Computing isophotos of surface of revolution and canal surface

Ku Jin Kim, In Kwon Lee

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

Isophote of a surface consists of a loci of surface points whose normal vectors form a constant angle with a given fixed vector. It also serves as a silhouette curve when the constant angle is given as π/2. We present efficient and robust algorithms to compute isophotes of a surface of revolution and a canal surface. For the two kinds of surfaces, each point on the isophote is derived by a closed-form solution. To find each connected component in the isophote, we utilize the feature of surface normals. Both surfaces are decomposed into a set of circles, where the surface normal vectors at points on each circle construct a cone. The vectors which form a constant angle with given fixed vector construct another cone. We compute the parametric range of the connected component of the isophote by computing the parametric values of the surface which derive the tangential intersection of these two cones.

Original languageEnglish
Pages (from-to)215-223
Number of pages9
JournalCAD Computer Aided Design
Volume35
Issue number3
DOIs
Publication statusPublished - 2003 Mar 1

Fingerprint

Surface of revolution
Canals
Computing
Cone
Normal vector
Cones
Connected Components
Angle
Construct a circle
Normal Surface
Silhouette
Robust Algorithm
Closed-form Solution
Locus
Circle
Efficient Algorithms
Intersection
Curve
Range of data

All Science Journal Classification (ASJC) codes

  • Computer Science Applications
  • Computer Graphics and Computer-Aided Design
  • Industrial and Manufacturing Engineering

Cite this

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Computing isophotos of surface of revolution and canal surface. / Kim, Ku Jin; Lee, In Kwon.

In: CAD Computer Aided Design, Vol. 35, No. 3, 01.03.2003, p. 215-223.

Research output: Contribution to journalArticle

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