splines

Calculate and display an aggregating particle

Authored and Contributed by

Ronald Joe Record

Restrictions

Copyright 1993, 1994 Ronald Joe Record

Availability

The mathrec source code is freely redistributable. The author maintains binary distributions for Caldera OpenLinux 3.1, OpenServer, UnixWare 7 and Open UNIX 8. These distributions and the source code are available via:

Binary Distributions
OpenLinux/Open UNIX	ftp://ftp2.sco.com/pub/.../RPMS/mathrec-1.1c-1col.i586.rpm (no longer available)
UnixWare 7	ftp://ftp2.sco.com/pub/skunkware/uw7/Packages/mathrec-1.1b.pkg
OpenServer	ftp://ftp2.sco.com/pub/skunkware/osr5/vols/mathrec-1.1c-VOLS.tar

Source Code Distributions
Source RPM	ftp://ftp2.sco.com/pub/.../SRPMS/mathrec-1.1c-1col.src.rpm (no longer available)
Gzip'd tar archive	ftp://ftp2.sco.com/pub/skunkware/src/x11/misc/mathrec-1.1c.tar.gz

History

Written using CGI October 5, 1987 by Ron Record (sco!rr) Rewritten using X11 Apr 20, 1993 by Ron Record (rr@sco.com)

From "Fundamentals of Interactive Computer Graphics" by Foley and Van Dam : "This terminology traces back to the long flexible strips of metal, called splines, used by draftsmen to lay out the surfaces of airplanes and ships. The metal splines, unless severely stressed, also have second-order continuity."

From "Principles of Interactive Computer Graphics" by Newman and Sproull : "P. Bezier, of the French firm Regie Renault, pioneered the use of computer modeling of surfaces in automobile design. His UNISURF system, used by designers since 1972, has been applied to define the outer panels of several cars marketed by Renault."

Description

This program uses bouncing balls as control points for generating cubic curves. Two methods are used to calculate the curve. One, the Bezier form for defining a cubic, uses n control points with the tangent vectors at the endpoints being defined by the line segments between control points. The other, referred to as the B-spline cubic representation, doesn't pass thru any control points. In the B-spline, the points where the curve "joins" and their derivatives are weighted sums of the three immediately adjacent control points.

Build

To build the splines binary, either use the Imakefile or the sample makefile, Makefile.std. If your system doesn't support prototypes, uncomment the PROTODEFINE line of the Imakefile.

After modifying the Imakefile appropriately, either use "xmkmf" or "imake" to create a Makefile. Then just type "make" to compile splines.

The manual page can be formatted by typing "nroff -man splines.man > splines.1".

Install

To install splines, copy the splines binary to the desired location (the sample makefile puts it in /usr/local/bin) Copy the formatted man page to wherever you keep your local doc (i use /usr/local/man/cat1 for imaging software), then add that location to your MANPATH.

Productivity

None

Safety

I have used this for years without harm.

Work Planned

None

Documentation

manual page.

Verification

You can test splines by just invoking it with no arguments.

Some "interesting" ways to run splines are provided as shell scripts in the params subdirectory of the source and in /usr/local/mathrec/splines.

Feedback

Ideas, comments, additions, deletions, suggestions, bug reports, code review,... e-mail Ronald Record at rr@ronrecord.com