TY - GEN

T1 - Gaussian approximations of objects bounded by algebraic curves

AU - Kim, Myung Soo

AU - Lee, In Kwon

N1 - Copyright:
Copyright 2004 Elsevier B.V., All rights reserved.

PY - 1990

Y1 - 1990

N2 - How to compute and represent the Gaussian approximations of planar curved objects is described. Also considered are various applications of the Gaussian approximation to various primitive geometric operations on monotone curve segments. The exact solutions for these problems can be computed by solving simultaneous polynomial equations; however, this requires an intensive computation time. Efficient heuristic approximation algorithms using simple binary subdivisions on the original geometric components are suggested. It is shown that simple data structures such as arrays and circular lists can be used to represent the Gaussian approximations of planar curved objects.

AB - How to compute and represent the Gaussian approximations of planar curved objects is described. Also considered are various applications of the Gaussian approximation to various primitive geometric operations on monotone curve segments. The exact solutions for these problems can be computed by solving simultaneous polynomial equations; however, this requires an intensive computation time. Efficient heuristic approximation algorithms using simple binary subdivisions on the original geometric components are suggested. It is shown that simple data structures such as arrays and circular lists can be used to represent the Gaussian approximations of planar curved objects.

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M3 - Conference contribution

AN - SCOPUS:0025595027

SN - 0818620617

T3 - Proc 90 IEEE Int Conf Rob Autom

SP - 317

EP - 322

BT - Proc 90 IEEE Int Conf Rob Autom

PB - Publ by IEEE

T2 - Proceedings of the 1990 IEEE International Conference on Robotics and Automation

Y2 - 13 May 1990 through 18 May 1990

ER -