G1 continuity triangular patches interpolation based on PN triangles

Zhihong Mao; Lizhuang Ma; Mingxi Zhao

doi:10.1007/11428862_121

G¹ continuity triangular patches interpolation based on PN triangles

Zhihong Mao, Lizhuang Ma, Mingxi Zhao

Shanghai Jiao Tong University

Research output: Contribution to journal › Conference article › peer-review

2 Scopus citations

Abstract

There are currently many methods for triangular local interpolation: Given triangular meshes P in three dimension space, the given flat triangles are based only on the three vertices and three normal vectors, or PN triangles, construct a smooth surface that interpolates the vertices of P. In this paper a completely local interpolation scheme is presented to guarantee to join patches G¹ continuously around boundary curves of each PN triangle.

Original language	English
Pages (from-to)	846-849
Number of pages	4
Journal	Lecture Notes in Computer Science
Volume	3516
Issue number	III
DOIs	https://doi.org/10.1007/11428862_121
State	Published - 2005
Externally published	Yes
Event	5th International Conference on Computational Science - ICCS 2005 - Atlanta, GA, United States Duration: 22 May 2005 → 25 May 2005

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10.1007/11428862_121

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@article{cfe84eb2aaef423ab3dbee34b35a0002,

title = "G1 continuity triangular patches interpolation based on PN triangles",

abstract = "There are currently many methods for triangular local interpolation: Given triangular meshes P in three dimension space, the given flat triangles are based only on the three vertices and three normal vectors, or PN triangles, construct a smooth surface that interpolates the vertices of P. In this paper a completely local interpolation scheme is presented to guarantee to join patches G1 continuously around boundary curves of each PN triangle.",

author = "Zhihong Mao and Lizhuang Ma and Mingxi Zhao",

year = "2005",

doi = "10.1007/11428862\_121",

language = "英语",

volume = "3516",

pages = "846--849",

journal = "Lecture Notes in Computer Science",

issn = "0302-9743",

publisher = "Springer Science and Business Media Deutschland GmbH",

number = "III",

note = "5th International Conference on Computational Science - ICCS 2005 ; Conference date: 22-05-2005 Through 25-05-2005",

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TY - JOUR

T1 - G1 continuity triangular patches interpolation based on PN triangles

AU - Mao, Zhihong

AU - Ma, Lizhuang

AU - Zhao, Mingxi

PY - 2005

Y1 - 2005

N2 - There are currently many methods for triangular local interpolation: Given triangular meshes P in three dimension space, the given flat triangles are based only on the three vertices and three normal vectors, or PN triangles, construct a smooth surface that interpolates the vertices of P. In this paper a completely local interpolation scheme is presented to guarantee to join patches G1 continuously around boundary curves of each PN triangle.

AB - There are currently many methods for triangular local interpolation: Given triangular meshes P in three dimension space, the given flat triangles are based only on the three vertices and three normal vectors, or PN triangles, construct a smooth surface that interpolates the vertices of P. In this paper a completely local interpolation scheme is presented to guarantee to join patches G1 continuously around boundary curves of each PN triangle.

UR - https://www.scopus.com/pages/publications/25144515902

U2 - 10.1007/11428862_121

DO - 10.1007/11428862_121

M3 - 会议文章

AN - SCOPUS:25144515902

SN - 0302-9743

VL - 3516

SP - 846

EP - 849

JO - Lecture Notes in Computer Science

JF - Lecture Notes in Computer Science

IS - III

T2 - 5th International Conference on Computational Science - ICCS 2005

Y2 - 22 May 2005 through 25 May 2005

ER -

G¹ continuity triangular patches interpolation based on PN triangles

Abstract

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