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#### flstb_dualchain

Name

flstb_dualchain Find chain of dual pixels adjacent to a shape in bilinear interpolated image

Command Synopsis

flstb_dualchain tree shape boundary

tree : The tree of shapes

shape : The shape whose boundary is to be computed

boundary : The chain of adjacent dual pixels (output flist)

Function Summary

void flstb_dualchain (pTree , pShape , pBoundary , ctabtabSaddleValues )

Shapes pTree ;

Shape pShape ;

Flist pBoundary ;

Description

This module returns the chain of dual pixels adjacent to a shape in a bilinear interpolated image (see flst_bilinear).

Dual pixels are unit squares centered at integral coordinates in the rectangle [0, W]×[0, H] (thus some of them are only partially included in the rectangle). A dual pixel D is said adjacent to a shape S if D S D S.

Dual edgels are unit segments, horizontal or vertical, whose one extremal point is a center of pixel. A dual edgel E is said adjacent to a shape S if E S E S, i.e., one of its extremal points belongs to the shape and the other not.

The dual pixels adjacent to a shape S are ordered in such a manner that two successive ones share a common dual edgel as a face, this dual edgel being adjacent to S. Therefore, coding the chain of adjacent dual pixels or of adjacent dual edgels is equivalent. We prefer the former, as we do not have to distinguish between horizontal and vertical.

The orientation of the chain is counterclockwise, so that the shape is at the left.

This is a 4-connected chain of dual pixels. As usual, dual pixels are coded by the coordinates of their top left corner.

Each dual pixel is coded by its center, which has integral coordinates.

The interest of such a coding is that the level line boundary of S crosses all the dual edgels adjacent to S, so as any level line corresponding to a shape containing S but strictly contained in its parent in the tree returned by flst_bilinear (i.e., the closest containing shape passing through a pixel center or a saddle point).

This chain is used by flstb_boundary to compute the level line associated to a shape.

The parameter ctabtabSaddleValues, which cannot be furnished by a command line call to the module, is of true type float** and is a two dimensional array accessing the saddle values of the bilinear interpolated image, see module fsaddles. If this array is NULL, it is computed inside the module; the interest is that if this module is called for each shape and the parameter furnished, it saves computation time.

Version 1.0

Last Modification date : Thu Nov 29 20:23:56 2001

Author

Pascal Monasse

Next: flst_bilinear Up: Reference Previous: flstb_dual   Contents   Index
mw 2004-05-05