has been observed to increase as phase angle increases. 11 The DIRSIG model presented in this work also predicts this ten- dency. Figure 12 shows that the increase in contrast of a quartz and magnetite mixture occurs at visible and SWIR wavelengths. As expected, contrast is greater in the SWIR and increases with larger phase angles. This simulation did not consider coherent scatter beyond that which was cap- tured in the reflectance measurements of the USGS. There- fore, the trend of increasing contrast that was observed in Ref. 11 can be at least partially attributed to the intricacies of soil geometry that are associated with pore spacing, par- ticle size, and surface ...
Context 8
... DIRSIG-based model shows that the results observed by Bachmann et al. may have been partially caused by the particle size distribution of the sample soil. The plots in Fig. 10 also confirm the notion that the effects of magnetite are more pronounced in high-density samples. Figures 10(a) to 10(c) correspond to a high-density soil sample and reveal a In the high-density plots (a-c), the impact of intimate mixing between magnetite and quartz was defined by a noticeable drop in reflectance at all viewing angles. There was very little variance between the BRDF of mixed soil and pure quartz in the low-density scenario ...
Context 9
... DIRSIG-based model shows that the results observed by Bachmann et al. may have been partially caused by the particle size distribution of the sample soil. The plots in Fig. 10 also confirm the notion that the effects of magnetite are more pronounced in high-density samples. Figures 10(a) to 10(c) correspond to a high-density soil sample and reveal a In the high-density plots (a-c), the impact of intimate mixing between magnetite and quartz was defined by a noticeable drop in reflectance at all viewing angles. There was very little variance between the BRDF of mixed soil and pure quartz in the low-density scenario ...
Context 10
... the degree of contrast in reflectance signature that increases with phase angle was linked to sample geom- etry. Models affirmed that the univariant signature of reflec- tance is built upon an interdependent trade space of several geometric variables. The influence of realistic particle geom- etry needs to be explored in greater depth if functional mod- els are to be accurately developed for soils and mixed solids. It is the ability to focus on geometric modeling that separates this technique from other models. Because the use of Blender 3-D and DIRSIG provides complete user control of sample geometry and the assignment of spectral properties, it serves as a convenient test-bed for target construction and target signature sensing. This technique can be easily modified for implementation with other material mixtures provided that pure spectral reflectance or emissivity data is available. Ultimately, this study demonstrated that by combining Fig. 11 Principal plane BRDF of bimodal quartz and a bimodal quartz/magnetite mixture is plotted at 450, 868, 1000, and 1915 nm for low-density (a) and higher density (b) scenarios. As observed by Ref. 11, the difference in BRDF between the pure and mixed targets increases when density is high. Fig. 12 Variance between the reflectance of high-density soil and low-density soil for a bimodal distribution of magnetite and quartz was shown to increase as phase angle increased. The effect was more dramatic in the shortwave infrared (SWIR). These effects have been observed in previous lab analysis. 11 realistic target geometry and spectral measurements of pure quartz and magnetite, effects of soil particle size, density, and texture could be modeled without functional data fitting or rigorous analysis of material ...
Context 11
... the degree of contrast in reflectance signature that increases with phase angle was linked to sample geom- etry. Models affirmed that the univariant signature of reflec- tance is built upon an interdependent trade space of several geometric variables. The influence of realistic particle geom- etry needs to be explored in greater depth if functional mod- els are to be accurately developed for soils and mixed solids. It is the ability to focus on geometric modeling that separates this technique from other models. Because the use of Blender 3-D and DIRSIG provides complete user control of sample geometry and the assignment of spectral properties, it serves as a convenient test-bed for target construction and target signature sensing. This technique can be easily modified for implementation with other material mixtures provided that pure spectral reflectance or emissivity data is available. Ultimately, this study demonstrated that by combining Fig. 11 Principal plane BRDF of bimodal quartz and a bimodal quartz/magnetite mixture is plotted at 450, 868, 1000, and 1915 nm for low-density (a) and higher density (b) scenarios. As observed by Ref. 11, the difference in BRDF between the pure and mixed targets increases when density is high. Fig. 12 Variance between the reflectance of high-density soil and low-density soil for a bimodal distribution of magnetite and quartz was shown to increase as phase angle increased. The effect was more dramatic in the shortwave infrared (SWIR). These effects have been observed in previous lab analysis. 11 realistic target geometry and spectral measurements of pure quartz and magnetite, effects of soil particle size, density, and texture could be modeled without functional data fitting or rigorous analysis of material ...

Similar publications

Article
Full-text available
While improved visual realism is known to enhance training effectiveness in virtual surgery simulators, the advances on realistic rendering for these simulators is slower than similar simulations for man-made scenes. One of the main reasons for this is that in vivo data is hard to gather and process. In this paper, we propose the analysis of videol...
Conference Paper
Full-text available
Satellite instruments operating in the reflective solar wavelength region require accurate and precise determination of the Bidirectional Reflectance Distribution Functions (BRDFs) of the laboratory and flight diffusers used in their pre-flight and on-orbit calibrations. This paper advances that initial work and presents a comparison of spectral Bi...
Article
Full-text available
The directional reflection characteristics of fabrics with various texture structures is an important and challenging topic in computer graphics and visual simulation. In the present study, the Bidirectional Reflectance Distribution Function (BRDF) of four different textured fabrics is measured via a self-designed Scatterometry to analyze the effec...
Article
Full-text available
Multi-spectral imagery captured from unmanned aerial systems (UAS) is becoming increasingly popular for the improved monitoring and managing of various horticultural crops. However, for UAS-based data to be used as an industry standard for assessing tree structure and condition as well as production parameters, it is imperative that the appropriate...
Article
Full-text available
Our paper mainly focuses on the control of light scattering by periodic or randomly rough structures. First designed with bi-periodical structures, antireflective surfaces can be achieved with random patterns. We present some new structures with periodic or random patterns, which have been designed by rigorous numerical methods (FDTD) or analytical...

Citations

... In Pilorget et al. (2016), the macroscopic roughness parameter, as defined by Hapke (1984), has been shown evolving with the wavelength and being to first order correlated with the absorptivity of the particles, thus mostly corresponding to a measurement of the particle shadowing. Additional support for this observation can be found in Carson et al. (2015), who find from a physically robust modelling study that fine granular soils composed of quartzite and magnetite have a bidirectional reflectance distribution function (BRDF) intensity which is inversely proportional to wavelengths and therefore results in a systematically higher reflectance at longer infrared wavelengths for all view angles. Furthermore, Robinson & Friedman (2005) observed that the dielectric constant of materials composed of spherical particles can be affected by the geometry of the sphere packing arrangements. ...
... Notably, the sediment bars selected on the Bonamico River, featuring a D 50 of 35 mm, have a lower spectral signature over the whole spectrum, in comparison to the other sites (sites B1 and B2, Figure 5a). This result is explained by accounting for the different factors that influence the spectral response of the soils (Swain & Davis, 1978 (Black et al., 2014;Carson et al., 2015;Pilorget et al., 2016) and later confirmed by our results (Table 4). The fact that, by mixing the dataset collected in the different sites and thus mixing different lithology and environmental conditions, particle sizes are distinguishable confirms that besides many parameters that influence reflectance response, surface roughness of unvegetated, homogeneous, exposed and dry sediment river bars affects Sentinel-2 data enough to discriminate different sediment classes. ...
... The spectral signature analysis results were encouraging and con- Black et al. (2014), Carson et al. (2015) and Pilorget et al. (2016), as well as the preliminary analysis made on the spectral signatures. Moreover, the negative coefficients appearing in singleband models confirm that the physical effect of an inverse correlation between grain size and reflectance values of Sentinel-2 (Table 4) is likely the most influential physical process to be captured (again, over the other factors that influence the spectral response of soils, in uncontrolled field conditions). ...
Article
A comprehensive understanding of river dynamics requires the grain size distribution of bed sediments and its variation across different temporal and spatial scales. Several techniques are already available for grain size assessment based on field and remotely sensed data. However, the existing methods are only applicable on small spatial scales and on short time scales. Thus, the operational measurement of grain size distribution of riverbed sediments at the catchment scale remains an open problem. A solution could be the use of satellite images as the main imaging platform. However, this would entail retrieving information at sub‐pixel scales. In this study, we propose a new approach to retrieve sub‐pixel scale grain size class information from Copernicus Sentinel‐2 imagery building upon a new image‐based grain size mapping procedure. Three Italian gravel‐bed rivers featuring different morphologies were selected for unmanned aerial vehicle (UAV) acquisitions, field surveys and laboratory analysis meant to serve as ground truth grain size data, ranging from medium sand to coarse gravel. Grain size maps on the river bars were generated in each study site by exploiting image texture measurements, upscaled and co‐registered with Sentinel‐2 data resolution. Relationships between the grain sizes measured and the reflectance values in Sentinel‐2 imagery were analysed using a machine learning framework. Results show statistically significant predictive models (MAE of ±8.34 mm and R ² = 0.92). The trained model was applied on 300 km of the Po River in Italy and allowed us to identify the gravel–sand transition occurring along this river length. Therefore, the approach presented here—based on freely available satellite data calibrated by low‐cost drone‐derived imagery—represents a promising step towards an automated surface mean grain size mapping over long river length, easily repeated through time for monitoring purposes.
... Reflectance spectroscopy in the optical range (i.e., 350-2500 nm) has been widely applied as an efficient tool for quantifying soil constituents including minerals (Clark et al., 1990;Kruse et al., 2003;Mulder et al., 2013;Omran, 2017), organic matter (Ingleby and Crowe, 1999;Daniel et al., 2004;He et al., 2009;Leue et al., 2017), and water (Lobell and Asner, 2002;Whiting et al., 2004;Sadeghi et al., 2015;Zeng et al., 2016). Soil reflectance spectra are also affected by particle size (Bowers and Hanks, 1965;Hunt and Vincent, 1968;Bänninger et al., 2006), bulk density (Dematte et al., 2010;Bachmann et al., 2014;Carson et al., 2015;Tian and Philpot, 2017), and surface roughness (Cierniewski, 1987;Cierniewski et al., 2004;Wu et al., 2009;Piekarczyk et al., 2016). ...
Article
Experimental evidence points to an intimate link between soil reflectance, R, and particle/aggregate diameter, D. Based on this strong correlation, various statistical methods for remote and proximal sensing of soil texture and hydraulic properties have been developed. In this paper, we derive a more fundamental and physically-based analytical radiative transfer model that yields a closed-form functional R(D) relationship for dry soils. Despite several simplifying assumptions, the proposed model shows good agreement with measured spectral reflectance (350–2500 nm) data of six soils covering a broad range of textures, colors, and mineralogies. The proposed S-shaped R(D) function resembles cumulative particle and pore size distributions as well as the soil water characteristic function. These analogies may potentially lead to new avenues for developing novel physical models for extracting important soil properties from remotely sensed reflectance data.
... We therefore tested the performance of the rectangular temperature modulation-SDP for evaluating the influence of soil type and nutrient addition on their responses. Soils, a complex mixture, are composed mostly of minerals and organic materials, water, air, and countless organisms [13,14]. Many gases, mostly volatile organic compounds, are found at soil atmosphere due to microbial activity in which the type and the concentrations of VOCs produced may differ because of differences in community composition or nutrient availability [15][16][17]. ...
Article
Full-text available
A technique of temperature modulation-SDP (specified detection point) on MOS gas sensors was designed and tested on their sensing performance to such complex mixture, soil gaseous compound. And a self-made e-nose was built to capture and analyze the gaseous profile from sampling headspace of two soils (sandy loam and sand) with the addition of nutrient at different dose (without, normal, and high addition). It comprises (a) 6 MOS gas sensors which were driven wirelessly on a certain modulation through (b) a PSoC CY8C28445-24PVXI-based interface and (c) the Principal Component Analysis (PCA) and neural network (NN) as pattern recognition tools. The gaseous compounds are accumulated in a static headspace with thermostatting and stirring under controlled condition to optimize equilibration and gases concentration as well. The patterns are trained by backpropagation algorithm which employs a log-sigmoid function and updates the weights using search-then-converge schedule. PCA results indicate that the sensor array used is able to differentiate the soil type clearly and may provide a discrimination as a response to presence/level of the nutrients addition in soil. Additionally, the PCA enhances the classification performance of NN to discriminate among the predescribed nutrient additions.
Preprint
Full-text available
A comprehensive understanding of river dynamics requires quantitative knowledge of the grain size distribution of bed sediments and its variation across different temporal and spatial scales. Several techniques are already available for grain size assessment based on field and remotely sensed data. However, the existing methods are only applicable on small spatial scales and on short time scales. Thus, the operational measurement of grain size distribution of river bed sediments at the catchment scale remains an open problem. A solution could be the use of satellite images as the main imaging platform. However, this would entail retrieving information at sub-pixel scales. In this study, we propose a new approach to retrieve sub-pixel scale grain size class information from Copernicus Sentinel-2 imagery building upon a new image-based grain size mapping procedure. Three Italian gravel-bed rivers featuring different morphologies were selected for Unmanned Aerial Vehicle (UAV) acquisitions coupled to field surveys and lab analysis meant to serve as ground truth grain size data. Grain size maps on river bars were generated in each study site by exploiting image texture measurements, upscaled and co-registered with Sentinel-2 data resolution. Relationships between the grain sizes measured and the reflectance values in Sentinel-2 imagery were analyzed by using a machine learning framework. Results show statistically significant predictive models (MAE of ±8.34 mm and R2=0.92). The trained model was applied on 300 km of the Po river in Italy and allows to detect grain size longitudinal variation and to identify the gravel-sand transition occurring along this river length.Our proposed approach based on freely available satellite data calibrated by low-cost automated drone technology can provide reasonably accurate estimates of surface grain size classes, in the range of sand to gravel, for bar sediments in medium to large river channels, over lengths of hundreds of kilometers.
Article
It is the intent of this paper to demonstrate the veracity of a method to estimate the total solid contaminant mass present on a sparsely coated surface encompassing a pixel from longwave infrared spectra. Sparsely coated surfaces create complex radiometry due to the interactions of electromagnetic energy between intimate materials. Current algorithms can be used on intimate mixtures to identify the abundances of materials in a pixel, but they cannot provide additional property information. Radiative transfer models can create mixture signatures, but only with a set of well-characterized physical parameters that are typically not known or are difficult to retrieve. The approach described here creates a parameter inversion model from a radiative transfer model and uses empirically measured mixture data to retrieve physical characteristics of the contaminated surface and derive a total contaminant mass present. © 2017 Society of Photo-Optical Instrumentation Engineers (SPIE).
Conference Paper
Previous Bidirectional Reflectance Factor (BRF) modeling approaches are not sufficient to handle complex scenes, which are radiation-complicated and data-massive. Using iterative MapReduce framework, this paper presents a series of algorithms executable in multiple nodes. Firstly, a virtually scenario is established by 3ds-MAX, reconstructable geometry shadow maps method is then employed to count the visibility of patch sets. In addition, endmember variability is accounted for further enhancing simulation fidelity. Finally, an experimental validation is performed. Results by the proposed methods are more coherent with the observation data.