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curve2polyline


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 -- Function File: POLYLINE = curve2polyline (CURVE)
 -- Function File: POLYLINE = curve2polyline (...,PROPERTY,VALUE,...)
     Adaptive sampling of a parametric curve.

     The CURVE is described as a 2-by-N matrix.  Rows correspond to the
     polynomial (compatible with 'polyval') describing the respective
     component of the curve.  The curve must be parametrized in the
     interval [0,1].  The vertices of the polyline are accumulated in
     regions of the curve where the curvature is higher.

     *Parameters*
     ''Nmax''
          Maximum number of vertices.  Not used.
     ''Tol''
          Tolerance for the error criteria.  Default value '1e-4'.
     ''MaxIter''
          Maximum number of iterations.  Default value '10'.
     ''Method''
          Not implemented.

     See also: shape2polygon, curveval.


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Adaptive sampling of a parametric curve.



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curveval


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 -- Function File: P = curveval (CURVE, T)
     Evaluates parametric CURVE at T.


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Evaluates parametric CURVE at T.



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shape2polygon


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 -- Function File: POLYGON = shape2polygon (SHAPE)
 -- Function File: POLYGON = shape2polygon (...,PROPERTY,VALUE,...)
     Transforms a 2D shape described by piecewise smooth polynomials
     into a polygon.

     SHAPE is a n-by-1 cell where each element is a pair of polynomials
     compatible with polyval.  POLYGON is a k-by-2 matrix, where each
     row represents a vertex.  The property-value pairs are passed to
     'curve2polyline'.

     See also: polygon2shape, curve2poyline.


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Transforms a 2D shape described by piecewise smooth polynomials into a
polygon.



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shapearea


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 -- Function File: A = shapearea (PP)
     Calculate the area of a 2D shape defined with piecewise smooth
     polynomials.

     Shape is defined with piecewise smooth polynomials.  PP is a cell
     where each elements is a 2-by-(poly_degree+1) array containing a
     pair of polynomials.

     'px(i,:) = pp{i}(1,:)' and 'py(i,:) = pp{i}(2,:)'.

     See also: shapecentroid, shape2polygon, shapeplot.


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Calculate the area of a 2D shape defined with piecewise smooth
polynomials.



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shapecentroid


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 -- Function File: CM = shapecentroid (PP)
     Centroid of a simple plane shape defined with piecewise smooth
     polynomials.

     The shape is defined with piecewise smooth polynomials.  PP is a
     cell where each elements is a 2-by-(poly_degree+1) matrix
     containing a pair of polynomials.  'px(i,:) = pp{i}(1,:)' and
     'py(i,:) = pp{i}(2,:)'.

     The edges of the shape should not self-intersect.  This function
     does not check for the sanity of the shape.

     See also: shapearea, shape2polygon.


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Centroid of a simple plane shape defined with piecewise smooth
polynomials.



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shapeplot


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 -- Function File: H = shapeplot (SHAPE)
 -- Function File: H = shapeplot (SHAPE, N)
 -- Function File: H = shapeplot (..., PARAM, VALUE)
     Pots a 2D shape defined by piecewise smooth polynomials in the
     current axis.

     PP is a cell where each elements is a 2-by-(poly_degree+1) matrix
     containing a pair of polynomials.  N is the number of points to be
     used in non-straight edges.  Additional parameter value pairs are
     passed to 'drawPolygon'.

     See also: drawPolygon, shape2polygon.


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Pots a 2D shape defined by piecewise smooth polynomials in the current
axis.



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shapetransform


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 -- Function File: NSHAPE = shapetransform (SHAPE, T)
     Applies transformation to a shape defined by piecewise smooth
     polynomials.

     SHAPE is a cell where each elements is a 2-by-(poly_degree+1)
     matrix containing a pair of polynomials.

     Format of T can be one of :
           [c] , [a b] , [a b c] or [a b c]
           [f]   [d e]   [d e f]    [d e f]
                                    [0 0 1]

     See also: shape2polygon, shapeplot.


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Applies transformation to a shape defined by piecewise smooth
polynomials.





