Visualizing functions on a surface

Helmut Pottmann; Hans Hagen; Andreas Divivier

doi:10.1002/vis.4340020205

Visualizing functions on a surface

Helmut Pottmann^*, Hans Hagen, Andreas Divivier

^*Corresponding author for this work

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

13 Scopus citations

Abstract

We describe techniques for the visualization of a scalar‐valued function defined over a surface. The main interest focuses on a 4D graph of such a function and projections of this graph into 3‐space. The paper also contains methods for testing the smoothness of interpolants over surfaces and a short tutorial on fundamental ideas of multidimensional descriptive geometry which can be helpful in several areas of scientific visualization.

Original language	English (US)
Pages (from-to)	52-58
Number of pages	7
Journal	The Journal of Visualization and Computer Animation
Volume	2
Issue number	2
DOIs	https://doi.org/10.1002/vis.4340020205
State	Published - 1991
Externally published	Yes

Keywords

Functions on surfaces
Isophotes
Multidimensional geometry
Scientific visualization

ASJC Scopus subject areas

Software
Computer Graphics and Computer-Aided Design

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10.1002/vis.4340020205

Cite this

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title = "Visualizing functions on a surface",

abstract = "We describe techniques for the visualization of a scalar‐valued function defined over a surface. The main interest focuses on a 4D graph of such a function and projections of this graph into 3‐space. The paper also contains methods for testing the smoothness of interpolants over surfaces and a short tutorial on fundamental ideas of multidimensional descriptive geometry which can be helpful in several areas of scientific visualization.",

keywords = "Functions on surfaces, Isophotes, Multidimensional geometry, Scientific visualization",

author = "Helmut Pottmann and Hans Hagen and Andreas Divivier",

year = "1991",

doi = "10.1002/vis.4340020205",

language = "English (US)",

volume = "2",

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AU - Pottmann, Helmut

AU - Hagen, Hans

AU - Divivier, Andreas

PY - 1991

Y1 - 1991

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AB - We describe techniques for the visualization of a scalar‐valued function defined over a surface. The main interest focuses on a 4D graph of such a function and projections of this graph into 3‐space. The paper also contains methods for testing the smoothness of interpolants over surfaces and a short tutorial on fundamental ideas of multidimensional descriptive geometry which can be helpful in several areas of scientific visualization.

KW - Functions on surfaces

KW - Isophotes

KW - Multidimensional geometry

KW - Scientific visualization

UR - http://www.scopus.com/inward/record.url?scp=84995135277&partnerID=8YFLogxK

U2 - 10.1002/vis.4340020205

DO - 10.1002/vis.4340020205

M3 - Article

AN - SCOPUS:84995135277

SN - 1049-8907

VL - 2

SP - 52

EP - 58

JO - The Journal of Visualization and Computer Animation

JF - The Journal of Visualization and Computer Animation

IS - 2

ER -

Visualizing functions on a surface

Abstract

Keywords

ASJC Scopus subject areas

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