Hybrid of Shape Grammar and Morphing for Procedural Modeling of 3D Caves

Procedural modeling of three‐dimensional shapes plays a significant role in many areas nowadays. Methods based on the automation of the modeling process offer a variety of three‐dimensional structures, saving time and money. Geometry synthesis is currently used in many fields including digital cinema, electronic entertainment and simulation. There is a need to replace designers' work with intelligent automated algorithms, especially in the case of terrain modeling. This article addresses the problem of modeling virtual caves and tunnels and presents alternative solutions in the form of a hybrid system. The innovative approach combines two independent methods well known in computer graphics: shape grammars and shape morphing for modeling three‐dimensional geometry. In the modeling process, it is possible to obtain the characteristics of 3D structures with non‐spherical mesh topology. The objects and their transformations are described by functions, while production grammars define the geometry modeling process. The scene graph can be expanded by classic productions and optimized by morphing productions. Obtained shapes can be freely deformed in subsequent productions. The system offers control over the process of modeling and the resulting structure can be rendered up to a high level of realism. We also propose some measures that can be used to verify the modeling results: coefficients indicating the degree of convexity of three‐dimensional model topology based on the structure of inequality, the volume of the model, surface model and the number of model elements.     

The impact of H i in galaxies on 21-cm intensity fluctuations during the reionization epoch

We investigate the impact of neutral hydrogen (H  i ) in galaxies on the statistics of 21-cm fluctuations using seminumerical modelling. Following the reionization of hydrogen, the H  i content of the Universe is dominated by damped absorption systems (DLAs), with a cosmic density in H  i that is observed to be constant at a level equal to ∼2 per cent of the cosmic baryon density from   z ∼ 1  to   z ∼ 5  . We show that extrapolation of this constant fraction into the reionization epoch results in a reduction in the amplitude of 21-cm fluctuations over a range of spatial scales. We further find that consideration of H  i in galaxies/DLAs reduces the prominence of the H  ii region induced shoulder in the 21-cm power spectrum (PS), and hence modifies the scale dependence of 21-cm fluctuations. We also estimate the 21-cm–galaxy cross PS and show that the cross PS changes sign on scales corresponding to the H  ii regions. From consideration of the sensitivity for forthcoming low-frequency arrays, we find that the effects of H  i in galaxies/DLAs on the statistics of 21-cm fluctuations will be significant with respect to the precision of a PS or cross PS measurement. In addition, since overdense regions are reionized first we demonstrate that the cross-correlation between galaxies and 21-cm emission changes sign at the end of the reionization era, providing an alternative avenue to pinpoint the end of reionization. The sum of our analysis indicates that the H  i content of the galaxies that reionize the universe will need to be considered in detailed modelling of the 21-cm intensity PS in order to correctly interpret measurements from forthcoming low-frequency arrays.     

Theoretical study on multi‐level source design

This paper studies aspects that influence the de‐ghosting performance of marine multi‐level sources based on a modified Johnson model. The normalized squared error between actual signature and its corresponding ghost‐free signature is introduced to evaluate the multi‐level source design. The results show that optimum depth combinations and volume combinations exist in the design. However, there is also some flexibility in the volume combination which makes it possible to optimize with respect to residual bubble oscillation. By considering both operational aspects and performance, we propose that three or four levels in a multi‐level source are reasonable. Compared to a horizontal source, a multi‐level source can be designed to reduce the notch effect, strengthen the down‐going energy and improve the energy transmission directivity. Studies of the influence of depth and firing time deviations indicate that a multi‐level source is more stable than a normal horizontal source in an operational environment.