This paper describes displacement mapping technique that is used in 3D graphics to add detail on the object’s surface. There are various approaches for implementing it that suit different usages. Most common approaches are explained and shortcomings for each are listed. An adaptive view dependant tessellation algorithm is looked at more closely and some hardware related issues are also discusse...

The Lambek calculus L provides a foundation for categorial grammar in the form of a logic of concatenation. But natural language is characterized by dependencies which may also be dis-continuous. In this paper we introduce the displacement calculus D, a generalization of Lambek calculus, which preserves the good proof-theoretic properties of the latter while embracing dis-continuiity and subsum...

A large number of engineering case studies have shown that the traditional early warning criteria, which evolved on basis displacement as a single piece information, many limitations in practical engineering. The speed ratio (DSR) cannot determine development trend landslides due to influence periodic external environmental factors. Moreover, when occur, system will false alarm stepwise giant r...

In this study, stress and displacement functions of the three-dimensional theory of elasticity for homogeneous isotropic bodies are derived from first principles from the differential equations of equilibrium, the generalized stress – strain laws and the geometric relations of strain and displacement. It is found that the stress and displacement functions must be biharmonic functions. The deriv...

In this paper, the closed form analytical expressions for the displacement field due to a cylindrical inclusion in a thermoelastic half-space are obtained. These expressions are derived in the context of steady-state uncoupled thermoelasticity using thermoelastic displacement potential functions. The thermal displacement field is generated due to differences in the coefficients of linear therma...