A simple manifold-based construction of surfaces of arbitrary smoothness

Lexing Ying; Denis Zorin

doi:10.1145/1015706.1015714

A simple manifold-based construction of surfaces of arbitrary smoothness

Lexing Ying, Denis Zorin

Computer Science

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

Abstract

We present a smooth surface construction based on the manifold approach of Grimm and Hughes. We demonstrate how this approach can relatively easily produce a number of desirable properties which are hard to achieve simultaneously with polynomial patches, subdivision or variational surfaces. Our surfaces are C ^∞-continuous with explicit nonsingular C ^∞rameterizations, high-order flexible at control vertices, depend linearly on control points, have fixed-size local support for basis functions, and have good visual quality.

Original language	English (US)
Title of host publication	ACM Transactions on Graphics
Pages	271-275
Number of pages	5
Volume	23
Edition	3
DOIs	https://doi.org/10.1145/1015706.1015714
State	Published - 2004
Event	ACM Transactions on Graphics - Proceedings of ACM SIGGRAPH 2004 - Duration: Aug 9 2004 → Aug 12 2004

Other

Other	ACM Transactions on Graphics - Proceedings of ACM SIGGRAPH 2004
Period	8/9/04 → 8/12/04

Keywords

Geometric modeling
Manifolds

ASJC Scopus subject areas

Computer Graphics and Computer-Aided Design
Software

Access to Document

10.1145/1015706.1015714

Cite this

@inproceedings{9dd8fe16855a432b926ff70fb8b1c5c2,

title = "A simple manifold-based construction of surfaces of arbitrary smoothness",

abstract = "We present a smooth surface construction based on the manifold approach of Grimm and Hughes. We demonstrate how this approach can relatively easily produce a number of desirable properties which are hard to achieve simultaneously with polynomial patches, subdivision or variational surfaces. Our surfaces are C ∞-continuous with explicit nonsingular C ∞rameterizations, high-order flexible at control vertices, depend linearly on control points, have fixed-size local support for basis functions, and have good visual quality.",

keywords = "Geometric modeling, Manifolds",

author = "Lexing Ying and Denis Zorin",

year = "2004",

doi = "10.1145/1015706.1015714",

language = "English (US)",

volume = "23",

pages = "271--275",

booktitle = "ACM Transactions on Graphics",

edition = "3",

note = "ACM Transactions on Graphics - Proceedings of ACM SIGGRAPH 2004 ; Conference date: 09-08-2004 Through 12-08-2004",

}

TY - GEN

T1 - A simple manifold-based construction of surfaces of arbitrary smoothness

AU - Ying, Lexing

AU - Zorin, Denis

PY - 2004

Y1 - 2004

N2 - We present a smooth surface construction based on the manifold approach of Grimm and Hughes. We demonstrate how this approach can relatively easily produce a number of desirable properties which are hard to achieve simultaneously with polynomial patches, subdivision or variational surfaces. Our surfaces are C ∞-continuous with explicit nonsingular C ∞rameterizations, high-order flexible at control vertices, depend linearly on control points, have fixed-size local support for basis functions, and have good visual quality.

AB - We present a smooth surface construction based on the manifold approach of Grimm and Hughes. We demonstrate how this approach can relatively easily produce a number of desirable properties which are hard to achieve simultaneously with polynomial patches, subdivision or variational surfaces. Our surfaces are C ∞-continuous with explicit nonsingular C ∞rameterizations, high-order flexible at control vertices, depend linearly on control points, have fixed-size local support for basis functions, and have good visual quality.

KW - Geometric modeling

KW - Manifolds

UR - http://www.scopus.com/inward/record.url?scp=12844249962&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=12844249962&partnerID=8YFLogxK

U2 - 10.1145/1015706.1015714

DO - 10.1145/1015706.1015714

M3 - Conference contribution

AN - SCOPUS:12844249962

VL - 23

SP - 271

EP - 275

BT - ACM Transactions on Graphics

T2 - ACM Transactions on Graphics - Proceedings of ACM SIGGRAPH 2004

Y2 - 9 August 2004 through 12 August 2004

ER -

A simple manifold-based construction of surfaces of arbitrary smoothness

Abstract

Other

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this