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Abstract: In this paper we have developed a family of shape measures. All the measures from the family evaluate the degree to which a shape looks like a predefined convex polygon. A quite new approach ...

Abstract: In this paper, we investigate how to topologically and geometrically characterize the intersection relations between a movable convex polygon A and a set /spl Xi/ of possibly overlapping ...

"In a class populated by students who already have some exposure to the concept of a manifold, the presence of chapter 3 in this text may make for an unusual and interesting course. The primary ...

Routines to create rounded corners, with either circular rounding, or continuous curvature rounding with no sudden curvature transitions. Provides rounding of corners or rounding that preserves corner ...

Abstract: If a smooth, closed, and embedded curve is deformed along its normal vector field at a rate proportional to its curvature, it shrinks to a circular point. This curve evolution is called ...

Path A series of points joined by straight line segements. Bezier Curve A polynomial curve defined by a list of control points. The curve starts at the first control point and ends at the last one.

Constraint qualifications (CQ) are assumptions on the algebraic description of the feasible set of an optimization problem that ensure that the KKT conditions hold at any local minimum. In this work ...

Perform calculations on lines, polygons, planes and circles, including normals, intersections of objects, distance between objects, and tangent lines. Throughout this library, lines can be treated as ...

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