An Efficient Motion Planning Algorithm for a Convex Polygonal Object in 2 Dimens
An Efficient Motion Planning Algorithm for a Convex Polygonal Object in 2 Dimens
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In our eReader you can find the full English version of the book. Read An Efficient Motion Planning Algorithm for a Convex Polygonal Object in 2 Dimens Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book An Efficient Motion Planning Algorithm for a Convex Polygonal Object in 2 Dimens
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3. 4. Constructing the edge-graph EG By now we have calculated a set T of size OiknX^ikn)) that contains all the critical orientations of all three types. Suppose that T is sorted in ascend- ing order, and assume without loss of generality that = is not an orienta- tion in T.
-27- As in Section 2, we represent each node i of the graph EG by a pair (u, L^), where L„ = (61, 82) is the angular life span of 4, and where u is the (discrete labeling of the) comer of VGq, for C; L„, that lies on the e...dge of FP represented by ^.
The calculation of EG will be accomplished in a manner similar to that of [LSI]. That is, we process critical orientations in increasing order, maintain- ing the "cross-section" graph VGq and use it to update EG at each critical orientation. At each such orientation 6 we determine those nodes of EG whose life-span terminates at 6 (these are nodes whose corresponding comers have to be deleted from VGe), and the new nodes whose life span starts at 9. Nodes of the first kind will already have been stored in EG, and we update their life span by adding 6 as its terminal orientation.
What to read after An Efficient Motion Planning Algorithm for a Convex Polygonal Object in 2 Dimens?
You can find similar books in the "Read Also" column, or choose other free books by K Kedem to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
3. 4. Constructing the edge-graph EG By now we have calculated a set T of size OiknX^ikn)) that contains all the critical orientations of all three types. Suppose that T is sorted in ascend- ing order, and assume without loss of generality that = is not an orienta- tion in T.
-27- As in Section 2, we represent each node i of the graph EG by a pair (u, L^), where L„ = (61, 82) is the angular life span of 4, and where u is the (discrete labeling of the) comer of VGq, for C; L„, that lies on the e...dge of FP represented by ^.
The calculation of EG will be accomplished in a manner similar to that of [LSI]. That is, we process critical orientations in increasing order, maintain- ing the "cross-section" graph VGq and use it to update EG at each critical orientation. At each such orientation 6 we determine those nodes of EG whose life-span terminates at 6 (these are nodes whose corresponding comers have to be deleted from VGe), and the new nodes whose life span starts at 9. Nodes of the first kind will already have been stored in EG, and we update their life span by adding 6 as its terminal orientation.
What to read after An Efficient Motion Planning Algorithm for a Convex Polygonal Object in 2 Dimens?
You can find similar books in the "Read Also" column, or choose other free books by K Kedem to read onlineMoreLess
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