Piecewise linear homeomorphisms

Moïse, Edwin E.

doi:10.1007/978-1-4612-9906-6_6

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Relocation Of Poi1

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2018

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“…The value C p p ( , ) Secondly, a correspondence is established between the points in P ′ and Q by mapping each vertex p ′ i to q i and applying a piecewise linear homeomorphism (a bijective continuous function between topological spaces). 10,11 At the end, the original image is "distorted" using the q i locations as anchor points. A way to do this is to obtain a triangulation T p′ of P ′ (a subdivision into triangles) of the image.…”

Section: Relocation Of Poimentioning

confidence: 99%

Towards adaptive maps

et al. 2018

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A "standard" map provides a simplified representation of the real world but is not able to adapt to the needs of different users having different preferences. On the contrary, adaptive maps are aimed at representing the world as seen through the eyes of the user depicting the suitability/difficulty of the paths between points of interest according to the user's preferences. Adaptive maps consider, simultaneously, multiple attributes like travel time, distance, slopes, etc. In this paper, a model for adaptive maps is presented. A generation and a visualization methods are proposed. To illustrate the results, five different adaptive maps are generated and visualized considering different attributes and preferences.

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Section: Relocation Of Poimentioning

confidence: 99%