Class Notes (839,081)
Canada (511,183)
CSC418H1 (2)
Lecture

Curves

6 Pages
99 Views

Department
Computer Science
Course Code
CSC418H1
Professor
Luke Moore

This preview shows pages 1 and half of page 2. Sign up to view the full 6 pages of the document.
Description
CSC418CSCD18CSC2504Curves2Curves21ParametricCurvesTherearemultiplewaystorepresentcurvesintwodimensionsExplicityfxgivenxndyExampleTheexplicitformofalineisymxbThereisaproblemwiththisrepresentationwhataboutverticallinesImplicitfxy0orinvectorformfp0ExampleTheimplicitequationofalinethroughpandpis01xxyyyyxx0010010IntuitionThedirectionofthelineisthevectordpp10Soavectorfromptoanypointonthelinemustbeparalleltod0Equivalentlyanypointonthelinemusthavedirectionfrompperpendic0ulartodddnyxThiscanbecheckedwithdddddd0xyyxThevectornyyxxiscalledanormalvector1001Soputtingitalltogetherforanypointponthelineweknowthatpp0n0Thisisthegeneralformforalinethroughpthatisperpendicular0normaltonIfyouthensubstitutenyyxxintothisimplicit1001equationandsimplifythedotproductyougettheimplicitequationaboveExampleTheimplicitequationforacircleofradiusrandcenterpxyisccc222xxyyrccorinvectorform22pprccCopyright2005DavidFleetandAaronHertzmann4
More Less
Unlock Document

Only pages 1 and half of page 2 are available for preview. Some parts have been intentionally blurred.

Unlock Document
You're Reading a Preview

Unlock to view full version

Unlock Document

Log In


OR

Join OneClass

Access over 10 million pages of study
documents for 1.3 million courses.

Sign up

Join to view


OR

By registering, I agree to the Terms and Privacy Policies
Already have an account?
Just a few more details

So we can recommend you notes for your school.

Reset Password

Please enter below the email address you registered with and we will send you a link to reset your password.

Add your courses

Get notes from the top students in your class.


Submit