Shape Reconstruction from Apparent Contours

Shape Reconstruction from Apparent Contours

Author: Giovanni Bellettini

Publisher: Springer

Published: 2015-02-25

Total Pages: 385

ISBN-13: 3662451913

DOWNLOAD EBOOK

Motivated by a variational model concerning the depth of the objects in a picture and the problem of hidden and illusory contours, this book investigates one of the central problems of computer vision: the topological and algorithmic reconstruction of a smooth three dimensional scene starting from the visible part of an apparent contour. The authors focus their attention on the manipulation of apparent contours using a finite set of elementary moves, which correspond to diffeomorphic deformations of three dimensional scenes. A large part of the book is devoted to the algorithmic part, with implementations, experiments, and computed examples. The book is intended also as a user's guide to the software code appcontour, written for the manipulation of apparent contours and their invariants. This book is addressed to theoretical and applied scientists working in the field of mathematical models of image segmentation.


The Natural Way to Draw

The Natural Way to Draw

Author: Kimon Nicolaïdes

Publisher: Houghton Mifflin Harcourt

Published: 1941

Total Pages: 244

ISBN-13: 9780395530078

DOWNLOAD EBOOK

An approach to drawing technique based on observation covering contour and gesture, model drawing, memory in ink and watercolor; anatomy study, drapery, shade, structure, and other topics in drawing.


Rapid Prototyping

Rapid Prototyping

Author: Patri K. Venuvinod

Publisher: Springer Science & Business Media

Published: 2013-04-17

Total Pages: 400

ISBN-13: 1475763611

DOWNLOAD EBOOK

Since the dawn of civilization, mankind has been engaged in the conception and manufacture of discrete products to serve the functional needs of local customers and the tools (technology) needed by other craftsmen. In fact, much of the progress in civilization can be attributed to progress in discrete product manufacture. The functionality of a discrete object depends on two entities: form, and material composition. For instance, the aesthetic appearance of a sculpture depends upon its form whereas its durability depends upon the material composition. An ideal manufacturing process is one that is able to automatically generate any form (freeform) in any material. However, unfortunately, most traditional manufacturing processes are severely constrained on all these counts. There are three basic ways of creating form: conservative, subtractive, and additive. In the first approach, we take a material and apply the needed forces to deform it to the required shape, without either adding or removing material, i. e. , we conserve material. Many industrial processes such as forging, casting, sheet metal forming and extrusion emulate this approach. A problem with many of these approaches is that they focus on form generation without explicitly providing any means for controlling material composition. In fact, even form is not created directly. They merely duplicate the external form embedded in external tooling such as dies and molds and the internal form embedded in cores, etc. Till recently, we have had to resort to the 'subtractive' approach to create the form of the tooling.


Nonlinear Waves and Solitons on Contours and Closed Surfaces

Nonlinear Waves and Solitons on Contours and Closed Surfaces

Author: Andrei Ludu

Publisher: Springer Nature

Published: 2022-11-04

Total Pages: 583

ISBN-13: 3031146417

DOWNLOAD EBOOK

This new edition has been thoroughly revised, expanded and contain some updates function of the novel results and shift of scientific interest in the topics. The book has a Foreword by Jerry L. Bona and Hongqiu Chen. The book is an introduction to nonlinear waves and soliton theory in the special environment of compact spaces such a closed curves and surfaces and other domain contours. It assumes familiarity with basic soliton theory and nonlinear dynamical systems. The first part of the book introduces the mathematical concept required for treating the manifolds considered, providing relevant notions from topology and differential geometry. An introduction to the theory of motion of curves and surfaces - as part of the emerging field of contour dynamics - is given. The second and third parts discuss the modeling of various physical solitons on compact systems, such as filaments, loops and drops made of almost incompressible materials thereby intersecting with a large number of physical disciplines from hydrodynamics to compact object astrophysics. This book is intended for graduate students and researchers in mathematics, physics and engineering.