Point set surfaces

M. Alexa; J. Behr; D. Cohen-Or; S. Fleishman; D. Levin; C. T. Silva

Point set surfaces

M. Alexa, J. Behr, D. Cohen-Or, S. Fleishman, D. Levin, C. T. Silva

Urban Initiative

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

We advocate the use of point sets to represent shapes. We provide a definition of a smooth manifold surface from a set of points close to the original surface. The definition is based on local maps from differential geometry, which are approximated by the method of moving least squares (MLS). We present tools to increase or decrease the density of the points, thus, allowing an adjustment of the spacing among the points to control the fidelity of the representation. To display the point set surface, we introduce a novel point rendering technique. The idea is to evaluate the local maps according to the image resolution. This results in high quality shading effects and smooth silhouettes at interactive frame rates.

Original language	English (US)
Title of host publication	Proceedings of the IEEE Visualization Conference
Editors	T. Ertl, K. Joy, A. Varshney
Pages	21-28
Number of pages	8
State	Published - 2001
Event	Visualization 2001 - San Diego, CA, United States Duration: Oct 21 2001 → Oct 26 2001

Other

Other	Visualization 2001
Country/Territory	United States
City	San Diego, CA
Period	10/21/01 → 10/26/01

Keywords

3D acquisition
Moving least squares
Point sample rendering
Surface representation and reconstruction

ASJC Scopus subject areas

Computer Science(all)
Engineering(all)

Cite this

@inproceedings{98032500684b45169d346184ee12fbf2,

title = "Point set surfaces",

abstract = "We advocate the use of point sets to represent shapes. We provide a definition of a smooth manifold surface from a set of points close to the original surface. The definition is based on local maps from differential geometry, which are approximated by the method of moving least squares (MLS). We present tools to increase or decrease the density of the points, thus, allowing an adjustment of the spacing among the points to control the fidelity of the representation. To display the point set surface, we introduce a novel point rendering technique. The idea is to evaluate the local maps according to the image resolution. This results in high quality shading effects and smooth silhouettes at interactive frame rates.",

keywords = "3D acquisition, Moving least squares, Point sample rendering, Surface representation and reconstruction",

author = "M. Alexa and J. Behr and D. Cohen-Or and S. Fleishman and D. Levin and Silva, {C. T.}",

year = "2001",

language = "English (US)",

pages = "21--28",

editor = "T. Ertl and K. Joy and A. Varshney",

booktitle = "Proceedings of the IEEE Visualization Conference",

note = "Visualization 2001 ; Conference date: 21-10-2001 Through 26-10-2001",

}

TY - GEN

T1 - Point set surfaces

AU - Alexa, M.

AU - Behr, J.

AU - Cohen-Or, D.

AU - Fleishman, S.

AU - Levin, D.

AU - Silva, C. T.

PY - 2001

Y1 - 2001

N2 - We advocate the use of point sets to represent shapes. We provide a definition of a smooth manifold surface from a set of points close to the original surface. The definition is based on local maps from differential geometry, which are approximated by the method of moving least squares (MLS). We present tools to increase or decrease the density of the points, thus, allowing an adjustment of the spacing among the points to control the fidelity of the representation. To display the point set surface, we introduce a novel point rendering technique. The idea is to evaluate the local maps according to the image resolution. This results in high quality shading effects and smooth silhouettes at interactive frame rates.

AB - We advocate the use of point sets to represent shapes. We provide a definition of a smooth manifold surface from a set of points close to the original surface. The definition is based on local maps from differential geometry, which are approximated by the method of moving least squares (MLS). We present tools to increase or decrease the density of the points, thus, allowing an adjustment of the spacing among the points to control the fidelity of the representation. To display the point set surface, we introduce a novel point rendering technique. The idea is to evaluate the local maps according to the image resolution. This results in high quality shading effects and smooth silhouettes at interactive frame rates.

KW - 3D acquisition

KW - Moving least squares

KW - Point sample rendering

KW - Surface representation and reconstruction

UR - http://www.scopus.com/inward/record.url?scp=0035175291&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0035175291&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0035175291

SP - 21

EP - 28

BT - Proceedings of the IEEE Visualization Conference

A2 - Ertl, T.

A2 - Joy, K.

A2 - Varshney, A.

T2 - Visualization 2001

Y2 - 21 October 2001 through 26 October 2001

ER -

Point set surfaces

Abstract

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Keywords

ASJC Scopus subject areas

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