Algorithmic Foundation of Multi-Scale Spatial Representation by Zhilin Li

By Zhilin Li

With the frequent use of GIS, multi-scale illustration has develop into a big factor within the realm of spatial facts dealing with. even if, no publication up to now has systematically tackled the various facets of this self-discipline. Emphasizing map generalization, Algorithmic origin of Multi-Scale Spatial illustration addresses the mathematical foundation of multi-scale illustration, in particular, the algorithmic foundation.

Using easy-to-understand language, the writer makes a speciality of geometric ameliorations, with every one bankruptcy surveying a specific spatial function. After an creation to the fundamental operations required for geometric modifications in addition to a few mathematical and theoretical historical past, the publication describes algorithms for a category of element features/clusters. It then examines algorithms for person line good points, resembling the aid of information issues, smoothing (filtering), and scale-driven generalization, through a dialogue of algorithms for a category of line gains together with contours, hydrographic (river) networks, and transportation networks. the writer additionally addresses algorithms for person sector beneficial properties, a category of sector positive factors, and diverse displacement operations. the ultimate bankruptcy in short covers algorithms for 3D surfaces and 3D features.

Providing a radical therapy of low-level algorithms, Algorithmic beginning of Multi-Scale Spatial illustration provides the mathematical foundation for multi-scale representations of spatial data.

Show description

Read Online or Download Algorithmic Foundation of Multi-Scale Spatial Representation PDF

Similar geometry & topology books

Manifolds all of whose Geodesics are Closed (Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge)

X 1 O S R Cher lecteur, J'entre bien tard dans los angeles sphere etroite des ecrivains au double alphabet, moi qui, il y a plus de quarante ans deja, avais accueilli sur mes terres un basic epris de mathematiques. JI m'avait parle de ses projets grandioses en promettant d'ailleurs de m'envoyer ses ouvrages de geometrie.

Mathematical Excursions to the World's Great Buildings

From the pyramids and the Parthenon to the Sydney Opera condo and the Bilbao Guggenheim, this publication takes readers on an eye-opening journey of the math at the back of a few of the world's so much unbelievable structures. superbly illustrated, the e-book explores the milestones in undemanding arithmetic that liven up the certainty of those constructions and combines this with an in-depth examine their aesthetics, background, and constitution.

The Mathematics of Knots: Theory and Application: 1 (Contributions in Mathematical and Computational Sciences)

The current quantity grew out of the Heidelberg Knot concept Semester, geared up by means of the editors in iciness 2008/09 at Heidelberg college. The contributed papers deliver the reader brand new at the at present such a lot actively pursued components of mathematical knot idea and its functions in mathematical physics and telephone biology.

Lectures on Algebraic Cycles (New Mathematical Monographs)

Spencer Bloch's 1979 Duke lectures, a milestone in smooth arithmetic, were out of print nearly seeing that their first booklet in 1980, but they've got remained influential and are nonetheless the easiest position to benefit the guiding philosophy of algebraic cycles and reasons. This version, now professionally typeset, has a brand new preface by means of the writer giving his standpoint on advancements within the box over the last 30 years.

Extra resources for Algorithmic Foundation of Multi-Scale Spatial Representation

Sample text

Download PDF sample

Rated 4.93 of 5 – based on 41 votes