### 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 language | English |
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Pages (from-to) | 215-223 |

Number of pages | 9 |

Journal | CAD Computer Aided Design |

Volume | 35 |

Issue number | 3 |

DOIs | |

Publication status | Published - 2003 Mar 1 |

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### All Science Journal Classification (ASJC) codes

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

### Cite this

*CAD Computer Aided Design*,

*35*(3), 215-223. https://doi.org/10.1016/S0010-4485(01)00194-4

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*CAD Computer Aided Design*, vol. 35, no. 3, pp. 215-223. https://doi.org/10.1016/S0010-4485(01)00194-4

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

Research output: Contribution to journal › Article

TY - JOUR

T1 - Computing isophotos of surface of revolution and canal surface

AU - Kim, Ku Jin

AU - Lee, In Kwon

PY - 2003/3/1

Y1 - 2003/3/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0037332666&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037332666&partnerID=8YFLogxK

U2 - 10.1016/S0010-4485(01)00194-4

DO - 10.1016/S0010-4485(01)00194-4

M3 - Article

AN - SCOPUS:0037332666

VL - 35

SP - 215

EP - 223

JO - CAD Computer Aided Design

JF - CAD Computer Aided Design

SN - 0010-4485

IS - 3

ER -