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Featured Applications |
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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
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Gears:
Generates parametric equations of surfaces of machine
parts. |
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Multistage
Pyramid:
Generates parametric equations of polysurfaces. |
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Airplane
outline:
Parametric
equations of piecewise-cubic
interpolating Hermite polynomials. |
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Airplane:
Parametric
equations of
piecewise linear surfaces. |
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Cut
Surfce:
Transformation of the equations of surfaces |
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Splines:
Equations of spline functions,
curves and surfaces in an analytical
form. |
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Square
Bent Pipe:
Analytical form of equations
of
surfaces composed from different pieces. |
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Projection
imaging:
Projection of surfaces onto the oblique plane. |
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Spatial
Curve:
Model the motion of machining tools for numerical
control machines. |
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A
house:
Analytical form of the parametric
equation of a piecewise bilinear surface. |
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Equations
of polyhedrons:
General
parametric equations of
polygons
and polyhedrons |
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Polylines:
Equations of piecewise smooth continuous functions
and curves, both linear and nonlinear. |
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Curvilinear
square pipe:
Parametric equation of the surface
formed by cubic splines spanned the curvilinear
frame. |
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Moebius
Strip:
Equations
of curvilinear segments of finite length and surfaces
with boundaries. |
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Maple
Leaf:
Parametric
equations of plain regions and
surfaces above them. |
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Star:
Parametric equations of curvilinear surfaces with
edges and boundaries. |
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Plane
regions:
Parametric equations of plane regions. |
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Applied and Scientific Graphics
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Cooling
of a Cube:
Solving
some initial boundary value problems for the heat
conduction equation. |
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Mathematical
billiards:
Model the path of a point inside the flat rectangular
box. |
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Stress
Visualization:
Visualization of different fields on the plane and
on the surfaces of the solids. |
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Longitudinal
Wave:
Visualize longitudinal wave motion. |
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Reflected
wave-front:
Model the reflection of the wave-front from boundaries
of the rectangular region. |
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Bend
of a channel:
Visualize the stress on the surface of the loaded
beam. |
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Torsional
vibration:
Visualize torsional vibration of a cylindrical shaft. |
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Rayleigh
Surface Wave:
Visualize some types of waves in solids and liquids. |
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Effect
of concentrated loads at an elastic half plane:
Visual illustrations of
analytical
solutions in theory
of elasticity. |
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One-Dimensional
Waves:
Constructs periodic extension of function,
which can be used for
solving of boundary value problems |
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Crank
Mechanism:
Simulation of the crank's movement. |
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Simple
beam:
Unified formula equations of the bending moment and
deflection of the beam, which
carries piecewise loadings. |
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Running
Spline:
Get the exact solutions of the wave equation. |
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