3 D Curve Matching

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3 D Curve Matching
Eyal Kishon
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However, as will be seen from the description of the matching algorithm in the next section, we only use these signatures in the first stage of the algo- rithm to filter out unsuitable candidates for matching. The reduced number of candidates that survive this filtering procedure are then matched by the robust 3-D matching algorithm due to Schwartz and Sharir, which takes into account all 3-D information about given sample points.
3 The Matching Algorithm In this section we describe the matchin
...g algorithm applied in our experi- ments and the geometric hashing used. This technique was introduced for the 2-D case in [KSSS 87], and later improved in [HW]. The approach of [HW] is well tailored for partial curve matching and is used in our 3-D experiments. This method can be applied to the problem of matching one curve against another {two-curve matching), as well as to the problem of matching an observed curve against a large data-base of model curves. Al- 10 though the purpose of our experiment was two-curve matching, we describe the algorithm in general terms to emphasize that it is suitable for use in the general object recognition problem (see discussion in the Introduction).

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