Image shape representation using curve fitting

Pornchai Mongkolnam, Thanee Dechsakulthorn, Chakarida Nukoolkit · 2006

We present an approach for representing digital image by using B-spline curve fittings to the segmented digital image. The image is first segmented to form isolated contours and regions. Each region's boundary (contour) is thereafter approximated by a B-spline curve. A cubic B-spline curve is used instead of a far higher degree Bezier curve to approximate the boundary because it has a local control property and is less wiggly. The obtained B-spline curves are collectively composed and used to represent the original image. One of the many practical applications lies in image retrieval, clustering and classification where general shapes, arrangement and composition of control points of those obtained B-spline curves are used to compare and find similarity between images in a collection.

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