A study of the LMT-skeleton
We present improvements in finding the LMT-skeleton, which is a subgraph of all minimum weight triangulations, independently proposed by Belleville et al, and Dickerson and Montague. Our improvements consist of: (1) A criteria is proposed to identify edges in all minimum weight triangulations, which is a relaxation of the definition of local minimality used in Dickerson and Montague's method to find the LMT-skeleton; (2) A worst-case efficient algorithm is presented for performing one pass of Dickerson and Montague's method (with our new criteria); (3) Improvements in the implementation that may lead to substantial space reduction for uniformly distributed point sets.
KeywordsPriority Queue Space Usage Simple Polygon Lower Envelope Active Edge
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