Polygon Optimization Problems
Polygon Optimization Problems
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In our eReader you can find the full English version of the book. Read Polygon Optimization Problems 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 Polygon Optimization Problems
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For a pair of directed lines L and M, if Z. N, V/' is directed' toward LDM, then we say that L precedes M . See Figure 5. 1 Figure 5. 1. Z. Precedes M Here, we assume that L O M has the same direction as L .
48 49 Definition. Let ^ be a set of points in the plane. For a pair of directed lines (Lq, Z. , ) such that Lq precedes L, let an ({Lq, Z, R))-chord (or just chord for short) denote a directed line segment contained in Lq DZ, " passing through at least one point of R and with its two cndpoi...nts in Lq and Z, respectively. The direction of a chord is from the endpoint in L^ to the one in L, . The points of /? in a chord are called the pivots of the chord. We say that a sequence of (Z-q, Z, /?)-chords C = (C, Cj C, „) is upward convex, if (1) For 1 = m, C ^ intersects C, . , at x, (Cq = Lq and C„. , = Z. , ).
(2) For I = 0, . . . , m - 1, C, precedes C, ^, . Let p(C) denote the simple polygon of Lo-nzLf n(nc, -) 1- 1 A sequence C of (Z, q, Z, /?) chords is said to enclose R if every point of R which is in Lq r\L^, is also in p(C).
What to read after Polygon Optimization Problems?
You can find similar books in the "Read Also" column, or choose other free books by Jyun Sheng Chang to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
For a pair of directed lines L and M, if Z. N, V/' is directed' toward LDM, then we say that L precedes M . See Figure 5. 1 Figure 5. 1. Z. Precedes M Here, we assume that L O M has the same direction as L .
48 49 Definition. Let ^ be a set of points in the plane. For a pair of directed lines (Lq, Z. , ) such that Lq precedes L, let an ({Lq, Z, R))-chord (or just chord for short) denote a directed line segment contained in Lq DZ, " passing through at least one point of R and with its two cndpoi...nts in Lq and Z, respectively. The direction of a chord is from the endpoint in L^ to the one in L, . The points of /? in a chord are called the pivots of the chord. We say that a sequence of (Z-q, Z, /?)-chords C = (C, Cj C, „) is upward convex, if (1) For 1 = m, C ^ intersects C, . , at x, (Cq = Lq and C„. , = Z. , ).
(2) For I = 0, . . . , m - 1, C, precedes C, ^, . Let p(C) denote the simple polygon of Lo-nzLf n(nc, -) 1- 1 A sequence C of (Z, q, Z, /?) chords is said to enclose R if every point of R which is in Lq r\L^, is also in p(C).
What to read after Polygon Optimization Problems?
You can find similar books in the "Read Also" column, or choose other free books by Jyun Sheng Chang to read onlineMoreLess
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