On Curve Matching
On Curve Matching
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2. Definition of the problem. We consider two planar curves, having at least one "sufficiently long" common subcurve. The data describing the curves is assumed to be noisy. ( In our experi- ments curves are extracted as boundary curves of 2-D objects using a digitizing cam- era. ) We want to find the longest common subcurve of these two curves. Once having this subcurve, we want to find the angle and displacement by which we must rotate and translate one of the curves to make it fit the other c...urve along their com- mon portion. 3. Preprocessing. We begin with three major preprocessing steps : 1) Planar pieces are photographed by a black and white RCA 2000 camera, and the pictures are digitized and thresholded to get a binary image for each piece. 2) The boundary of each piece is extracted from the binary image. These boun- dary curves are our "experimental" curves. 3) A smoothing procedure is applied to each curve. We use the procedure which is described in [S-S]. Basically, this expands the noisy curve to a narrow strip defined by a certain threshold value e and then finds the shortest path lying in this 2c-wide strip.
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To quickly assess the difficulty of the text, read a short excerpt:
2. Definition of the problem. We consider two planar curves, having at least one "sufficiently long" common subcurve. The data describing the curves is assumed to be noisy. ( In our experi- ments curves are extracted as boundary curves of 2-D objects using a digitizing cam- era. ) We want to find the longest common subcurve of these two curves. Once having this subcurve, we want to find the angle and displacement by which we must rotate and translate one of the curves to make it fit the other c...urve along their com- mon portion. 3. Preprocessing. We begin with three major preprocessing steps : 1) Planar pieces are photographed by a black and white RCA 2000 camera, and the pictures are digitized and thresholded to get a binary image for each piece. 2) The boundary of each piece is extracted from the binary image. These boun- dary curves are our "experimental" curves. 3) A smoothing procedure is applied to each curve. We use the procedure which is described in [S-S]. Basically, this expands the noisy curve to a narrow strip defined by a certain threshold value e and then finds the shortest path lying in this 2c-wide strip.
What to read after On Curve Matching?
You can find similar books in the "Read Also" column, or choose other free books by H Wolfson to read onlineMoreLess
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