Matches in SemOpenAlex for { <https://semopenalex.org/work/W84867918> ?p ?o ?g. }
Showing items 1 to 63 of
63
with 100 items per page.
- W84867918 endingPage "205" @default.
- W84867918 startingPage "199" @default.
- W84867918 abstract "This chapter presents a method for calculating the length of Bézier curves. It is an often-used fact that the control polygon of a Bézier curve approximates the curve and that repeated subdivision produces a sequence of control polygons that converge to the curve. The length of these control polygons converges to the arc length of the Bézier curve, and with the use of a certain convex combination of the length of the control polygon and the length of the chord between the endpoints of the segments, the convergence becomes much faster. This chapter derives and implements an adaptive method for the calculation of the arc length based on this result. The algorithm for this method is presented. Empirical study of the algorithms on a number of sample curves suggests that: (1) a precision of 0.1% can be obtained by subdividing the curve into four to twelve segments and that (2) cubic curves need only be divided into approximately four segments to obtain this accuracy." @default.
- W84867918 created "2016-06-24" @default.
- W84867918 creator A5043261993 @default.
- W84867918 date "1995-01-01" @default.
- W84867918 modified "2023-09-23" @default.
- W84867918 title "The Length of Bézier Curves" @default.
- W84867918 cites W2017404774 @default.
- W84867918 cites W2142264896 @default.
- W84867918 doi "https://doi.org/10.1016/b978-0-12-543457-7.50035-8" @default.
- W84867918 hasPublicationYear "1995" @default.
- W84867918 type Work @default.
- W84867918 sameAs 84867918 @default.
- W84867918 citedByCount "11" @default.
- W84867918 countsByYear W848679182020 @default.
- W84867918 crossrefType "book-chapter" @default.
- W84867918 hasAuthorship W84867918A5043261993 @default.
- W84867918 hasConcept C112680207 @default.
- W84867918 hasConcept C11413529 @default.
- W84867918 hasConcept C126042441 @default.
- W84867918 hasConcept C143392562 @default.
- W84867918 hasConcept C166957645 @default.
- W84867918 hasConcept C190694206 @default.
- W84867918 hasConcept C206423108 @default.
- W84867918 hasConcept C22251595 @default.
- W84867918 hasConcept C2524010 @default.
- W84867918 hasConcept C33923547 @default.
- W84867918 hasConcept C41008148 @default.
- W84867918 hasConcept C76155785 @default.
- W84867918 hasConcept C83415579 @default.
- W84867918 hasConcept C95457728 @default.
- W84867918 hasConceptScore W84867918C112680207 @default.
- W84867918 hasConceptScore W84867918C11413529 @default.
- W84867918 hasConceptScore W84867918C126042441 @default.
- W84867918 hasConceptScore W84867918C143392562 @default.
- W84867918 hasConceptScore W84867918C166957645 @default.
- W84867918 hasConceptScore W84867918C190694206 @default.
- W84867918 hasConceptScore W84867918C206423108 @default.
- W84867918 hasConceptScore W84867918C22251595 @default.
- W84867918 hasConceptScore W84867918C2524010 @default.
- W84867918 hasConceptScore W84867918C33923547 @default.
- W84867918 hasConceptScore W84867918C41008148 @default.
- W84867918 hasConceptScore W84867918C76155785 @default.
- W84867918 hasConceptScore W84867918C83415579 @default.
- W84867918 hasConceptScore W84867918C95457728 @default.
- W84867918 hasLocation W848679181 @default.
- W84867918 hasOpenAccess W84867918 @default.
- W84867918 hasPrimaryLocation W848679181 @default.
- W84867918 hasRelatedWork W1603886559 @default.
- W84867918 hasRelatedWork W1963910037 @default.
- W84867918 hasRelatedWork W2010092766 @default.
- W84867918 hasRelatedWork W2109782784 @default.
- W84867918 hasRelatedWork W2161853561 @default.
- W84867918 hasRelatedWork W2357962293 @default.
- W84867918 hasRelatedWork W2369766226 @default.
- W84867918 hasRelatedWork W2541768010 @default.
- W84867918 hasRelatedWork W2891925904 @default.
- W84867918 hasRelatedWork W2949327184 @default.
- W84867918 isParatext "false" @default.
- W84867918 isRetracted "false" @default.
- W84867918 magId "84867918" @default.
- W84867918 workType "book-chapter" @default.