Agnostic G 1 Gregory surfaces

Gerald Farin; Dianne Hansford

doi:10.1016/j.gmod.2012.05.004

Agnostic G ¹ Gregory surfaces

Gerald Farin, Dianne Hansford

Computing and Augmented Intelligence, School of (IAFSE-SCAI)

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

5 Scopus citations

Abstract

We discuss G ¹ smoothness conditions for rectangular and triangular Gregory patches. We then incorporate these G ¹ conditions into a surface fitting algorithm. Knowledge of the patch type is inconsequential to the formulation of the G ¹ conditions, hence the term agnostic G ¹ Gregory surfaces.

Original language	English (US)
Pages (from-to)	346-350
Number of pages	5
Journal	Graphical Models
Volume	74
Issue number	6
DOIs	https://doi.org/10.1016/j.gmod.2012.05.004
State	Published - Nov 2012

Keywords

G smoothness conditions
Gregory surfaces
Point-normal interpolation
Rectangular and triangular patches
Surface fitting
Tangent ribbon

ASJC Scopus subject areas

Software
Modeling and Simulation
Geometry and Topology
Computer Graphics and Computer-Aided Design

Access to Document

10.1016/j.gmod.2012.05.004

Cite this

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title = "Agnostic G 1 Gregory surfaces",

abstract = "We discuss G 1 smoothness conditions for rectangular and triangular Gregory patches. We then incorporate these G 1 conditions into a surface fitting algorithm. Knowledge of the patch type is inconsequential to the formulation of the G 1 conditions, hence the term agnostic G 1 Gregory surfaces.",

keywords = "G smoothness conditions, Gregory surfaces, Point-normal interpolation, Rectangular and triangular patches, Surface fitting, Tangent ribbon",

author = "Gerald Farin and Dianne Hansford",

year = "2012",

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AU - Hansford, Dianne

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KW - Point-normal interpolation

KW - Rectangular and triangular patches

KW - Surface fitting

KW - Tangent ribbon

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