Implicit reconstruction of solids from cloud point sets

Chek T. Lim; George M. Turkiyyah; Mark A. Ganter; Duane W. Storti

doi:10.1145/218013.218090

Implicit reconstruction of solids from cloud point sets

Chek T. Lim^*, George M. Turkiyyah, Mark A. Ganter, Duane W. Storti

^*Corresponding author for this work

Research output: Contribution to conference › Paper › peer-review

44 Scopus citations

Abstract

A technique which combines numerical optimization methods with triangulation methods for generating mathematical representations of solids from three dimensional data is described. The solid representation obtained takes the form of an algebraic function whose level surface closely approximates the surface described by the data. The algebraic function is obtained via Implicit Solid Modeling, a constructive scheme for approximating Boolean volume set operations on implicitly defined primitive volumes, and is comprised of a blended union of spherical primitives.

Original language	English (US)
Pages	393-402
Number of pages	10
DOIs	https://doi.org/10.1145/218013.218090
State	Published - 1995
Externally published	Yes
Event	Proceedings of the 3rd Symposium on Solid Modeling and Applications - Salt Lake City, UT, USA Duration: May 17 1995 → May 19 1995

Other

Other	Proceedings of the 3rd Symposium on Solid Modeling and Applications
City	Salt Lake City, UT, USA
Period	05/17/95 → 05/19/95

ASJC Scopus subject areas

General Engineering

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10.1145/218013.218090

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@conference{8f02c2dbc28e40a09a995c5872c40321,

title = "Implicit reconstruction of solids from cloud point sets",

abstract = "A technique which combines numerical optimization methods with triangulation methods for generating mathematical representations of solids from three dimensional data is described. The solid representation obtained takes the form of an algebraic function whose level surface closely approximates the surface described by the data. The algebraic function is obtained via Implicit Solid Modeling, a constructive scheme for approximating Boolean volume set operations on implicitly defined primitive volumes, and is comprised of a blended union of spherical primitives.",

author = "Lim, {Chek T.} and Turkiyyah, {George M.} and Ganter, {Mark A.} and Storti, {Duane W.}",

year = "1995",

doi = "10.1145/218013.218090",

language = "English (US)",

pages = "393--402",

note = "Proceedings of the 3rd Symposium on Solid Modeling and Applications ; Conference date: 17-05-1995 Through 19-05-1995",

}

TY - CONF

T1 - Implicit reconstruction of solids from cloud point sets

AU - Lim, Chek T.

AU - Turkiyyah, George M.

AU - Ganter, Mark A.

AU - Storti, Duane W.

PY - 1995

Y1 - 1995

N2 - A technique which combines numerical optimization methods with triangulation methods for generating mathematical representations of solids from three dimensional data is described. The solid representation obtained takes the form of an algebraic function whose level surface closely approximates the surface described by the data. The algebraic function is obtained via Implicit Solid Modeling, a constructive scheme for approximating Boolean volume set operations on implicitly defined primitive volumes, and is comprised of a blended union of spherical primitives.

AB - A technique which combines numerical optimization methods with triangulation methods for generating mathematical representations of solids from three dimensional data is described. The solid representation obtained takes the form of an algebraic function whose level surface closely approximates the surface described by the data. The algebraic function is obtained via Implicit Solid Modeling, a constructive scheme for approximating Boolean volume set operations on implicitly defined primitive volumes, and is comprised of a blended union of spherical primitives.

UR - http://www.scopus.com/inward/record.url?scp=0029202349&partnerID=8YFLogxK

U2 - 10.1145/218013.218090

DO - 10.1145/218013.218090

M3 - Paper

AN - SCOPUS:0029202349

SP - 393

EP - 402

T2 - Proceedings of the 3rd Symposium on Solid Modeling and Applications

Y2 - 17 May 1995 through 19 May 1995

ER -

Implicit reconstruction of solids from cloud point sets

Abstract

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ASJC Scopus subject areas

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