Summary: | 碩士 === 中原大學 === 資訊工程研究所 === 83 === Offsetting is a geometric operation which expands outline of a
given object, it is one important method for applications of
computer graphics, computer aided design (CAD), and image
processing. In this paper, we firstly describe mathematic and
differential properties of variable radius offset curve,and we
also state the difficulty of constructing offset radius
function for the design of variable radius offset curves in
computer graphic applications. In order to design variable
offset curve effectively and friendly, we present one method to
slove the problem, via moving the control points of cubic Bzier
curve to generate the radius offset funtion. The algorithm will
be discussed for further analysis. Furthermore, we provide a
method to directly manipulate the interior points of variable
radius offset curves. By point to point,we can manipulate shape
of variable radius offset curves freely. The advantages of
conventional interpolation mathods are also kept in the method.
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