The reflectance factors of transparent fibers, free delustering agent, are predicted by geometric as well as Kubelka-Munk models. Transparent fibers are simulated by a net of glass capillary tubes containing different solutions of dyestuffs. Based on the results, prediction of the reflectance factor of capillary net by geometric model is relatively better than those obtained from Kubelka-Munk...

We present a strictly three-dimensional modeling technique as a basis for numerical simulations. These simulations range from a high-resolution indoor air flow modeling using the so-called thermal lattice Boltzmann method to a multi-zone network model for building energy simulation. Within this paper, an intermediate geometric model is derived from the IFC building product model standard with r...

Geometric σ-models have been defined as purely geometric theories of scalar fields coupled to gravity. By construction, these theories possess arbitrarily chosen vacuum solutions. Using this fact, one can build a Kaluza–Klein geometric σ-model by specifying the vacuum metric of the form M 4 × B d. The obtained higher dimensional theory has vanishing cosmological constant but fails to give massl...

This paper presents a relational geometric model for variational geometry. A geometric object in a relational geometric model is represented based on its geometric relationship to other geometric objects and is unilaterally dependent on these objects. Through the unilateral dependency among the geometric objects local dimensional changes can be propagated to the whole model easily so that the c...

Introduction: Geometric distortion, an important parameter in neurology and oncology. The current study aimed to design and construct a new three-dimensional (3D) phantom using a 3D printer in order to measure geometric distortion and its 3D reproducibility. Material and Methods: In this study, a new phantom ...

This paper proposes a holographic blind watermarking algorithm of the three-dimensional mesh model based on QR decomposition. Firstly the three-dimensional model is pre-processed by moving the model center to the coordinate origin and doing PCA analysis. Secondly the model’s geometric feature matrix is constructed by using the distance from the three-dimensional mesh model vortex to the model c...

When Einstein was thinking about the theory of general relativity based on the elimination of especial relativity constraints (especially the geometric relationship of space and time), he understood the first limitation of especial relativity is ignoring changes over time. Because in especial relativity, only the curvature of the space was considered. Therefore, tensor calculations should be to...