Symbolic and Numeric Computation in Curve Interrogation
作者:
Gershon Elber,
期刊:
Computer Graphics Forum
(WILEY Available online 1995)
卷期:
Volume 14,
issue 1
页码: 25-34
ISSN:0167-7055
年代: 1995
DOI:10.1111/1467-8659.1410025
出版商: Blackwell Science Ltd
关键词: Convexity;Curvature;Inflection points;Arc‐length parameterization;Enclosed Area;Self‐intersection
数据来源: WILEY
摘要:
AbstractThe control of shape of curves is of great importance in computer aided geometric design. Determination of planar curves' convexity, the detection of infection points, coincident regions, and self intersection points, the enclosed area of a closed curve, and the locations of extreme curvature are importantfeatures of curves that can affect the design, in modelling environments.In this paper, we investigate the ability to robustly answer the above queries and related questions using an approach which exploits both symbolic computation and numeric analysis.
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