Functions on surface visualization deals with the visual display of scalar functions whose domain is a geometric surface. The surface may be the isosurface of another scalar variable, or simply a geometric object with an associated function, such as the pressure over an airplane wing.

The images and movie below are isosurfaces of wind speed from a climate model simulation. The color is based on pressure, where blue hues indicate low pressure and red hues indicate high pressure.

C. Bajaj, F. Bernardini, G. Xu
"Reconstruction of Surfaces and Surfaces-on-Surfaces from Unorganized Weighted Points"
Accepted for publication in Algorithmica, (1996)
Revised version of the Technical Report, CSD-TR-94-001, Purdue University, Computer Science (January, 1994)

C. Bajaj, G. Xu
"Modeling and Visualization of and C1 and C2 Scattered Function Data on Curved Surfaces"
Full version submitted for publication in Computer Aided Geometric Design, (1996).
Proceedings: 2nd Pacific Conference on Computer Graphics and Applications, PAC94, Beijing China, 19-29

C. Bajaj, F. Bernardini, G. Xu
"Automatic Reconstruction of Surfaces and Scalar Fields from 3D Scans''
Proceedings: Computer Graphics (1995), Annual Conference Series, SIGGRAPH 95, ACM SIGGRAPH, 109-118

C. Bajaj, F. Bernardini, and G. Xu.
"Adaptive reconstruction of surfaces and scalar fields from scattered trivariate data."
Presented at the Fourth SIAM Conference on Geometric Design, Nashville, Tennessee, November 1995.

C. Bajaj, F. Bernardini, J. Chen, G. Xu
"C1 and C2 Reconstruction of Surfaces and Scalar Fields."
Presented at the Fourth SIAM Conference on Geometric Design, Nashville, TN, (Nov. 1995)

C. Bajaj, F. Bernardini, and G. Xu.
"Adaptive reconstruction of surfaces and scalar fields from dense scattered trivariate data."
Technical Report CSD-TR-95-028, Purdue University, Computer Science (April 1995)
http://www.cs.purdue.edu/homes/fxb/Papers/PS/boxtr.ps.gz

C. Bajaj, G. Xu
"Modeling Scattered Function Data on Curved Surfaces"
Fundamentals of Computer Graphics, edited by J. Chen, N. Thalmann, Z. Tang, and D. Thalmann,
World Scientific Publishing Co., (1994), 19-29.
ftp://ftp.cs.purdue.edu/pub/shastra/pubs/sfsonsfs2.ps.gz