Matches in SemOpenAlex for { <https://semopenalex.org/work/W4313403804> ?p ?o ?g. }
Showing items 1 to 66 of
66
with 100 items per page.
- W4313403804 endingPage "181" @default.
- W4313403804 startingPage "173" @default.
- W4313403804 abstract "The paper considers the development of the method of variable discrete geometric modeling of curved lines with a monotonous change in curvature. The discretely represented curve (DRC) being modeled is represented by an ordered set of points that belong to them and the differential geometric characteristics of the curve. These characteristics must be ensured during the modeling process. The curve is formed by thickening, which involves determining the initial point series of intermediate points. At the same time, we believe that the starting points are set without error and do not change their position during the modeling process. The problem of the mutual location of the DRC and an arbitrary straight line has been solved: determining the point of intersection or contact of a curve with a straight line. The solution of the problems considered in the work involves determining the area of a possible solution based on the conditions imposed on the curve: the absence of oscillation, the given order of smoothness, the dynamics of changes in the tangent positions and the values of the radii of curvature along the curves, etc. In the process of modeling, the area of a possible solution is refined. The proposed algorithms can be used to form surfaces according to the given differential-geometric conditions on the basis of the framework, the linear elements of which are flat DRCs. Algorithms allow you to match the characteristics of the curves that define the mesh discrete frame of the surface. This makes it possible to ensure the intersection of curved lines belonging to different families of lines in the process of successive thickenings, and to control the dynamics of changes in positions tangent to the surface. Modeling the surface involves the thickening of the DRC, which are the elements of the surface frame, and the increase of these elements - the thickening of the linear frame. The elements of the model are the lines formed on the basis of the original nodes (output DRCs) and the lines formed on the basis of the original point series consisting of points of condensation of the original DRCs (condensation DRCs). The surface will be considered defined if all the DRCs that make up the frame of the surface are formed with an error that does not exceed the specified value. Key words: discretely represented curve, region of curve location, second order of smoothness, monotonicity of curvature change." @default.
- W4313403804 created "2023-01-06" @default.
- W4313403804 creator A5080833213 @default.
- W4313403804 creator A5087111753 @default.
- W4313403804 date "2022-12-17" @default.
- W4313403804 modified "2023-10-01" @default.
- W4313403804 title "SOLUTION OF POSITIONAL PROBLEMS AT MODELING OF MONOTONOUS CURVES" @default.
- W4313403804 doi "https://doi.org/10.33842/2313125x-2022-24-173-181" @default.
- W4313403804 hasPublicationYear "2022" @default.
- W4313403804 type Work @default.
- W4313403804 citedByCount "0" @default.
- W4313403804 crossrefType "journal-article" @default.
- W4313403804 hasAuthorship W4313403804A5080833213 @default.
- W4313403804 hasAuthorship W4313403804A5087111753 @default.
- W4313403804 hasBestOaLocation W43134038041 @default.
- W4313403804 hasConcept C10138342 @default.
- W4313403804 hasConcept C102634674 @default.
- W4313403804 hasConcept C11413529 @default.
- W4313403804 hasConcept C127413603 @default.
- W4313403804 hasConcept C134306372 @default.
- W4313403804 hasConcept C138187205 @default.
- W4313403804 hasConcept C146978453 @default.
- W4313403804 hasConcept C162324750 @default.
- W4313403804 hasConcept C195065555 @default.
- W4313403804 hasConcept C198082294 @default.
- W4313403804 hasConcept C198352243 @default.
- W4313403804 hasConcept C2524010 @default.
- W4313403804 hasConcept C2776799497 @default.
- W4313403804 hasConcept C28719098 @default.
- W4313403804 hasConcept C33923547 @default.
- W4313403804 hasConcept C64543145 @default.
- W4313403804 hasConceptScore W4313403804C10138342 @default.
- W4313403804 hasConceptScore W4313403804C102634674 @default.
- W4313403804 hasConceptScore W4313403804C11413529 @default.
- W4313403804 hasConceptScore W4313403804C127413603 @default.
- W4313403804 hasConceptScore W4313403804C134306372 @default.
- W4313403804 hasConceptScore W4313403804C138187205 @default.
- W4313403804 hasConceptScore W4313403804C146978453 @default.
- W4313403804 hasConceptScore W4313403804C162324750 @default.
- W4313403804 hasConceptScore W4313403804C195065555 @default.
- W4313403804 hasConceptScore W4313403804C198082294 @default.
- W4313403804 hasConceptScore W4313403804C198352243 @default.
- W4313403804 hasConceptScore W4313403804C2524010 @default.
- W4313403804 hasConceptScore W4313403804C2776799497 @default.
- W4313403804 hasConceptScore W4313403804C28719098 @default.
- W4313403804 hasConceptScore W4313403804C33923547 @default.
- W4313403804 hasConceptScore W4313403804C64543145 @default.
- W4313403804 hasLocation W43134038041 @default.
- W4313403804 hasOpenAccess W4313403804 @default.
- W4313403804 hasPrimaryLocation W43134038041 @default.
- W4313403804 hasRelatedWork W1586734903 @default.
- W4313403804 hasRelatedWork W1997241157 @default.
- W4313403804 hasRelatedWork W2140952994 @default.
- W4313403804 hasRelatedWork W2142564459 @default.
- W4313403804 hasRelatedWork W2371953206 @default.
- W4313403804 hasRelatedWork W2382500641 @default.
- W4313403804 hasRelatedWork W2388648383 @default.
- W4313403804 hasRelatedWork W2807417504 @default.
- W4313403804 hasRelatedWork W4225143937 @default.
- W4313403804 hasRelatedWork W4256014305 @default.
- W4313403804 hasVolume "24" @default.
- W4313403804 isParatext "false" @default.
- W4313403804 isRetracted "false" @default.
- W4313403804 workType "article" @default.