NDLI: A class of quasi-quartic trigonometric bézier curves and surfaces

Content Provider	IEEE Xplore Digital Library
Author	Lian Yang Juncheng Li Chun Xie
Copyright Year	2012
Description	Author affiliation: Department of Mathematics, Hunan Institute of Humanities, Science and Technology, Loudi, 417000, China (Lian Yang; Juncheng Li; Chun Xie)
Abstract	A new kind of quasi-quartic trigonometric polynomial base functions with a shape parameter λ over the space Ω=span {1, sint, cost, sint2t, cos2t} is presented, and the corresponding quasi-quartic trigonometric Bézier curves and surfaces are defined by the introduced base functions. The quasi-quartic trigonometric Bézier curves inherit most of properties similar to those of quartic Bézier curves, and can be adjusted easily by using the shape parameter λ. With the shape parameter chosen properly, the defined curves can express exactly any plane curves or space curves defined by parametric equation based on {1, sint, cost, sint2t, cos2t} and circular helix with high degree of accuracy without using rational form. The corresponding tensor product surfaces can also represent precisely some quadratic surfaces, such as sphere, paraboloid, cylindrical surfaces, and some complex surfaces. The relationship between quasi-quartic trigonometric Bézier curves and quartic Bézier curves is also discussed, the larger is parameter λ, and the more approach is the quasi-quartic trigonometric Bézier curve to the control polygon. Examples are given to illustrate that the curves and surfaces can be used as an efficient new model for geometric design in the fields of CAGD.
Starting Page	121
Ending Page	124
File Size	522107
Page Count	4
File Format	PDF
ISBN	9781467323635
e-ISBN	9781467323659
DOI	10.1109/EEESym.2012.6258603
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-06-24
Publisher Place	Malaysia
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Bézier curves and surfaces Shape parameter Trigonometric polynomial Quasi-quartic
Content Type	Text
Resource Type	Article

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Trigonometric extension of quartic Bézier curves

The Quartic Trigonometric Bézier Curve with Two Shape Parameters

Tension Quartic Trigonometric Bézier Curves Preserving Interpolation Curves Shape

Quartic Trigonometric Bézier Curve with a Shape Parameter

A Class of Cubic Trigonometric Automatic Interpolation Curves and Surfaces with Parameters

Geometric modeling and applications of generalized blended trigonometric Bézier curves with shape parameters

Connections between Quartic Bézier Curves with Shape Parameters and Cubic H- Bézier Curves

A class of quartic rational polynomial triangular patch

Notice of RetractionThe continuity of Cubic extension Bézier curves and surfaces

A class of quasi-quartic trigonometric bézier curves and surfaces

Similar Documents

Trigonometric extension of quartic Bézier curves

The Quartic Trigonometric Bézier Curve with Two Shape Parameters

Tension Quartic Trigonometric Bézier Curves Preserving Interpolation Curves Shape

Quartic Trigonometric Bézier Curve with a Shape Parameter

A Class of Cubic Trigonometric Automatic Interpolation Curves and Surfaces with Parameters

Geometric modeling and applications of generalized blended trigonometric Bézier curves with shape parameters

Connections between Quartic Bézier Curves with Shape Parameters and Cubic H- Bézier Curves

A class of quartic rational polynomial triangular patch

Notice of RetractionThe continuity of Cubic extension Bézier curves and surfaces

A class of quasi-quartic trigonometric bézier curves and surfaces