On finding the shortest distance of a point from a line: Which method do you prefer?
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DOI: 10.1007/s12045-017-0514-x
Abstract: The formula for the shortest distance of a point from a line can be derived in several different ways. Some typical methods are taught at the elementary (i.e., high-school and junior college) level. However, solving… read more here.
Keywords: point line; shortest distance; distance point;
Point-to-line polymers and orthogonal Whittaker functions
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DOI: 10.1090/tran/7423
Abstract: We study a one-dimensional directed polymer model in an inverse-gamma random environment, known as the log-gamma polymer, in three different geometries: point-to-line, point-to-half-line and when the polymer is restricted to a half-space with end point… read more here.
Keywords: point line; whittaker functions; line; line polymers ... See more keywords
Simplification of 2D Polygonal Partitions via Point‐line Projective Duality, and Application to Urban Reconstruction
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DOI: 10.1111/cgf.14511
Abstract: We address the problem of simplifying two‐dimensional polygonal partitions that exhibit strong regularities. Such partitions are relevant for reconstructing urban scenes in a concise way. Preserving long linear structures spanning several partition cells motivates a… read more here.
Keywords: line projective; projective duality; polygonal partitions; line ... See more keywords