This paper develops a method to analyze and compute the lines of curvature and their differential geometry defined on implicit surfaces. With our technique, we can explicitly obtain the analytic formulae of the associated geometric attributes of an implicit surface, e.g. torsion of a line of curvature and Gaussian curvature. Additionally, it can be used to directly derive the closed formulae of...

faults/fractures detection is an essential step of the full field study in hydrocarbon reservoir. definition of exact location of these structural events is a critical step to optimize location of the development wells. despite of the fast development of the geo science technology and oil industry in recent years, detection of the small geological events such as faults and fractures in some of ...

Kontakt: [email protected], [email protected] Results We store the attributes of Q in that pixel and shade it afterwards using our Global Illumination framework. Our algorithm operates on local surface intervals of homogeneous curvature. We thus first create a Labeled Homogeneous Curvature Map, containing unique IDs for each homogeneously curved region per pixel. We assign each scene...

This paper proposes a new error metric: discrete curvature error metric to generate the LOD meshes. Discrete curvature is a new formalized curvature as simplification criterion. It can represent surface shape well and be computed with geometric attributes, not any smooth approximation. Our new error metric is based on the discrete curvature so that LOD can be generated precisely, and controlled...

One of the most important factors in soil-landscape analysis can be operational scale applied for mathematical calculations terrain attributes. This study aimed to investigate effects different calculation patterns on attributes and soil aggregate stability-landscape modeling at subwatershed scale. For this purpose, four (slope gradient, slope aspect, plan curvature, profile curvature) were cal...

This research conducted to evaluate spatial pattern of some biological variables (mean diameter, density, richness index and biodiversity index) of forest by linear regression models using terrain analysis in the Kheiroud-Kenar forest located at the Nowshahr, north of Iran. To obtain these parameters, sampling was performed on a systematic grid (250× 400 m) in 193 plots with one ha area. Densit...

in this paper, the time-like hyperruled surfaces in the minkowski 4-space and their algebraicinvariants are worked. also some characteristic results are found about these algebraic invariants.

Registration of range images requires the identification of common portions of surfaces between which a distance minimization is performed. This paper proposes a framework for the use of dense attributes of range image elements as a matching constraint in the registration. These attributes are chosen to be invariant to rigid transformations, so that their value is similar in different views of ...