Parametric blending of triangular meshes

Min Chul Shin; Hae Do Hwang; Seung Hyun Yoon; Jieun Lee

doi:10.3390/sym10110620

Parametric blending of triangular meshes

Min Chul Shin, Hae Do Hwang, Seung Hyun Yoon, Jieun Lee

Department of Computer Science and Artificial Intelligence

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We present a new method for constructing a parametric blending surface that smoothly connects two triangular meshes. A user selects a subregion on each triangular mesh. The local parameterizations of two selected regions are found by using geodesic polar coordinates, and a base surface on each triangular mesh is constructed by two boundary curves on parametric domain. Finally, two base surfaces are smoothly blended for generating a blending surface. The shape of a blending surface can easily be controlled by several shape parameters or by directly manipulating surface point. We demonstrate the effectiveness of our technique by showing several modeling examples.

Original language	English
Article number	620
Journal	Symmetry
Volume	10
Issue number	11
DOIs	https://doi.org/10.3390/sym10110620
State	Published - 9 Nov 2018

Keywords

Blending surfaces
Geodesic polar coordinates
Linear blending

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10.3390/sym10110620

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title = "Parametric blending of triangular meshes",

abstract = "We present a new method for constructing a parametric blending surface that smoothly connects two triangular meshes. A user selects a subregion on each triangular mesh. The local parameterizations of two selected regions are found by using geodesic polar coordinates, and a base surface on each triangular mesh is constructed by two boundary curves on parametric domain. Finally, two base surfaces are smoothly blended for generating a blending surface. The shape of a blending surface can easily be controlled by several shape parameters or by directly manipulating surface point. We demonstrate the effectiveness of our technique by showing several modeling examples.",

keywords = "Blending surfaces, Geodesic polar coordinates, Linear blending",

author = "Shin, {Min Chul} and Hwang, {Hae Do} and Yoon, {Seung Hyun} and Jieun Lee",

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AU - Shin, Min Chul

AU - Hwang, Hae Do

AU - Yoon, Seung Hyun

AU - Lee, Jieun

PY - 2018/11/9

Y1 - 2018/11/9

N2 - We present a new method for constructing a parametric blending surface that smoothly connects two triangular meshes. A user selects a subregion on each triangular mesh. The local parameterizations of two selected regions are found by using geodesic polar coordinates, and a base surface on each triangular mesh is constructed by two boundary curves on parametric domain. Finally, two base surfaces are smoothly blended for generating a blending surface. The shape of a blending surface can easily be controlled by several shape parameters or by directly manipulating surface point. We demonstrate the effectiveness of our technique by showing several modeling examples.

AB - We present a new method for constructing a parametric blending surface that smoothly connects two triangular meshes. A user selects a subregion on each triangular mesh. The local parameterizations of two selected regions are found by using geodesic polar coordinates, and a base surface on each triangular mesh is constructed by two boundary curves on parametric domain. Finally, two base surfaces are smoothly blended for generating a blending surface. The shape of a blending surface can easily be controlled by several shape parameters or by directly manipulating surface point. We demonstrate the effectiveness of our technique by showing several modeling examples.

KW - Blending surfaces

KW - Geodesic polar coordinates

KW - Linear blending

UR - http://www.scopus.com/inward/record.url?scp=85057841531&partnerID=8YFLogxK

U2 - 10.3390/sym10110620

DO - 10.3390/sym10110620

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SN - 2073-8994

VL - 10

JO - Symmetry

JF - Symmetry

IS - 11

M1 - 620

ER -

Parametric blending of triangular meshes

Abstract

Keywords

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