
Featured Applications

The algorithms in PscFunctions
are the results of new research by the author. All
graphics on this web page are
drawn using general analytic equations of the figures generated by routines of the package.
These examples will show how easy it is to create equations of complicated figures in
PscFunctions package. 
Geometric Simulation


Gears:
Generates parametric equations of surfaces of machine parts. 

Multistage
Pyramid:
Generates parametric equations of polysurfaces. 

Airplane
outline:
Parametric
equations of piecewisecubic interpolating
Hermite polynomials. 

Airplane:
Parametric
equations of piecewise linear surfaces. 

Cut Surfce:
Transformation of the equations of surfaces 

Splines:
Equations
of spline functions,
curves and surfaces in an analytical form.


Square Bent
Pipe:
Analytical form of equations of
surfaces composed from different pieces. 

Projection imaging:
Projection of surfaces onto the oblique plane. 

Spatial Curve:
Model the motion of machining tools for numerical control machines. 

A house:
Analytical form of the parametric equation of a
piecewise bilinear surface. 

Equations
of polyhedrons:
General parametric equations of
polygons
and polyhedrons 

Polylines:
Equations of piecewise smooth continuous functions and curves, both linear
and nonlinear. 

Curvilinear
square pipe:
Parametric equation of the surface
formed by cubic splines spanned the curvilinear
frame. 

Moebius
Strip:
Equations of curvilinear
segments of finite length and surfaces with boundaries. 

Maple
Leaf:
Parametric
equations of plain regions and
surfaces above them. 

Star:
Parametric equations of curvilinear surfaces with edges and boundaries. 

Plane regions:
Parametric equations of plane regions. 








Applied and Scientific Graphics


Cooling of a
Cube:
Solving
some initial boundary value problems for the heat conduction equation. 

Mathematical billiards:
Model the path of a point inside the flat rectangular box. 

Stress
Visualization:
Visualization of different fields on the plane and on the surfaces of the
solids. 

Longitudinal
Wave:
Visualize longitudinal wave motion. 

Reflected
wavefront:
Model the reflection of the wavefront from boundaries of the rectangular
region. 

Bend of a channel:
Visualize the stress on the surface of the loaded beam. 

Torsional
vibration:
Visualize torsional vibration of a cylindrical shaft. 

Rayleigh Surface
Wave:
Visualize some types of waves in solids and liquids. 

Effect
of concentrated loads at an elastic half plane:
Visual
illustrations of analytical
solutions in theory of
elasticity. 

OneDimensional
Waves:
Constructs periodic extension of function, which
can be used for solving of boundary value problems 

Crank Mechanism:
Simulation of the crank's movement. 

Simple beam:
Unified formula equations of the bending moment and deflection
of the beam, which carries piecewise loadings. 

Running Spline:
Get the exact solutions of the wave equation. 



