Revision as of 16:38, 26 March 2021 edit Tom.Reding (talk \| contribs) Autopatrolled, Extended confirmed users, Page movers, Template editors 4,365,206 edits m +{{Authority control}} (2 IDs from Wikidata), WP:GenFixes on Tag: AWB ← Previous edit		Revision as of 05:29, 21 May 2021 edit undo 104.173.214.98 (talk) →Parallel curves of an implicit curve Next edit →
Line 53: For example: : ''Line'' <math>\; f(x,y)=x+y-1=0\; </math> → distance function: <math>\; h(x,y)=\frac{x+y-1}{\sqrt{2}}=d\; </math> (Hesse normalform) : ''Circle'' <math>\; f(x,y)=x^2+y^2-1=0\;</math> → ~~distancefunction~~distance function: <math>\; h(x,y)=\sqrt{x^2+y^2}-1=d\; .</math> In general, presuming certain conditions, one can prove the existence of an [[oriented distance function]] <math>h(x,y)</math>. In practice one has to treat it numerically.<ref>E. Hartmann: [http://www.mathematik.tu-darmstadt.de/~ehartmann/cdgen0104.pdf ''Geometry and Algorithms for COMPUTER AIDED DESIGN.''] S. 81, S. 30, 41, 44.</ref> Considering parallel curves the following is true:

Parallel curve: Difference between revisions